• 


^: 


L.    P.    SHIDY 


USEFUL  TABLES 


FROM 


BOWDITCH'S  PRACTICAL  NAVIGATOR 


A.   NEW    EDITION, 


WITH 


ADDITIONAL   TABLES. 


BUREAU   OF   NAVIGATION, 
NAVY    DEPARTMENT; 


WASHINGTON: 

GOVERNMENT    PRINTING    OFFICE 

1874. 


v'  ' 


NOTE. 

A  new  edition  of  the  Useful  Tables  from  Bowditch's  Navigator  having  been  called  for,  they 
have  been  reprinted,  together  with  Tables  VII,  IX,  XXXII,  and  XXXIII,  not  included  its 
the  former  editions. 

They  are  all  printed  from  the  original  stereotype  plates  of  the  Tables  to  which,  the  suc- 
ceeding explanations  apply. 

Corrections  have  been  made  in  the  plates  for  several  discovered  errors  in  the  Tables, 

BUREAU  OF  NAVIGATION, 

January  28,  1868. 


FN  MEMORIAM 


PREFACE 


The  following  explanations  relative  to  the  Tables  included  in  this  col- 
lection are  taken  from  the  Preface  by  the  late  Dr.  Bowditch  to  tfce  revised 
edition  (of  1837)  of  the  Practical  Navigator: 

Tables  I  and  II  were  calculated  by  the  natural  sines  taken  from  the 
fourth  edition  of  Sherwin's  Logarithms,  which  were  previously  examined, 
by  differences  ;  when  the  proof-sheets  of  the  first  edition  were  examined, 
the  numbers  were  again  calculated  by  the  natural  sines  in  the  second 
edition  of  Button's  Logarithms;  and  if  any  difference  was  found,  the 
numbers  were  calculated  a  third  time  by  Taylor's  Logarithms. 

Table  III  contains  the  meridional  parts  for  every  degree  and  minute  of 
the  quadrant,  calculated  by  the  following  rule,  viz : 

M  =  T  x  0.0007915704468, 

in  which  T  is  the  log.  tangent  less  radius  of  half  the  latitude,  increased 
by  45°,  taken  to  seven  places  of  figures,  reckoned  as  integers;  and  M  is 
the  meridional  parts  of  that  latitude  in  miles. 

Table  VII  contains  the  amplitudes  of  the  sun  for  various  latitudes  and 
decimations,  calculated  by  Taylor's  Logarithms,  by  this  rule: 

Log.  sec.  lat.  +  log.  sine  declination  -  10.0000000  =  log.  sine  amplitude. 

Table  IX  contains  the  time  of  the  sun's  rising  and  setting,  calculated 
by  Taylor's  Logarithms,  by  this  rale: 

Log.  cos.  hour  =  log.  tang,  declin.  -f- log  tang,  latitude  -  10.0000000. 

Table  X  contains  the  distances  at  which  any  object  is  visible  at  sen, 
calculated  by  the  rule  given  in  §  195  of  Yince's  Astronomy,  in  which  the 
terrestrial  refraction  is  noticed.  This  circumstance  was  neglected  by 
Robertson,  Moore,  and  others,  and,  of  course,  their  tables  are  erroneous. 
The  rule  given  by  Mr.  Vince,  expressed  in  logarithms,  is  this: 

0-12155  + half  log.  of  height  in  feet  =  log.  of  distance  in  statute  miles. 

In  reducing  the  rule  to  logarithms,  the  radius  of  the  earth  was  called 
20911790  feet,  which  agrees  nearly  with  the  mean  value  given  ID  1 
Lande's  Astronomy. 

Table  X  A  contains  the  parallax  in  altitude  of  a  planet. 

Table  XII  contains  the  refraction  of  the  heavenly  bodies,  calculated 
bv  Dr.  Bradley's  rule,  supposing  the  refraction  to  be  as  the  tangent  ( 
the  apparent  zenith  distance  of  the  object,  decreased  by  three  times 


IV  PREFACE. 

refraction,  the  horizontal  refraction  being  supposed  equal  to  38'.  The 
rule,  expressed  in  logarithms,  is  this : 

Log.  tang.  (app.  zen.  dist.  — 3.  refraction)— 8.2438£34  =  log.  of  ref.  in  sec. 

Tlie  numbers  calculated  by  this  rule  agree  nearly  with  those  published 
in  Table  I  of  Maskleyne's  Requisite  Tables. 

Table  XIII  contains  the  dip  of  the  horizon  for  various  heights,  calcu- 
lated by  the  rule  in  §  197  of  Vince's  Astronomy,  in  which  the  terrestrial 
refraction  is  allowed  for.  All  numbers  of  this  table  differ  a  little  from 
those  published  by  Dr.  Maskleyne,  who  had  made  a  different  allowance 
for  that  refraction.  The  rule  given  by  Mr.  Yince,  expressed  in  loga- 
rithms, is, 

1.7712711  -{-  half  the  log.  of  the  height  in  feet  =  log.  dip  in  seconds. 

Table  XIV  contains  the  sun's  parallax  in  altitude,  calculated  by  mul- 
tiplying the  natural  sine  of  the  apparent  zenith  distance  by  the  sun?s 
horizontal  parallax  8f".  The  numbers  in  this  table  agree  with  those 
published  by  Dr.  Maskleyne. 

Table  XV  contains  the 

Augmentation  of  the  moon's  semi-diameter  =  15".626  X  sine  })'s   altitude. 

This  table  agrees  nearly  with  that  published  by  Maskleyne. 

Table  XVI  contains  the  dip  for  various  distances  and  heights,  calcu- 
lated by  this  rule : 

D  =  |d  +  0.56514  X  hd, 

in  which  D  represents  the  dip  in  miles  or  minutes,  d  thev  distance  of  the 
land  in  sea  miles,  and  h  the  height  of  the  eye  of  the  observer  in  feet. 

Table  XXII,  for  turning  time  into  degrees,  is  the  same  as  in  other 
works  of  this  kind. 

Table  XXII contains  the  proportional  logarithms  for  three  hours.  The 
numbers  of  this  table  may  be  found  by  subtracting  the  logarithm  of  the 
time  in  seconds  from  the  log.  of  10800",  or,  which  is  the  same  thing,  by 
the  following  rule : 

Prop,  log.  T  =  4. 0334738  —  log.  of  T  in  seconds, 

neglecting  the  three  right-hand  figures  of  the  remainder. 

Table  XXIV  was  compared  with  Sherwin's  and  Mutton's  tables,  and 
a  few  errors  corrected. 

Table  XXV  contains  the  log.  sines,  log.  tangents,  etc.,  corresponding 
to  points  and  quarter  points  of  the  compass.  This  was  compared  with 
Sherwin's,  Hutton'sc  and  Taylor's  Logarithms. 

Plate  XXVI,  containing  the  common  logarithms  of  munbers,  was  com- 
pared with  Sherwin's,  Hutton's,  and  Taylor's  Logarithms. 

Table  XXV11  contains  the  common  log.  sines,  tangents,  secants,  etc. 
This  was  compared  with  Sherwin's,  Hutton's,  and  Taylor's  tables.  Two 


PREFACE.  V 

jiddilional  columns  are  given  in  tins  table,  which  are  very  coupon  Unit  in 
imding  the  time  from  an  altitude  of  the  sun ;  also,  three  columns  of  pro- 
portional parts  for  seconds  of  space ;  and  a  small  table  at  the  bottom  of 
each  page  for  finding  the  proportional  parts  for  seconds  of  time.  The 
degrees  are  marked  to  180°,  which  saves  the  trouble  of  subtracting  the 
given  angle  from  180°  when  it  exceeds  90°. 

Table  XXXII  contains  the  variation  of  the  altitude  of  any  heavenly 
body,  for  one  minute  of  time  from  noon,  for  various  degrees  of  latitude 
and  declination.  The  following  method  was  used  in  constructing  the 
table :  A  and  B  were  calculated  for  each  degree  of  declination  by  these 
formulas : 

Log.  A  =  log.  1". 08349  +  2  log.  cos.  declination  —  20.00000, 
Log.  H  =log.  A  -f  log.  tang,  decimation  — 10.00000; 

and  then  the  correction  of  the  table  corresponding  to  the  zenith  distance 
Z  (=  lat.  -f  dec.)  was  found  by  this  formula: 

OB 

A  X  cotang.  Z  ±  13. 

To  facilitate  the  computation  of  these  numbers,  a  table  of  the  products 
of  A  by  the  whole  numbers  from  1  to  9  was  calculated. 

Table  XXXIII  contains  the  squares  of  the  minutes  and  parts  of  a 
minute  of  time  corresponding  to  every  second  from  Os.  to  12m.  59s. 
This  require:1,  no  explanation. 

Table  LI.    To  change  mean  solar  time  into  sidereal  time. 

Table  LII.     To  change  sidereal  time  into  mean  solar  time. 

Table  on  page  76  of  the  text  contains  the  corrections  in  minutes,  to  be 
added  to  the  Middle  Latitude  to  obtain  the  correct  Middle  Latitude. 


REMAKES  OF  PROFESSOR  PEIROE. 


By  the  admirable  contrivance  of  logarithms,  the  name  of  their  in- 
ventor  was  raised  high  in  the  list  of  the  benefactors  of  his  race  and  the 
promoters  of  science.  All  the  numerical  calculations  in  the  higher 
departments  of  theoretical  and  practical  mathematics  are  performed  by 
their  aid,  and  the  success  of  the  computer  principally  depends  upon  the 
skill  and  precision  with  which  he  uses  his  logarithmic  tables.  It  is 
worthy  of  inquiry,  then,  whether  instruction  in  their  use  should  not  be 
more  common  in  the  schools ;  they  ought  to  be  studied  both  as  the  most 
remarkable  instrument  for  facilitating  calculations,  and  as  a  useful  means 
of  forming  the  mind  to  habits  of  accuracy.  Discretion  should  be  exer- 
cised in  the  choice  of  the  tables,  for,  if  ill-constructed  and  inaccurate, 
they  will  certainly  lead  to  awkward  and  slovenly  forms  of  calculation. 
They  should  be  well-proportioned  in  their  parts;  and,  if  of  small  extent, 
they  should  not  be  carried  beyond  five  places  of  decimals.  It  is  a  great 
mistake  to  carry  the  small  tables  to  six  or  seven  places  of  decimals; 
without  any  valuable  increase  of  accuracy,  they  are  thus  rendered  clumsy 
and  inconvenient.  Tables  of  seven  places  should  be  proportionally  ex- 
tensive, as  the  large  ones  of  Taylor;  while  those  of  six  places  are  of 
little  value — for  they  are  not  delicate  enough  for  the  higher  orders  of 
calculation,  and  are  not  needed  for  inferior  operations ;  but,  on  the  con- 
trary, the  disproportionate  labor  of  using  them  destroys  that  brevity  of 
computation  which  is  the  sole  recommendation  of  logarithms.  None  of 
the  smaller  tables  can  be  compared  in  accuracy  with  those  of  Dr.  Bow- 
ditch;  for,  besides  the  repeated  and  rigid  examinations  to  which  they 
have  been  subjected  by  the  author  and  his  sons,  they  have  been  so  long- 
in  common  use  that  110  important  error  can  have  escaped  detection.  Dr. 
Bowditch's  singular  practical  tact  is  also  exhibited  in  their  skilful  ar- 
rangement, of  which  they  are  models  deserving  careful  study.  Feeling 
the  want  of  such  a  set  of  tables  for  popular  use,  1  have  urged  upon  their 
proprietors  the  expediency  of  publishing  the  following  selection  from 
them,  which  will,  I  hope,  be  regarded  as  judiciously  made. 

This  may  not  be  thought  an  improper  occasion  to  press  upon  teachers 
the  inexpediency  of  forcing  the  youthful  intellect  to  a  premature  com- 
prehension of  abstruse  mathematical  reasoning,  at  the  expense  of  failing 
to  impart' familiarity  with  the  forms  of  calculation,  and  readiness  and 


VIII  REMARKS    OF    PROFESSOR    PEIRCE. 

accuracy  in  the  use  of  .figures,  at  the  flexible  age  when  the  seeds  of  habit 
most  readily  germinate.  Teach  the  lad  how  to  obtain  results,  and 
you  inspire  him  wii;h  the  surest  stimulus  to  investigate  and  apprehend 
the  nature  of  the  process.  Imbue  him  with  the  spirit  of  accuracy,  and 
you  give  him  a  taste  for  definite  and  precise  thought,  which  is  the  solid 
foundation  of  true  science,  and  one  of  the  best  antidotes  to  the  laxity  of 
reasoning  and  vagueness  of  research  with  which  the  atmosphere  of  the 
times  is  infected. 

BENJAMIN  PEIRCE, 
Perkins  Professor  of  Astronomy  and  Mafhematite, 

Harvard  University. 

CAMBRIDGE,  1849. 


TABLE  I.                                            "r^P 

Difference  of  Latitude  and  Departure  for  £  Point. 

N.JE.    ,                N.iW.                    S.|E.                     s.i\V. 

Dist.    Lat.     Dep. 

Dist. 

Lat. 

Dep. 

Dist.     Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Disl. 

Lat. 

Dep. 

I 

oi  .0 

00.0 

61 

60.9 

o3  i. 

121 

!20.9 

o5.9 

181 

180.8 

08.9 

24  1 

240  .  7 

u  .8 

2 

02  .0 

00.  I 

62 

61  .9 

o3.o 

22 

12..  9 

06.0 

82 

181.8 

08.9 

42 

2-1  I  -7 

1  1  .9 

3 

4 

6 

o3  ,o 
04.0 
o5.o 
on  .  o 

oo.  i 

00.2 
r'0  .  2 

oo.3 

63 
64 
65 
66 

62  ,  o 
63.  9 
64.9 
65.9 

o3li 
03.  a 

03.2 

23 
24 
25 
26 

122.9 
123.  9 

124.8 

125.8 

06,0 
06.  i 
06.1 
06.2 

83 

84 
85 
86 

182,8 
i83.8 
184.8 
i85.8 

(19  o 
09.0 
09.1 
09.1 

43 
44 
45 
46 

I  .\  i  .  1 

243  7 
244-7 
245.7 

M  9 

12.0 
12.0 
12.  1 

8 

07.0 
08.0 

oo.3 
00.4 

07 

68 

66.9 
67.9 

o3.3 
o3.3 

2,8 

126.8 
127.8 

06.2 
o6.3 

87 
88 

186.8 
187.8 

09.2 
09.2 

47 
48 

246.7 

247.7 

12.  I 

12.2 

9 

09.0 

00.4 

69 

68.9 

o3.4 

29 

128.8 

o6.3 

89 

188.8 

09.3 

4912.48.7 

12.2 

10 

10.  0 

oo.5 

70 

69.9 

o3.4 

3o  i  129.8 

06.4 

90 

189.8 

09.3 

5o 

249-7 

12.3 

n 

r  i  .0 

oo  .  5 

71 

70.9 

o3.5 

i3i 

i3o.8 

06.4 

191 

190.8 

09.4 

25l 

250.7 

12.3 

12 

12.0 

00.6 

72 

71.9 

o3.5 

32 

i3i.8 

o6.5 

92 

191  .8 

09.4 

52 

25l  .7 

12.4 

i3 

i3  .0 

00.6 

73 

72-9 

o3.6 

33 

i32.8 

o6.5 

93 

192.8 

09.5 

53 

252.7 

12.4 

i4 

[4.o 

00.7 

74 

73.9 

o3.6 

34 

1  33.8 

06.6 

94 

193.8 

09.5 

54 

253.  7 

12.5 

i5    i5.o 

00.7 

75 

74-9 

o3.7 

35 

1  34  .8 

06.6 

95 

194.8 

09.6 

55 

254.7 

12.5 

16 

16.0 

00.8 

76 

75-9 

o3.7 

36 

1  35.8 

06.7 

96 

195.8 

09.6 

56 

255.  7 

12.6 

i  - 

17.0 

00.8 

77 

76.9 

o3.8 

37 

i36.8 

06.7 

97 

196.8 

09.7 

5y 

2.56.7 

12.6 

18 

18.0 

00.9 

78 

77-9 

o3.8 

38 

i37.8 

06.8 

98 

.97.8 

09.7 

58 

257.7 

12.7 

'9 

19.0 

00.9 

79 

78.9 

03.9 

39 

1  38.8 

06.8 

99 

198.8 

09.8 

59 

258.  7 

12.7 

20 

20.  o 

01  .0 

80 

79-9 

03.9 

4o 

139.8 

06.9 

200 

199.8 

09.8 

60 

259.7 

12.8 

21 

21  .O 

01  .0 

81 

80.9 

04.0 

i4i 

i4o.8 

06.  9 

201 

200  .  8 

09.9 

261 

260  .  7 

12.8 

2.2 

22  .0 

01  .  I 

82 

81  .9 

o4-o 

42 

i4i.8 

07.0 

02 

2.01  .8 

09.9 

62 

261  .7 

12.9 

23 

23.0 

01  .  I 

83 

82.9 

04.  i 

43 

i4a.8 

07.0 

o3 

202.8 

IO.O 

63 

262.7 

12.9 

24 

24.0 

OI  .2 

84 

83.  9 

04.1 

44 

i43.8 

07.1 

o4 

2o3.8 

10.  0 

64 

263.  7 

i3.o 

25 

25.0 

OI  .2 

85 

84.9 

04.2 

45 

i44.8 

07.1 

o5 

204.8 

10.  I 

65 

264.7 

i3.o 

26 

26.0 

oi.3 

86 

85.  9 

04.2 

46 

i45.8 

07.2 

06 

2o5.8 

10.  I 

66 

265.  7 

i3.  i 

?7  1*7.0 

oi.3 

87 

86.9 

o4.3 

47 

146.8 

07.2 

07 

206.8 

10-2 

67 

266.7 

i3.  i 

28  i28-0 

01  .4 

88 

87.9 

o4.3 

48 

147.8 

07.3 

08 

207.7 

10.2 

68 

267.7 

i3.a 

29 

2.9.0 

01.4 

89 

88.9 

c4-4 

49 

i48.8 

o7.3 

09 

208.7 

io.3 

69 

268.7 

13.2 

3o 

3o.o    01  .5 

9° 

89-9 

o4-4 

5o 

1  49  .  8 

07.4 

10 

209.7 

io.3 

70 

?69.7 

13.2 

3i 

3  1  .0 

oi.5 

9' 

90.9 

o4  .  5 

i5i 

ID0.8 

07.4 

21  I 

210.7 

10.4 

271 

270.7    i3.3 

32  J32.0 

oi  .6 

92 

91  .9 

o4.5 

52 

i5i.8 

o7.5 

12 

211  .7 

10.4 

72 

271.7 

.-3.3 

33 

33.o 

oi  .6 

93 

92.9 

o4.6 

53 

i52.8 

07.5 

13 

212.7 

io.5 

73 

272.7 

i3.4 

34 

34.0 

oi  .7 

94 

93.9 

04.6 

54 

i53.8 

07.6 

i4 

ii3-7 

io.5 

74 

7.73.7 

.3.4 

35 

?«5.o 

01  .7 

95 

94.9 

o4-7 

55 

1  54.  8 

07.6 

1  5 

214.7 

io.5 

75 

274.7 

.3.5 

36 

36.  o 

oi  .8 

96 

95.9 

04.7 

56 

i55.8 

07.7 

1  6 

2i5.7 

10.6 

76 

275.7 

1  3  5 

37 

37.0 

oi  .8 

97 

96.9 

04.8 

57 

.i56.8 

07.7 

17 

216.7 

10.6 

77 

2.76.7 

i3.6 

38 

38.o 

oi  .9 

98 

97-9 

04.8 

58 

i57.8 

07.8 

18 

217.7 

10.7 

78 

277-7 

i3.6 

39 

39.0 

oi  .9 

99 

98.9 

04.9 

59 

1  58.8 

07.8 

'  '9 

218.7 

10.7 

79 

278.7 

i3.7 

4o 

4o  .  o 

02.  .0 

IOO 

99.9 

04.9 

60 

159.8 

07.9 

20 

219.7 

10.8 

80 

>79-7 

i3.7 

4i 

4  1  .0 

02  .0 

IOI 

100.9 

o5.o 

161 

160.8 

07.9 

221 

220.7 

10.8 

2.8  I 

380.7 

i3.8 

42. 

41.9 

05.  I 

02 

IOI  .9 

o5.o 

62 

161.8 

07.9 

22 

221.7 

10.9 

82 

281.  7 

i3.8 

43 

42.9 

02.  I 

o3 

102.9 

o5.i 

63 

162.8 

08.0 

23 

222.7 

10.9 

83 

282.7 

,3.9 

44 

43.9 

02.  .  2 

o4 

i  o3  .  9 

o5.i 

64 

1  63.8 

08.0 

24 

223.7 

I  1  .0 

84 

2.83.7 

i3.9 

45 
46 

44.9 
45.9 

02  .2 
02.3 

o5 
06 

1  04  .  9 

K)5.Q 

05.2 

o5.a 

65 

66 

1  64.  8 

i65.8 

08.  i 
08.  i 

25 
26 

224.  7 

225  .7 

II  .0 

1  1  .  1 

85 
86 

284.7 
285.7 

14.0 

47 

46.0 

02.3 

07 

106.9 

o5.3 

67 

166.8 

08.2 

27 

226.7 

II  .  I 

87 

786.7 

14.1 

48 

47-9 

O2  .4 

08 

107.9 

o5.3 

68 

167.8 

08.2 

28 

227.7 

I  I  .2 

88 

287.7 

14.1 

49 
5o 

48.9 
49.9 

02.4 
02.5 

09 
10 

108.9 
I  OQ  .  9 

o5.3 

o5.4 

69 
70 

,68.8 
.69.8 

o8.3 
o8.3 

3o 

228.7 

229.7 

11.2 

ii.  3 

89 
9° 

1-89.7 

14.2 
14.2 

"5  1 

5o.9 

02.5 

1  1  1 

I  10-9 

o5.4 

I7I 

170.8 

08.4 

23l 

23o.7 

ii.  3 

291 

,90.6 

i4-3 

59 

51.9 

02.6 

12 

III-9 

o5.5 

72 

171.8 

08.4 

32 

a3i.7 

ii.  4 

92 

s>9i  .6 

i4-3 

53 

54 
55 
56 
57 
58 

59 
60 

52.9 

54*9 
55.9 
56.9 

57-9 
|58.9 
59.9 

02.6 
02.6 

02  .7 

02.8 
02.8 

02.9 

02  .9 

i3 
i4 
i5 
16 

17 
18 

'9 
20 

1  1  3  .  9 
114.9 

1  16.9 
1  17.9 
118.9 
119.9 

o5.5 
o5.6 
o5.6 
o5.7 

o5.7 

o5.8 
o5.8 
o5.9 

73 
7r 
76 

77 
78 

E 

172.8 
173.8 

174.8 
i75.8 
1  76  .  8 
177.8 
178.8 
179.8 

o8.5 
o8.5 
08.6 
38.6 

08.7 
08.7 
08.8 
08.8 

33 
34 
35 
36 

3-7 

38 
39 
4o 

232.7 
233.7 
234.7 
235.7 
236.7 
237-7 
238.7 
239.7 

ii.  4 
n.  5 
ii.  5 
11.6 
n.6 
n.  7 
11,7 
11.8 

0 

97 
98 

99 
3oo 

'.'.92  .  6 
293.6 
294.6 
295.6 
296.6 
297.6 
298.6 

.4.4 
i4-4 

i4-5 
i4.5 
i4.6 

Jill. 

Dist. 

Pop. 

Lat. 

Hist. 

Dep. 

Lat. 

Dist. 

Pop.      LJII. 

Dist. 

Oep. 

Lat. 

Dist. 

Pop-      laL 

E.  4N.                     E..iS. 

W   JN.                      W..JS.              [for  /:j  romlfr. 

rages]                                              TABLE  1. 

Difference  of  Latitude  and  Departure  for  £  Point. 

N.JE.                  JN.iW.                    S.^E.                    S.£W. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Disl. 

Lat 

Dep. 

Dist. 

Lat. 

Dep. 

Dist.j    Lat. 

Dep. 

I 

01  .O 

OO.I 

61 

60.7 

06.0 

121 

120.4 

11.9 

181 

180. 

ll-7 

241    239.8 

23.6 

2 

02.0 

OO.2 

62 

61.7 

06.  i 

22 

121  .4 

12.  0 

82 

i8x. 

17.8 

42 

240  .  8 

23-7 

3 

o3.o 

oo.3 

63 

62.7 

06.2 

23 

122.4 

12.  I 

83 

182. 

17.9 

43 

241.8 

23.8 

4 

o4.o 

00.4 

64 

63.7 

o6.3 

24 

123.4 

12.2 

84 

i83. 

18.0 

44 

242.8 

23.9 

5 

06.0 

oo.5 

65 

64-7 

o6.4 

25 

124.4 

12.3 

85 

184. 

18.1 

45 

240.8 

24.0 

6 

06.0 

00.6 

66 

65.7 

o6.5 

26 

125.4 

12.4 

86 

1  85. 

18.2 

46 

244.8 

24.1 

7 

07.0 

00.7 

67 

66.7 

06.6 

27 

126.4 

12.4 

87 

1  86. 

i8.3 

47 

245.8 

24.2 

8 

08.0 

00.8 

68 

67.7 

06.7 

28 

127.4 

12.5 

88 

18-. 

18.4 

48 

246.8 

24.3 

9 

09.0 

00.9 

69 

68.7 

06.8 

29 

128.4 

12.6 

89 

1  88. 

i8.5 

49 

247.8 

24-4 

10 

10.  0 

or  .0 

70 

69/7_ 

06.9 

3o 

129.4 

12.7 

9° 

189. 

18.6 

5o 

248.8 

24.6 

ii 

10.9 

OI     I 

7i 

70.7 

07.0 

i3i 

i3o.4 

12.8 

191 

190. 

l8~T 

25l 

T4o~8~ 

24.6 

12 

11.9 

01  .2 

72 

71.7 

07.1 

32 

i3i.4 

12.9 

92 

191. 

18.8 

62 

260  8 

24.7 

i3 

12.9 

oi.3 

73 

72.6 

07.2 

33 

i32.4 

i3.o 

93 

192 

18.9 

53 

261.8 

24.8 

M 

1-3:9 

01  .4 

74 

73.6 

07.3 

34 

i33.4 

i3.i 

94 

193. 

19.0 

54 

262.8 

24.9 

i5 

14.9 

oi.5 

75 

74-6 

07.4 

35 

i34.3 

13.2 

95 

i94. 

19.1 

55 

253.8 

26.0 

16 

15.9 

01  .6 

76 

75.6 

07.4 

36 

i35.3 

i3.3 

96 

19?: 

19.2 

56 

254.8 

26.1 

i? 

16.9 

01.7 

77 

76.6 

07.5 

37 

i36.3 

i3.4 

97 

196. 

i9.3 

67 

266.8 

25.2 

18 

17.9 

01.8 

78 

77.6 

07.6 

38 

i37.3 

i3.5 

98 

197.0 

19.4 

58 

266.8 

25.3 

19 

18.9 

01  .9 

79 

78.6 

07.7 

39 

i38.3 

i3.6 

99 

198.0 

19.6 

59 

267.8 

26.4 

20 

19.9 

02  .0 

80. 

79.6 

07.8 

4o 

i39.3 

i3.7 

200 

199.0 

19.6 

60 

268.7 

25.5 

21 

20.9 

02  .  1 

81 

80.6 

07.9 

i4i 

i4o.3 

i3.8 

201 

200.  o 

19.7 

261 

269.7 

26.6 

22 

21  .9 

O2  .2 

82 

81.6 

08.0 

42 

i4i.3 

i3.9 

02 

201  .0 

19.8 

62 

260.7 

25.7 

23 

22.9 

02.3 

83 

82.6 

08.  i 

43 

142.3 

14.0 

03 

202.0 

J9-9 

63 

261  .7 

26.8 

24 

23.9 

02.4 

84 

83.6 

08.2 

44 

i43.3 

14.1 

o4 

203.0 

20.0 

64 

262.7 

26.9 

25 

24-9 

02.5 

85 

84.6 

o8.3 

45 

i44.3 

14.2 

o5 

204.0 

20.1 

65 

263.7 

26.0 

26 

26.9 

02.5 

86 

85.6 

o8.4 

46 

i45.3 

i4.3 

06 

206  .  o 

20.2 

66 

264.7 

26.1 

27 

26.9 

02.  .6 

87 

86.6 

o8.5 

47 

i46.3 

i4.4 

07 

206.0 

20.3 

67 

266.7 

26.2 

28 

27.9 

02.7 

88 

87.6 

08.6 

48 

i47.3 

i4.5 

08 

207  .  o 

20.4 

68 

266.7 

26.3 

29 

28.9 

02.8 

89 

88.6 

08.7 

49 

i48.3 

14.6 

09 

208  .  o 

ic  5 

69 

267.7 

26.4 

3o 

29.9 

02.9 

_92. 

89.6 

08.8 

5o 

i49.3 

14.7 

IO 

209.0 

20.6 

TO 

268.7 

26.6 

3i 

3o.9 

o3.o 

91 

90.6 

08.9 

i5i 

i5oTT 

i4-8 

211 

210.0 

20.7 

271 

269.7 

26.6 

32 

3i.8 

o3.i 

92 

91  .6 

09.0 

52 

i5i.3 

14.9 

12 

211  .O 

20.8 

72 

270.  7 

26.7 

33.32.8 

03.2 

93 

92.6 

09.1 

53 

i5a.3 

16.0 

i3 

2  12  .  0 

20.9 

73 

271.7 

26.8 

34 

33.8 

o3.3 

94 

93.5 

09.2 

54 

i53.3 

i5.i 

i4 

2l3.O 

21  .0 

74 

272.7 

26.9 

35 

34.8 

o3.4 

95 

94.5 

09.3 

55 

i54.3 

15.2 

i5 

214.0 

21  .  1 

75 

273.7 

27.0 

36 

35.8 

o3.5 

96 

95.5 

09.4 

56 

i55.2 

i5.3 

16 

2t5.0 

21.2 

76 

274-7 

27.1 

37 

36.8 

o3.6 

97 

96.5 

09.5 

57 

i56.2 

i5.4 

17 

216.0 

21.3 

77 

276.7 

27.2 

38 

37.8 

o3.7 

98 

97-5 

09.6 

58 

167.2 

i5.5 

18 

217.0 

21.4 

78 

276.7 

27.2 

39 

38.8 

o3.8 

99 

98.5 

09.7* 

59 

i58.2 

i5.6 

19 

217.9 

21.5 

79 

277.7 

27.3 

4o 

39.8 

03.9 

100 

99-5 

09  .  8 

60 

If.9.2 

i5.7 

20 

218.9 

21.6 

80 

278.7 

27-4 

4i 

4o.8 

04.0 

1  01 

loo.S 

09.9 

161 

160.2 

i5.8 

221 

219.9 

21.7 

281 

279.6 

27.5 

42 

4i.8 

04.1 

02 

101  .5 

10.  0 

62 

161  .2 

16.9 

22 

220.9 

21.8 

82 

280.6 

27.6 

43 

42.8 

04.2 

o3 

102  .5 

10.  I 

63 

162.2 

16.0 

23 

221.9 

21.9 

83 

281.6 

27.7 

44 

43.8 

o4.3 

04 

io3.5 

10.2 

64 

i63.2 

16.1 

24 

222.9 

22.0 

84 

282.6 

27.8 

45 

44.8 

c>4-4 

o5 

io4.5 

io.3 

65 

164.2 

16.2 

25 

223.9 

22.1 

85 

283.6 

27-9 

46 

45.8 

04.5 

06 

io5.5 

10.4 

66 

166.2 

i6.3 

26 

224.9 

22.2 

86 

284.6 

28.0 

4? 

46.8 

04.6 

07 

io6.5 

io.5 

67 

166.2 

16.4 

27 

226.9 

22.2 

87 

286.6 

28.1 

48 

47-8 

04.7 

08 

107.5 

10.6 

68 

167.2 

i6.5 

28 

226.9 

22.3 

88 

286.6 

28.2 

49 

48.8 

04.8 

09 

io8.5 

10.7 

69 

168.2 

16.6 

29 

227.91  22-4 

89 

287.6   28.3 

5o 

4<;.8 

04.9 

IO 

1  09  .  5 

10.8 

70 

169.2 

16.7 

3o 

228.9 

22.5 

9° 

288.  6  :  28.  4 

5T 

5".  8 

o5.o 

II  I 

i  io.5 

10.9 

171 

170.2 

16.8 

23l 

229.9 

22.6 

291 

289.6 

28.6 

62 

5,   .7 

o5.  i 

12 

ni.5 

1  I  .0 

72 

171.2 

16.9 

32 

23o.9 

22.7 

92 

290.6 

?8.6  ! 

53 

52.7 

05.2 

i3 

112.  5 

ii  .  i 

73 

172.2 

17.0 

33 

a3i.9 

22.8 

93 

291  .6 

28.7 

54 

53  7 

o5.3 

i4 

u3.5 

II  .2 

74 

173.2 

17.1 

34 

-^2.9 

22.9 

94 

292.6 

28.*: 

55 

5/i  7   o5.4 

i5 

n4.4 

ii.  3 

75 

174.2 

17.2 

35 

233.9 

23.  D 

95 

293.6 

28.9 

56 

55  7  o5.5 

16 

u5.4 

ii.  4 

76 

176.2 

i7.3 

36 

234.9 

23.1 

96 

294.6 

29.0 

57 

56  7Jo5.6 

17 

116.4 

ii.  5 

77 

176.1 

i7.3 

37 

235.9 

23.2 

97 

296.6 

29.1 

58 

57  7 

o5.7 

18 

117-4 

ii.  6 

78 

177.1 

17-4 

38 

2.36.9 

23    3 

98 

296.6 

29.2 

59 

58  7 

o5.8 

*9 

,18.4 

n  .7 

79 

178.1 

I7.5 

39 

237.8 

?3.4 

99 

297.6 

29.3 

60  i59.7 

06.9 

20 

119.4 

ii.  8 

80 

179.1 

17.6 

4o 

238.8 

23.5 

3oo 

298.6 

29.4 

Di-t.    D<M». 

Lat. 

Hist. 

Dep. 

Lat. 

Dist. 

Dep 

Lat. 

Dist. 

Dep. 

Lat. 

Dist, 

Dep. 

Lat. 

fc.  £  N.                     E.  £  S.                     W.  £  N.                    W.  £  S.             [For  7£  Points. 

TABLE    I.                                                                 [Page  3 

Difference  of  Latitude  and  Departure  for  £  Point. 

N.^E 

N.|W.                     S.|E.                       S.|W. 

Dist. 

Lat. 

Dep. 

Dist.     Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat.   1  Deo. 

2 

3 

4 

01  .0 
02.  0 

o3.o 
04.0 

OO.  I 

oo.3 
00.4 
00.6 

61 
62 
63 

64 

00.3 
6i.3 
62.3 
63.3 

09.0 
09.1 
09.2 
09.4 

121 
22 
23 

24 

119.7 

I20.7 
121.  7 
122.  7 

17.8 

17-9 
18.0 
18.2 

181 
82 
83 
84 

179.0 
180.0 
181.0 
182.0 

26.6 
26.7 
26.9 

27.0 

24  1 
42 
43 
44 

238.4 
239.4 

2.40.4 

35.4 
35.5 
35.7 
35  8 

5 
6 

04.9 
05.9 

oo.7 
00.9 

65 
66 

64.3 
65.3 

09.5 
09.7 

25 

26 

123.6 

124.6 

i8.3 
i8.5 

85    i83.o 
8fi    184.0 

27.1 

27.3 

45 

46 

242.3 
243.3 

35.9 
36.T 

7 

06.9 

01  .0 

67 

66.3 

09.8 

27 

125.6 

18.6 

87    186  o 

27.4 

47 

244.3 

36.2 

8 
9 

0-7.9 
08.9 

01  .2 

oi.3 

68 
69 

68^3 

10.  0 
10.  I 

28 
29 

126.6 

I27.6 

18.8 
18.9 

88 
89 

186  o 
187.0 

27.6 

27.7 

48 
4o 

245.3 
246.3 

36.4 
36.5 

10 

09.9 

oi.5 

70 

69.2 

io.3 

3o 

128.6 

19.1 

90 

187.9 

27.9 

5o 

247.3 

36.7 

ii 

10.9 

01.6 

7i 

70.2 

10.4 

i3i 

129.6 

19.2 

191 

188.9 

28.0 

25  1 

248.3 

36.8 

12 

i3 

11.9 
12.9 

01.8 
01  .9 

72 
73 

71.2 
72.2 

10.6 
10.7 

32 

33 

i3o.6 
i3i.6 

19.4 
19-5 

91 
o3 

189.9 
190.9 

28.2 
28.3 

52 

53 

249.3 
25o.3 

37.o 
37.i 

14 

i3.8 

02.1 

74 

73.2 

10.9 

34 

i32.5 

19.  7 

94 

191.9 

28.5 

54 

25i.3 

37.3 

ib 

14.8 

02.2 

75 

74-2 

11  .0 

35 

i33.5 

19.8 

95 

192.9 

28.6 

55 

252.2 

37.4 

ib 

16.8 

02.3 

76 

7D.2 

11  .2 

36 

i34.5 

20.0 

96 

193.9 

28.8 

56 

253.2 

37.6 

17 

ib.8 

02.5 

77 

76.2 

ii.  3 

37 

i35.5 

20.  I 

97 

194.9 

28.9 

57 

254-2 

37.7 

18 

17.8 

02.6 

78 

77.2 

ii.  4 

38 

i36.5 

20.2 

98 

195.9 

29.1 

58 

255.2 

19 

18.8 

02.8 

Z9 

78.1 

ii.  6 

39 

i37.5 

20.4 

99 

196.8 

29.2 

59 

256.2 

38.o 

20 

19.8 

02.9 

80 

79.1 

11.7 

4o 

i38.5 

20.5 

200 

197.8 

29.3 

60 

257.2 

38.i 

21 

20.8 

o3.i 

81 

80.  I 

11.9 

i4i 

139.6 

20.7 

201 

198.8 

29.5 

261 

258.2 

38.3 

22 

21.8 

03.2 

82 

81.1 

12.0 

42 

i4o.5 

20.8 

02 

199.8 

29.6 

62 

269.2 

38.4 

23 

22.8 

o3.4 

83 

82. 

12.2 

43 

i4i.5 

21  .0 

03 

200.8 

29.8 

63 

260.2 

38.6 

24 

23.  7 

o3.5 

84 

83. 

12.3 

44 

142.4 

21  .1 

o4 

201.8 

29-9 

64 

261  .  1 

38.7 

2D 

24-  7 

03.7 

85 

84. 

12.5 

45 

i43.4 

21.3 

o5 

202.8 

3o.i 

65 

262.1 

38.  9 

26 

25.7 

o3.8 

86 

85. 

12.6 

46 

i44-4 

21.4 

06 

2o3.8 

30.2 

66 

263.1 

39.o 

27 

26.7 

04.0 

87 

86. 

12.8 

47 

i45.4 

21  .0 

07 

204.8 

3o-4 

67 

264.1 

39.2 

28 

27-  7 

04.  i 

88 

87.0 

12.9 

48 

M6.4 

21.7 

08 

205.7 

3o.5 

68 

265  .  i 

39.3 

29 

28.7 

04.  3 

89 

88.0 

49 

i47-4 

21.9 

09 

206.7 

3o.7 

69 

266.1 

3o.5 

3o 

29.7 

o4-4 

90 

89.0 

13.2 

5o 

i48.4 

22.0 

IO 

207.7 

3o.8 

70 

267.1 

39  6 

3i 

3o  i 

o4.5 

91 

90.0 

i3.4 

i5i 

149.4 

22.2 

211 

208.7 

3i.o 

271 

268.1 

39.8 

32 

3i.7 

04.7 

92 

91  .0 

i3.5 

52 

160.4 

22.3 

12 

209.7 

3i  .1 

72 

269.1 

39.9 

33 

32.6 

04.8 

93 

92.0 

i3.6 

53 

i5i.3 

22.4 

i3 

210.7 

3i.3 

73 

270.0 

4o.: 

34 

33.6 

o5.o 

94 

93.o 

i3.8 

54 

162.3 

22.6 

i4 

211  .7 

3-1.4 

74 

27I  .0 

40.2 

35 

34.6 

o5.i 

95 

94.0 

i3.9 

55 

i53.3 

22.7 

i5 

212.7 

3i.5 

75 

272.0 

4o.4 

36 

35.6 

o5.3 

96 

95.o 

56 

i54.3 

22.9 

16 

213.7 

3i.7 

76 

273.O 

4o.5 

37 

36.6 

o5.4 

97 

96.0 

14.2 

57 

i55.3 

23.0 

17 

214.7 

3i.8 

77 

274.0 

4o.6 

-  38 

37.6 

o5.6 

98 

96.9 

i4.4 

58 

i56.3 

23.2 

18 

216.6 

32.0 

78 

275.0 

4o.8 

39 

38.6 

05.7 

99 

97-9 

i4.5 

59 

167.3 

23.3 

19 

216.6 

32.1 

79 

276.0 

4o.9 

4o 

39.6 

05.9 

IOO 

98.9 

14.7 

60 

1  58.  3 

23.5 

20 

2I7.6 

32.3 

80 

277.0 

4i  .1 

4i 

4o.6 

06.0 

101 

99-9 

i4.8 

161 

169.3 

23.6 

221 

218.6 

32.4 

281 

278.0 

4i.a 

42 

4i  .5 

06.2 

02 

100.9 

i5.o 

62 

160.2 

23.8 

22 

219.6 

32.6 

8-2 

278.9 

4i.4 

43 

42.5 

o6.3 

o3 

101  .9 

63 

161  .2 

23.9 

23 

22O.6 

32.7 

83 

279.9 

4i.5 

44 

43.5 

o6.5 

04 

102.9 

i5.3 

64 

162.2 

24.  r 

24 

221  .6 

32.9 

84 

280.9 

4i-7 

45 

44.5 

06.6 

o5 

103.9 

i5.4 

65 

i63.2 

24.2 

25 

222  .6 

33.o 

85 

281.9 

4i.8 

46 

45,5 

06,7 

06 

104.9 

i5.6 

66 

164.2 

24.4 

26 

223.6 

33.2 

86 

282.91 

42.0 

4? 

46.5 

47.5 

06.9 

O7.O 

07 
08 

106.8 
106.8 

i5.7 
i5.8 

67 
68 

166.2 
166.2 

24.5 

24-  7 

27 
28 

224.5 
225.5 

33.3 
33.5 

87 
88 

283.9 

284.9 

42.1 
42.3 

5o 

48.5 
49-5 

07.2 

o7.3 

09 

10 

107.8 
108.8 

16.0 
16.  i 

69 

7o 

167.2 
168.2 

24.8 
24.9 

?9 

3o 

226.5 
227.5 

33.6 
33.7 

89 
9° 

285.9 
286.9 

42.4 
42.6 

61 

5o.4 

07.5 

in 

109.8 

i6.3 

i7i 

169.1 

2.5.1 

23l 

228.5 

33.9 

291 

287.9 

42.7 

52 

53 
54 
55 
56 

57 
58 

5i.4 
52.4 
53.4 
54.4 
55.4 
56.4 
57.4 
58.4 
59-4 

o7.6 
o7.8 
o7.9 
08.  i 
08.2 
08.4 
o8.5 
08.  7 
08.8 

12 

i3 
i4 

i5 
16 

17 
18 

20 

no.  8 
in.  8 

112.  8 

ii3.8 

114.7 
1167 

Il6.7 

117.7 
118.7 

16.4 
16.6 
16.7 
16.9 
17.0 
17.2 
i7.3 
i7.5 
17.6 

72 
73 
74 
75 
76 
77 
78 

79 
80 

170.1 
171.1 
172.1 
i73.i 

\775.\ 
176.1 

177.1 

178.1 

25.2 

25.4 
25.5 
25.7 
25.8 
26.0 
26.1 
26.3 
26.4 

32 

33 
34 
35 
36 

37 
38 
3o 
4o 

229.5 

23o.5 
23i.5 

232.5 

233.4 
2.34.4 
2,35.4 
236.4 
237.4 

34.0 
34.2 
34.3 
34.5 
34.6 
34.8 
34  9 
35.i 
35.2 

93 
94 

95 
96 

97 
98 

99 
3oo 

288.8 
289.8 
290.8 
291.8 

292.8 

293.8 

294.8 
295.8 

296.8 

42.8 
43.o 
43.i 
43.3 
43.4 
43.6 
43.7 
43.9 
44-0 

Dist 

Dep. 

~LatT 

Dist 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep.     Lat. 

E.^N.                    E.|S. 

W.|  N.                    W.|  8.              [For  7^  Foints 

rage  4]                                                                       TABLE     1. 

Difference  of  Latitude  and  Departure  for  1  Point. 

N  byE.                       N.by  W.                       S.byE.                      S.by  W. 

Dist.    Lat. 

Dep. 

Dist. 

Lat.    |  Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

I  1  01  .0 

00.2 

61 

59.8 

11.9 

121 

118.7 

23.6 

181 

I77.5 

35.3 

•241 

236.4 

47.0  i 

2  j  02.0 

OO.4 

62 

60.8 

12.  I 

22 

119.7 

23.8 

82 

X78.5 

35.5 

42 

23?-4 

47-2 

3 

02  9 

OO,6 

63 

61  8 

12.3 

23 

120.6 

M  •  o 

83 

179.0 

35.  7 

43 

238^3 

47-4 

4 

03.9  00.8 

64 

62.8 

12.5 

24 

121  .6 

24.2 

84 

i8o.5 

35.9 

44 

239.3 

47-6 

5 

04.9 

01  .0 

65 

63.8 

12.  7 

25 

122.6 

24.4 

85 

181.4 

36.  i 

45 

240.3 

47-8 

6 

05.9 

01  .2 

66 

64-7 

12.9 

26 

123.6 

24.6 

86 

182.4 

36.3 

46 

241.3 

48.0 

7 

06.9 

01  .4 

67 

65.7 

27 

124.6 

24.8 

87 

i83.4 

36.5 

47 

242.3 

48.2 

8 

07.8 

oi  .6 

68 

66.7 

i3'.3 

28 

125.5 

25.0 

88 

184.4 

36.  7 

48 

243.2 

48.4 

9 

08.8 

01.8 

69 

67.7 

i3.5 

29 

126.5 

25.2 

89 

i85.4 

36.9 

49 

244.2 

48.6 

10 

09.8 

02  .0 

70 

68.  7 

i3.7 

3o 

127.5 

25.4 

9° 

i86.3 

37.i 

5o 

245.2 

48.8 

ii 

10.8 

02  .  I 

71 

69.6 

i3.9 

i3i 

128.5 

25.6 

191 

18-.  3 

37.3 

25  I 

2.46.2 

49.0 

12 

n.  8 

02.3 

72 

7o.6 

14.0 

32 

129.5 

25.8 

92 

1  88.  3 

37.5 

52 

247.2 

49.2 

i3 

12.8 

02.5 

73 

7i.6 

14.2 

33 

i3o.4 

25.9 

93 

189.3 

37.7 

53 

248. 

49.4 

M 

i3.7 

02.7 

74 

72.6 

i4.4 

34 

i3i.4 

26.1 

94 

190.3 

37.8 

54 

249. 

49.6 

i5 

14.7 

02.9 

75 

73.6 

14.6 

35 

i32.4 

26.3 

95 

191  .3 

38.o 

55 

250. 

49-7 

16 

i5.7 

o3.i 

76 

74.5 

i4.8 

36 

i33.4 

26.5 

96 

192.2 

38.2 

56 

25l. 

49.9 

17 

16.7 

o3.3 

77 

75.5 

i5.o 

37 

i34-4 

26.7 

97 

193.2 

38.4 

57 

252. 

5o.T 

18 

17-7 

o3.5 

78 

76.5 

15.2 

38 

i35.3 

26.9 

98 

194.2 

38  6 

58 

253.0 

5o.3 

i9 

18.6 

o3.7 

79 

77-5 

i5.4 

39 

i36.3 

27.1 

99 

I95.2 

38.8 

59 

254.0 

5o.5 

so 

19.6 

o3.9 

80 

78.5 

i5.6 

4o 

i37.3 

27.3 

200 

196.2 

39.0 

60 

255.0 

5o.7 

21 

20.6 

04.  i 

81 

79-4 

i5.8 

i4i 

i38.3 

27.5 

2OI 

197. 

39.2 

261 

256.0 

5o.9 

2-2 

21.6 

o4.3 

82 

80.4 

16.0 

42 

139.3 

27.7 

O2 

198. 

39.4 

62 

257.0 

23 

22.6 

o4.5 

83 

81.4 

16.2 

43 

i4o.3 

27.9 

o3 

199. 

39.6 

63 

257.9 

5i!3 

24 

23.5 

o4.7 

84 

82.4 

16.4 

44 

i4i  .2 

28.1 

o4 

200. 

39.8 

64 

258.  9 

ST.  5 

25 

24.5 

04.9 

85 

83.4 

16.6 

45 

142.2 

28.3 

o5 

201  . 

4o.o 

65 

259.9 

5i.7 

26 

25.5 

o5.i 

65 

84.3 

16.8 

46 

143.2 

28.5 

06 

2O2  .O 

40.2 

66 

260  .  9 

5i.9 

27 

26  5 

o5.3 

87 

85.3 

17.0 

47 

144.2 

28.  7 

07 

203.0 

4o.4 

67 

261  .9 

52.1 

28 

27.5 

o5.5 

88 

86.3 

17.2 

48 

145.2 

28.9 

08 

204.0 

4o.6 

68 

262.0 

52.3 

29 

28.4 

o5.7 

89 

87.3 

i7.4 

49 

146. 

29.1 

09 

2o5.o 

4o.8 

69 

263.8 

52.5 

3o 

29.4 

05.9 

90 

88.3 

i7.6 

5o 

i47-  • 

29.3 

10 

206.0 

4  1  "o 

70 

264.8 

52.7 

3  1    3o.4 

06.0 

91 

89.3 

17.8 

i5i 

1  48. 

~29.5 

211 

206.9 

4l.2 

271 

265.8 

52.9 

32 

3i.4 

06.2 

92 

00.2 

17-9 

52 

149. 

29.7 

12 

207.9 

4i-4 

72 

266.8 

53.i 

33 

32.4 

06.4 

93 

91  .2 

18.1 

53 

i5o. 

29.8 

13 

208.9 

4i.6 

73 

267.8 

53.3 

34 

33.3 

06.6 

94 

92  .2 

i8.3 

54 

i5i  .0 

3o.o 

i4 

209.9 

4i.7 

74 

268.7 

53.5 

35 

34.3 

06.8 

95 

93.2 

i8.5 

55 

l52.0 

30.2 

i5 

21O.9 

41.9 

75 

269.7 

53.6 

36 

35.3 

07.0 

96 

94-2 

18.7 

56 

i53.o 

3o.4 

16 

211.8 

42.1 

76 

270.7 

53.8 

37 

36.3 

07.2 

97 

95.1 

18.9 

57 

i54.o 

3o.6 

17 

212.8 

42.3 

77 

271.7 

54.o 

38 

37.3 

07.4 

98 

96.1 

19.1 

58 

i55.o 

3o.8 

18 

2i3.8 

42.5 

78 

272.7 

54.2 

39 

38.3 

o7.6 

99 

97-1 

I9-.3 

59 

i55.9 

3i.o 

'9 

214.8 

42.  7 

79 

273.6 

54-4 

4o 

39.2 

o7.8 

100 

98.1 

19-5 

60 

1  56.  9 

3l.2 

20 

2i5.8 

42.9 

80 

274.6 

54.6 

4i 

40.2 

08.0 

101 

99-1 

19.7 

767 

167.9 

3i.4 

221 

2i6.8 

43.i 

281 

275  6 

54.8 

42 

41.2 

08.2 

02 

100.  0 

19.9 

62 

i58.9 

3i.6 

22 

217.7 

43.3 

82 

276.6 

55.o 

43 

42.2 

08.4 

o3 

101  .0 

20.  i 

63 

159.9 

3i.8 

23 

218.7 

43.5 

83 

277.6 

55.2 

44 

43.2 

08.6 

o4 

T02..0 

20.3 

64 

160.8 

32.0 

24 

219.7 

43.7 

84 

278.5 

55.4 

45   44. 

08.8 

o5 

io3.o 

20.5 

65 

161.8 

32.2 

25 

220.  7 

43.9 

85 

279.5 

55.6 

46 

45. 

09.0 

06 

104.0 

20.  7 

66 

162.8 

32.4 

26 

221  .7 

44.1 

86 

280.5 

55.8 

47 

46. 

09.2 

07 

104.9 

20.9 

67 

i63.8 

32.6 

27 

222.6 

44.3 

87 

281.5 

56.o 

48 

47- 

09.4 

08 

105.9 

21  .  1 

68 

164.8 

32.8 

28 

223.6 

44.5 

88 

282.5 

56.2 

49 

48. 

09.6 

°9 

I06.Q 

21.3 

69 

i65.8 

33.o 

29 

224-6 

44.7 

89 

283.4 

56.4 

5o 

49.0 

09.8 

10 

10-7.9 

21.5 

70 

166.7 

33.2 

3o 

225.6 

44-9 

9° 

284-4 

56.6 

5i 

Ko.o 

09.9 

ii  i 

108.9 

21.  7 

1-71 

167.7 

33.4 

23l 

226.6 

45.i 

291 

285,4 

56.8 

52 

'j\  .0 

10.  I 

12 

109.8 

21.9 

72 

168.7 

33.6 

32 

227.5 

45.3 

92 

286.4 

57.o 

53 

52.0 

io.3 

i3 

110.8 

22.0 

73 

169.7 

33.8 

33 

228.5 

45.5 

93 

287.4 

57.2 

54 

53.o 

io.5 

i4 

in.  8 

22.2 

74 

1  70  .  7 

33.9 

34 

229.5 

45.7 

94 

288.4 

57.4 

55    53.9 

10  7 

i5 

112.  8 

22.4 

75 

171  .6 

34.i 

35 

23o.5 

45.8 

95 

289.3 

57.6 

56 

54-9 

10.9 

16 

ii3.8 

22.6 

76 

172.6 

34.3 

36 

23i.5 

46.o 

96 

290.3 

57-7 

57 

55.9 

ii  .1 

17 

114.8 

22.8 

77 

173.6 

34.5 

37 

232.4 

46.2 

97 

291.3 

57.9 

58 

56.9 

ii.  3 

18 

1  1  6.7 

23.0 

78 

174-6 

34-7 

38 

233.4 

46.4 

98 

292.3 

58.i 

59 

57  9 

n.  5 

jO 

116.7 

23.2 

79 

175.6 

34.0 

39 

234-4 

46.6 

99 

293.3 

58.3 

60 

58  8 

"•7 

ao 

117-7 

23.4 

80 

176.5 

35.1 

4o 

235.4 

46.8 

3oo 

294.2 

58.5 

D.st. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

E.byN. 


E.bS. 


W.byN. 


W.byS. 


LFor  7 


TABLE    1.                                                                 Ll'age5 

Difference  of  Latitude  and  Departure  for  l£  Points. 

N.byE.iE.                 N.byW.iW.                 S.byE.^E.                 S  byW.^W 

Di.sl. 

Lat. 

Dep. 

Disl. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

I 

01  .0 

00.2 

61 

59.2 

14.8 

121 

II7-4 

29.4 

181 

175.6 

44-0 

241 

233.8 

58.6 

2 

01.9 

oo.5 

62 

60.  i 

ID.  i 

22 

ii8.3 

29.6 

82 

176.5 

44.2 

4v 

234.7 

58.8 

3 

02.9 

00.7 

b3 

61.1 

13.3 

23 

119.3 

29.9 

83 

177.5 

44-5 

43 

2357 

59.0 

4 

03.9 

01  .0 

b4 

62.1 

i5.6 

24 

1  20.  3 

3o.i 

84 

178.5 

44.7 

M 

236.7 

593 

5 

04.9 

01  .2 

65 

63.i 

i5.6 

23 

121.  3 

3o.4 

85 

179.5 

45.o 

45 

237.7 

5o5 

6 

o5.8 

01  .3 

bb 

64.o 

16.0 

26 

122  .2 

3o.6 

86 

180.4 

45.2 

46 

238.6 

59.8 

7 

06.8 

01.7 

67 

65.o 

i6.3 

27 

123.2 

3o.9 

87 

181.4 

45.4 

47 

239.6 

60.0 

8 

07.8 

01.9 

08 

66.0 

i6.5 

28 

124.2 

3i.i 

88 

182.4 

45.7 

48 

240.6 

6o.3 

9 

08.7 

02.2 

b9 

66.9 

ib.8 

29 

I  25.  1 

3i.3 

89 

1  83.  3 

45.9 

49 

24i.5 

6o.5 

10 

09.7 

02.4 

70 

67.9 

17.0 

3o 

I26.I 

3i.6 

9° 

1  84.  3 

46.2 

5o 

242.5 

60.7 

1  1 

10.7 

02.7 

7i 

68.9 

i7.3 

i3i 

I27.I 

3i.8 

191 

i85.3 

46.4 

25l 

243.5 

61.0 

12 

n.  6 

02.9 

72 

69.8 

i7.5 

32 

128.0 

32.! 

92 

186.2 

46.7 

52 

244-4 

61.2 

r3 

12.  b 

03.2 

73 

70.8 

17.7 

33 

129.0 

32.3 

93 

187.2 

46.9 

53 

245.4 

6i.5 

r4 

13.6 

o3.4 

74 

71.8 

18.0 

34 

i3o.o 

32.6 

94 

1  88.  a 

47.1 

54 

246.4 

61.7 

i5 

i4.6 

o3.6 

75 

72.8 

18.2 

35 

i3i  .0 

32.8 

95 

189.2 

47.4 

55 

247.4 

62.0 

16 

i5.5 

o3.9 

76 

73-7 

i8.5 

36 

i3i  .9 

33.o 

96 

190.  i 

47-6 

56 

248.3 

62.2 

17 

i6.5 

0/».  I 

77 

74.7 

18.7 

37 

i32.9 

33.3 

97 

191  .1 

47-9 

57 

249.3 

62.4 

18 

i7.5 

o4.4 

78 

75.7 

I9.O 

38 

1  33.  9 

33.5 

98 

192.1 

48.i 

58 

25o.3 

62.7 

!9 

18.4 

04.6 

79 

76.6 

I9.2 

39 

i34.8 

33.8 

99 

193.0 

48.4 

59 

l5l  .2 

6i.g 

20 

19.4 

04.9 

80 

77-6 

19.4 

4o 

i35.8 

34.o 

200 

194.0 

48.6 

60 

252.2 

63.2 

21 

20  .4 

o5.i 

81 

78.6 

'9-7 

i4i 

1  36.  8 

34.3 

201 

195.0 

48.8 

261 

253.2 

63.4 

22 

21.3 

o5.3 

82 

79-5 

I9.9 

42 

137.7 

34.5 

02 

195.9 

49-1 

62 

254.1 

63.7 

23 

22    3 

o5.6 

83 

8o.5 

20.2 

43 

i38.7 

34-7 

o3 

196.9 

49-3 

63 

2.55.1 

63.  9 

24 

23.3 

o5.8 

84 

8i.5 

20.4 

44 

139.7 

35.o 

o4 

197.9  49-6 

64 

256.1 

64.1 

25 

24.3 

06.  i 

85 

62.5 

20.7 

45 

i4o.7 

35.2 

o5 

198.9 

49-8 

65 

257.1 

64.4 

26 

25.2 

o6.3 

86 

83.4 

20.  9 

46 

i4i.6 

35.5 

06 

199.8 

00.  I 

66 

258.0 

64.6 

27 

P.6.2 

06.6 

87 

84-4 

21  .1 

47 

i4a.6 

35.7 

07 

200.8 

5o.3 

67 

259.0 

64.9 

?8 

27.2 

06.8 

88 

85.4 

21.4 

48 

i43.6 

36.o 

08 

201.8 

5o.5 

68 

260.0 

65.i 

a  9 

28.1 

07.0 

89 

86.3 

21.6 

49 

i44-5 

36.2 

09 

202.7 

5o.8 

69 

260  9 

65.4 

3o 

29.1 

o7.3 

9° 

87.3 

21.  9 

5o 

i45.5 

36.4 

10 

203.7 

5i.o 

70 

261  9 

65.6 

3i 

3o.i 

07.5 

9i 

88.3 

22.  I 

i5i 

i46.5 

36.7 

21  I 

204-7 

5i.3 

271 

262.  9 

65.8 

3?. 

3i.o 

07.8 

02 

89.2 

22.4 

52 

i47.4 

36.o 

12 

2o5.6 

5i.5 

72 

2.63.8 

66.1 

33 

32.0 

08.0 

93 

00.2 

22.6 

53 

i48.4 

37.2 

i3 

206.6 

5i.8 

73 

264.8 

66.3 

34 

33.o 

08.3 

94 

91  .2 

22.8 

54 

149.4 

37-4 

i4 

207.6 

52.0 

74 

265.8 

66.6 

35 

34.o 

oR.5 

95 

92.2 

23.1 

55 

i5o.4 

37-7 

i5 

208.6 

52.2 

75 

266.8 

66.8 

36 

34-9 

08.7 

96 

93.1 

23.3 

56 

i5i.3 

37-9 

16 

209.5 

52.5 

76' 

267.7 

67.1 

37 
38 
39 
4o 

35.9 
36.9 
37.8 
38.8 

09.0 
09.2 
09.5 
09.7 

97 

98 

99 

100 

94.1 

95.i 
06.0 
97-o 

23.6 
23.8 
24.1 
24.3 

57 
58 

59 
60 

i52.3 
i53.3 
i54.2 
1  55.  2 

38.i 
38.4 
38.6 
38.9 

17 
18 

'9 

20 

210.5 
21  I  .5 

212.4 
2i3.4 

32.7 

53.o 
53.2 
53.5 

77 
78 

79 
80 

268.7 

269.7 

570.6 

271  .6 

67.3 
67.5 
67.8 
68.0 

IT 

42 

43 
44 
45 

39.8 

40.7 

4i.7 
42.7 
43.7 

IO.O 
10.2 
10.4 
10.7 
IO.O 

IOI 

02 

o3 
04 
c5 

98.o 
98.9 

99-9 
i  oo  .  9 
101  .9 

24.5 
24.8 

25.0 

25.3 
?5.5 

161 
62 
63 
64 
65 

i56.2 
i57.i 
i58.i 
159.1 
160.1 

39.i 
39.4 
39.6 
39.8 
4o.i 

221 
22 
23 
24 
25 

214.4 
2i5.3 
216.  3 
217.3 
218.  3 

53.7 
53.9 
54.2 
54.4 
54-7 

281 
82 
83 
84 
85 

272.6 

273.5 
274.5 
275.5 
276.5 

68.3 
68.5 
C8.8 
i  69.0 
69.2 

46 

44.6 

II  .2 

oC 

102.8 

25.8 

66 

161  .0 

4o.3 

s6 

219.2 

&'9 

86 

277.4 

60.5 

47 
48 

45.6 
46.6 

n.  4 
11.7 

07 

08 

io3.8 
104.8 

26.0 
26.2 

67 
68 

162.0 
i63.o 

4o.6 
4o.8 

27 
28 

220.2 
221  .2 

55.2 
55.4 

87 
88 

278.4 
279-4 

69.7 

70.0 

11 

47-5 
48.5 

11.9 

12.1 

09 

10 

io5.7 

1  06  .  7 

26.5 
26.7 

69 

70 

i63.9 
164.9 

4i.i 

4i.3 

29 
3o 

222.1 
223.1 

55.6 
_55_l9_ 

89 

9° 

280  .  3 
281.3 

iTO.s 
70.5 

5i 

52 

53 

54 
55 
56 
57 
58 

59 
60 

49-5 
5o.4 
5i.4 
52.4 
53.4 
54.3 
55.3 
56.3 

57.2 

58.2 

12.4 

12.6 

£? 

i3.4 
i3.6 
i3.8 
i4-i 
i4-3 
i4.6 

II  1 

12 

i3 
i4 
i5 
16 

17 
18 

*9 

20 

107.7 
108.6 
io9.6 
110.6 
in  .6 

112.  5 

ii3.5 

u4-5 
ii5.4 
116.4 

27.0 
27.2 
27.5 

27-7 

27-9 
28.2 

28.4 
28.7 
28.9 

29    2 

171 

?,3 

74 

75 
76 

77 
78 

79 
80 

165.9 
166.8 
167.8 
168.8 
169.8 
170.7 
171.7 
17^.7 
173.6 
174.6 

4i.5 
4i.8 
42.0 
42.3 
42.5 
42.8 
43.o 
43.3 
43.5 
43.7 

23l 
32 

33 
34 
35 
36 

37 
38 
39 
4o 

224.1 
225.  0 
226.0 
227.0 
228.0 
228.9 
229.9 

23o.9 
23i.8 

232   .8 

56.i 
56.4 
56.6 
56.9 
5?.i 
57-3 
57.6 
57.8 
53.; 
58.3 

291 

9? 

93 

94 

93 
96 

97 
98 

99 

3oo 

202  .0 
283.2 
284.2 
285.2 

286.2 
287.1 
288.1 
289.1 

290.0 
291  .0 

70.7 
71.0 
71.2 
7i.4 
71-7 
71.9 
72.2 
72.4 
72.7 

72-9 

Disi.j  Hep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

-.          •—  •  • 

E.N.E.|E. 

'    -E  S.K.IK.           W.N.W.JW.           W.S.W.3W.           [Foroaroin 

Page  6]                                                                 TABLE    I 

Difference  of  Latitude  and  Departure  for  1£  Points. 

N.byE.^E.                  N.byW.iW.                  S.byE.^E                   S.byW.JW. 

Dist.    Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

I 

01  .0 

oo.3 

61 

58.4 

17.7 

121 

n5.8 

35.i 

181 

173.2 

52.5 

24  1 

23o.6 

70.0 

2 

01.9 

00.6 

62 

59.3 

18.0 

22 

116.7 

35.4 

82 

174.2 

52.8 

42 

23i.6 

70.2 

3 

02.9 

00.9 

53 

6o.3 

i8.3 

23 

117  7 

35.7 

83 

iAi 

53.i 

43 

232.5 

7o.5 

4 

o3.8 

01.2 

64 

61.2 

18.6 

24 

11.8.7 

36.o 

84 

176.  i 

53.4 

44 

233.5 

70.8 

5 

04.8 

oi.5 

65 

62.2 

18.9 

25 

119.6 

36.3 

85 

177.0 

53.7 

45 

234.5 

7t.i 

6 

o5.7 

01.7 

66 

63.2    19.2 

26 

120.6 

36.6 

86 

178.0 

54.o 

46 

235.4 

71-4 

7 

06.7 

02.  o 

67 

64.1  1  19.4 

27 

121.5 

36.  o 

87 

178.9 

54.3 

47 

236.4 

71.7 

8 

07.7 

02.3 

68 

65.i 

19.7 

28 

122.5 

37.2 

88 

179.9 

54-6 

48 

237.3 

72.0 

9 

08.6 

02  .6 

69 

66.0 

20.  o 

29 

123.4 

37-4 

89 

180.9 

54.9 

49 

238.3 

72.3 

10 

09.6 

02.9 

70 

67.0 

20.3 

3o 

124.4 

37-7 

9° 

181.8 

55.2 

5o 

239.2 

72.6 

u 

io.5 

03.2 

7i 

67.9 

20.  6 

i3i 

125.4 

38.o 

i9i 

182.8 

55.4 

a5i 

240  .  2 

72.9 

12 

n.  5 

o3.5 

72 

68.9 

20.9 

32 

126.3 

38.3 

92 

183.7 

55.7 

5  a 

241  .1 

73.2 

i3 

12.4 

o3.8 

73 

69.9 

21  .2 

33 

127.3 

38.6 

93 

184.7 

56.o 

53 

2-42  .  I 

73.4 

i4 

i3.4 

04.1 

74 

70.8 

21.5 

34 

128.2 

38.  9 

94 

i85.6 

56.3 

54 

243.1 

73.7 

i5 

i4-4 

o4.4 

75 

71.8 

21.8 

35 

129.2 

39.2 

95 

186.6 

56.6 

55 

244.0 

74-o 

16 

i5.3 

04.6 

76 

72.7 

22.1 

36 

i3o.i 

39.5 

96 

187.6 

56.9 

56 

245.0 

74-3 

17 

i6.3 

04.9 

77 

73.7 

22.4 

37 

i3i.i 

39.8 

97 

i88.5 

57-2 

57 

245.  9 

74-6 

18 

17.2 

05.2 

78 

74-6 

22.6 

38 

i3a.i 

4o.  i 

98 

189.5 

57.5 

58 

246.9 

74.9 

*9 

18.2 

o5.5 

79 

75.6 

22.  9 

39 

i33.o 

4o.3 

99 

ly^.4 

57.8 

59 

247.8 

75.2 

20 

19.1 

o5.8 

80 

76.6 

23.2 

4o 

1  34.o 

4o.6 

200 

191.4 

58.i 

60 

248.8 

75.5 

21 

20.1 

06.  i 

81 

77.5 

23.5 

Ui 

i34.9 

4o.9 

201 

192.3 

58.3 

261 

249.8 

75.8 

22 

21  .1 

06.4 

82 

78.5 

23.8 

4  a 

i35.o 

41.2 

02 

193.3 

58.6 

62 

250.7 

•76.1 

23 

22.0 

06.7 

83 

79-4 

24.1 

43 

i36.8 

4i.5 

03 

194.3 

58.9 

63 

25l  .7 

76.3 

24 

23.0 

07.0 

84 

8o.4 

24.4 

44 

i37.8 

4i.8 

04 

195.2 

59.S 

64 

252.  6 

76.6 

25 

23.9 

o7.3 

85 

8i.3 

24.7 

45 

i38.8 

42.1 

o5 

196.2 

59.5 

65 

253.6 

76.9 

26. 

24-9 

o7.5 

86 

82.3 

25.0 

46 

i39.7 

42.4 

06 

197.1 

59.8 

66 

254.5 

77.2 

27 

25.8 

07.8 

87 

83.3 

25.3 

47 

140.7 

42.7 

07 

198.1 

60.  i 

67 

255.5 

77-5 

28 

26.8 

08.  i 

88 

84.2 

25.5 

48 

i4i.6 

43.o 

08 

199.0 

60.4 

68 

256.5 

77.8 

29 

27.8 

08.4 

89 

85.2 

25.8 

49 

142.6 

43.3 

09 

200.0 

60.7 

69 

257.4 

78.1 

3o 

28.7 

08.7 

90 

86.1 

26.1 

5o 

i43.5 

43.5 

10 

201  .0 

61  .0 

7" 

258.4 

78.4 

"  3i 

2C.7 

09.0 

91 

87.1 

26.4 

i5i 

i44.5 

43.8 

211 

201  .9 

6i.3 

271 

~259T3 

78.7 

32    36.6 

09.3 

92 

88.0 

26.7 

52 

i45.5 

44.i 

12 

2O2  .9 

6i.5 

72 

260.3 

79.0 

33 

3i.6 

09.6 

93 

89.o 

27.0 

53 

i46.4 

44-4 

13 

203.8 

61.8 

73 

261.2 

79.2 

34 

3a.5 

09.9 

94 

9o.o 

27.3 

54 

i47.4 

44-7 

i4 

204.8 

62.1 

74 

262  .  2 

79-5 

35 

33.5 

10.2 

95 

90.9 

27.6 

55 

i48.3 

45.o 

i5 

so5.7 

62.4 

75 

263.2 

79.8 

36 

34.4 

io.5 

96 

91.9 

27.9 

56 

i49-3 

45.3 

16 

206.7 

62.7 

76 

264.1 

80.  i 

37 

35.4 

10.7 

97 

02.8 

28.2 

57 

i5o.2 

45.6 

17 

207.7 

63.o 

77 

265.1 

80.4 

38 

36.4 

II  .0 

98 

93.8 

28.4 

58 

l5l  .2 

45.  9 

18 

208.6 

63.3 

78 

266.0 

80.7  , 

39 

37.3 

ii.  3 

99 

94.7 

28.7 

59 

l52.2 

46.2 

J9 

209.6 

63.6 

79 

267.0 

81.0 

4o 

38.3 

ii.  6 

100 

95-7 

29.0 

60 

i53.i 

46.4 

20 

210.5 

63.  9 

bo 

267.9 

8i.5 

4i 

39.2 

11.9 

IOI 

96.7 

29.3 

161 

1  54.  i 

46.7 

221 

211.5 

64.2 

281 

268.9 

81.6 

42 

40.2 

12  .2 

02 

97.6 

29.6 

62 

i55.o 

47.0 

22 

212.4 

64-4 

82 

269.9 

81.9 

43 

4i.i 

(2.5 

o3 

98.6 

29.9 

63 

i56.o 

47-3 

23 

2i3.4 

64-7 

83 

270.8 

82.2 

44 

42.1 

12.8 

o4 

99.5 

~  '      ' 

30.2 

64 

i56.9 

47-6 

24  '  214.4 

65.o 

84 

271.8 

82.4 

45 

43.i 

i3.i 

o5 

100.5 

3o.5 

65 

157.9 

47-9 

25    2i5.3 

65.3 

85 

272.7 

82.7 

46 

44.o 

i3.4 

06 

IOI  .4 

3o.8 

66 

i58.9 

48.2 

26   216  3 

65.6 

86 

273.7 

83.o 

47 

45.o 

i3.6 

07 

102.4 

3i.i 

67 

i59.8 

48.5 

2.7    217.2 

65.  9 

87 

274.6 

83.3 

48 

45.9 

13.9 

08 

io3.3 

3i.4 

68 

160.8 

48.8 

2fr 

218.2 

66.2 

88 

275.6 

83.6 

49 

46.  9 

14.2 

09 

io4.3 

3i.6 

69 

161  .7 

49.i 

29 

219.1 

66.5 

89 

276.6 

83.9 

5o 

47-8 

i4.5 

10 

ro5.3 

3i.9 

70 

162.7 

49-3 

3o 

22O.  I 

66.8 

90 

277-5 

84.2 

"  5i 

48.8 

i4.8 

ii  i 

106.2 

32.2 

171 

i63.6 

49.6 

23l 

221  .  I 

67.1 

291 

278.5 

84-5 

52 

49.8 

i5.i 

12 

107.2 

32.5 

72 

164.6 

49.9 

32 

222.  0 

67.3 

92 

2-79-4 

84-8 

53 

5o.7 

i5.4 

i3 

108.1 

32.8 

73 

i65.6 

50.2 

33 

223.0 

67.6 

93 

280.4 

85.i 

54 

5i.7 

i5.7 

i4 

109.  i 

33.i 

74 

i66.5 

5o.5 

34 

223.9 

67.9 

94 

281.3 

85.3 

55 

52.6 

16.0 

i5 

IIO.O 

33.4 

75 

167.5 

5o.8 

35 

224.9 

68.2 

95 

282.3 

85.6 

56 

53.6 

i6.3 

16 

III  .0 

33.7 

76 

168.4 

5i.i 

36 

225.8 

68.5 

96 

283.3 

85.9 

57 

54.5 

i6.5 

17 

112.  0 

34.0 

77 

169.4 

5i.4 

37 

226.8 

68.8 

97 

284.2 

86.2 

58 

55.5 

16.8 

18 

112.9 

34-3 

78 

170.3 

5i.-7 

38 

227.8 

69.1 

98 

285.2 

86  .  5 

59 

56.5 

17.1 

X9 

113.9 

34.5 

79 

i7i.3 

52.0 

39 

228.7 

69.4 

99 

286.1 

86.8 

60 

57-4 

17.4 

20 

n4.8 

34.8 

80 

172.2 

52.3 

4o 

229.7 

69.7 

3oo 

287.1 

87.1 

Dis. 

Dep. 

Lat. 

Dilh 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lai. 

DisL 

Dep. 

Lat. 

E.N.E.^E.           E.S.E.^E.           W.N.W.^W.          W.S.W.^W.           [For  $$  Points. 

TABLE  i.                              1Pag~p 

Difference  of  Latitude  and  Departure  for  13  Pointg 

N.byE 

IB. 

Dist       Lat 

N.byT 

Dep 

v.$w. 

D'st      T  -• 

S.byE.|E. 

S.byW.fVY. 

i    00.9 

2     01  .9 

00.3 

00.7 

6  1 
62 

57.4 
58.4 

20.  6 
20.9 

121 
22 

Il3.9 
1  14  9 

Dep 

4o.8 

IJist 
181 

o0 

Lat. 

170.4 

Dep 
61.0 

Dst 

24. 

L?.t. 
226.9 

Dep. 

81.  a 

3 

4 
5 
6 
i 
8 

9 

10 

02.8 

o3.8 
o4-7 
o5.6 
06.6 
o7.5 
o8.5 
09.4 

0,  .0 

oi  .3 

01  .7 
02.0 

02.4 
02.7 
o3.o 
o3.4 

63 
64 
65 
66 
67 
68 
69 
70 

59.3 
6o.3 

6l  .2 

62.1 

63.i 
64.o 
65.o 
65.  9 

21.2 
21.6 
21  .9 
22.' 
22.6 
22.9 
23.2 

23.6 

23 
24 
25 
26 
27 
28 
29 

3o 

1,6.8 
1,7.7 
Ti8.6 
119.6 

.20.5 
121.  5 
122  .4 

4i.4 

42!° 
42.4 
42.8 
43. 
43.5 
43.8 

83 
84 
85 
86 

87 
88 

89 

9° 

172.3 

,73.2 

174.2 

175.1 

.76.1 
177.0 
178.0 
i78.9 

O..3 
61.7 
62.0 
62.3 
62.7 
63.o 
63.3 
63.7 
64.0 

42 

43 

44 
45 
46 
47 
48 
49 
5o 

227.0 
228.8 
229.7 
230.7 
23i.6 

232.6 

233.5 
234.4 
235.4 

8i.5 
81.9 
82.2 
82.6 
82.9 
83.2 
83.5 
83.9 

8f.2 

1  1 

12 

i3 
i4 
i5 
16 

r8 

•20 

10.4 

12.2. 
[3.2 

l6.0 
16.9 
17.9 

18.8 

03.7 
04.0 
04.4 
0*4.7 

o5  .  i 

o5:7 

06  .  1 
06.4 

of)  .  7 

71 

72 
73 
74 
75 
76 
77 
78 

11 

66.8 
67.8 
68.7 
69.7 
70.6 
71.6 
72.5 
73.4 
74-4 
75.3 

23.0 

24.3 
24.6 
24.9 
25.3 
25.6 
2.5.9 
26.3 
26.6 
27.0 

,3 

32 

33 
34 
35 

36 
37 
38 
39 

,23.3 

124.3 

125.2 

126.2 
127.1 
128.0 
129.0 

129.9 

130.9 
i3,.8 

44. 

44.5 
44.8 
45., 
45.5 
45.8 
46.2 
46.5 
46.8 
47-2 

19, 

9? 
93 

94 

95 
96 

97 
98 

99 

200 

179-8 
180.8 
181.7 
,82.7 
i83.6 
i84.5 
i85.5 
186.4 
187.4 
i88.3 

64.3 
64-7 
65.o 
65.4 
65.7 
66.0 
66.4 
66.7 
67.0 
67.4 

25, 
52 

53 

54 
55 
56 
57 
58 

59 
60 

236.3 
237.3 

238.2 
239.2 

240.  1 
241  .0 
242.0 
242.9 
243.  9 
244.8 

846 
84.9 
85.2 
85.6 
85.9 
86.2 
86.6 
86.9 
87.3 
87.6 

21 
22 
23 

2.4 

35 

27 

28 

19.0 
.20.7 
21.7 

22.6 

23.5 

24.5 
25.4 
26.4 

07.1 
07.4 
07.7 
08.1 
08.4 
08.8 
09.  r 
09.4 

81 
82. 
83 
84 
85 
86 
87 
88 

7b.J 
77-2 
78.1 
79.1 
80.0 
81.0 
81.9 
82.9 

27.3 

27.6 
28.0 
28.3 
28.6 
29.0 
29.3 
29.6 

42 

43 

44 

45 
46 

47 
48 

.32.8 
i33.7 
,34.6 
i35.6 
i36.5 
i37.5 
1  38.  4 
139.3 

47-5 
47-8 
48.2 
48.5 
48.8 

49.2 

49!9 

2OI 
O2 

o3 

04 
o5 
06 
07 
08 

189.3 

I90.2 
I91  .  I 
I92.  I 
I93.0 

i94.o 

194.9 
195.8 

67-7 
68.1 
68.4 
68.7 
69.1 
69.4 

69.7 
70.1 

261 
62 
63 
64 
65 
66 
67 
68 

245.7 
246.7 
247-6 
248.6 
249.5 
25o.5 
25i.4 

252.3 

87.9 
88.3 
88.6 
88.9 
89.3 
89.6 
89.0 
OO.3 

3o 

—•£  — 

27.3 
28.2 

09.8 

10.  , 

69 
9° 

83.8 

84-7 

3o.o 

3o.3 

49 
5o 

.4o.3 

.4.  -2 

50.2 

5o.5 

09 

•o 

196.8 
197.7 

70.4 
70.7 

69 
70 

253.3 

254-2 

fa 

Ji 

29.2 

10.4 

91 

85.7 

Jo.  7 

,5i 

:4?.2 

5o.9 

J.I  I 

198.7 

Jt'i 

271 

255.2 

3 

7? 

Jo., 

10.8 

92 

86.6 

Jl.O 

52 

143.  i 

5l.2 

12 

i99.6 

71.4 

72 

256.i 

oi  6 

33    3  i.  i 

34    39.o 

M.I 

93 

94 

87.6 
88.5 

3,  .3 
3.  -7 

53 
54 

i44.i 
i45.o 

5,.5 

5..Q 

i3 

200  .  5 
201  .5 

71.8 
72.1 

73 
74 

257.0 

258.o 

92.0 
02.3 

35 
36 
37 

JJ.O 

33.9 

34.8 

,1.8 

I  2  .  I 
12.5 

95 

96 

97 

89.4 
90.4 
91  .3 

32.0 

32.3 

32.7 

55 
56 

57 

i45.o 
.46.9 
147.8 

52.2 

52.6 

52.  q 

i5 
1  6 

,7 

202.4 
203.4 

204.3 

72.4 
72.8 

73.1 

75 

77 

258.9 

259.0 

260.8 

>    - 
92.6 

93.o 
93.3 

38 

35.8 

12.8 

98 

33.o 

58 

i48.8 

53.2 

18 

2o5.3 

73.4 

78 

261  .7 

93.7 

39 

Jo.  7 

i3.  i 

99 

93.2 

33.4 

59 

149.7 

53.6 

19 

206.2 

73.8 

79 

262  .7 

94-o 

4o 

37.7 

,3.5 

IOO 

94.2 

33.7 

60 

i5o.6 

53.9 

20 

207.1 

74n 

80 

263.6 

94-3 

4i 

38.6 

.3.8 

.01 

95.i 

34.o 

16, 

i5i.6 

54.2 

221 

208.1 

-4-5 

281 

264.6 

94-7 

42 

39.  b 

,4.1 

02 

96.0 

34-4 

62 

i52.5 

54.6 

22 

209.0 

74-8 

82 

265.5 

95.o 

43 

4o.5 

,4.5 

o3 

97.0 

34-7 

63 

i53.5 

54-9 

23 

2  IO.O 

-5.i 

83 

2.66  .  5 

95.3 

44 

4i  -4 

14.8 

o4 

97-9 

35.o 

64 

i54.4 

55.2 

24 

2,0.9 

75.5 

84 

267.4 

95.7 

45 

42.4 

1  5  .  * 

o5 

98.9 

35.4 

65 

,55.4 

55.6 

25 

21  ,  .8 

75.8 

85 

268.3 

96.o 

46 

43.3 

i5.5 

06 

99.8 

35.7 

66 

i56.3 

55.  Q 

26 

2,2.8 

76.1 

86 

269.3 

96.4 

47 

44.3 

1  5.  8 

07 

100.7 

36.o 

67 

,57.2 

56.3 

27 

2,3.7 

76.5 

87 

270.2 

96.7 

48 

45.2 

16.2 

08 

,01  .7 

56.4 

68 

.58.2 

56.6 

28 

2l4-7 

76.8 

88 

27.  .2 

97-° 

49  i  46  .  i 

.6.5 

09 

1  02  .6 

36.7 

69 

159.1 

56.9 

29 

2.5.6 

77-1 

89 

272.1 

97-4 

5o 

47.1 

16.8 

10 

io3.6 

37.I 

70 

160.1 

57.3 

3o 

2,6.6 

77-5 

9° 

273.0 

97-7 

5i 

48.o 

1-7.2 

1  1 

io4.5 

37.4 

171 

61  .0 

57.6 

23l 

2,7.5 

77-8 

29I 

274.0 

98.0 

52 

49.0 

I7.5 

12 

io5.5 

37.7 

72 

161  .9 

57-9 

32 

218.4 

78.2 

92 

274.9 

98.4 

53 

49.9 

I7.9 

i3 

106.4 

38.i 

73 

62.  9 

58.3 

33 

2,9.4 

-8.5 

93 

275.0 

98-7 

54 

18.2 

i4 

107.  3 

38.4 

74 

63.8 

58.6 

34 

220.  3 

78.8 

94 

276.8 

99.0 

55 

5i.8 

i8.5 

i5 

io8.3 

38.7 

75 

64.8 

59.o 

35 

221.3 

79.2 

95 

277-8 

99-4 

56 

52.7 

18.9 

16 

109.2 

39.i 

76 

65.7 

59.3 

36 

222.2 

79-5 

96 

278  7 

99-7 

5- 

53.7 

19.2 

17 

II0.2 

3o.4 

77 

66.7 

59.6 

37 

223.1 

79-8 

97 

279  6 

OO.l 

58 

54-6 

r9.5 

18 

III  .1 

39.8 

78 

67.6 

60.0 

38 

224.1 

80.2 

98 

280  6 

00.4 

59 

55.6 

i9.9 

19 

I  I  2.0 

4o.i 

79 

68.5 

6o.3 

39 

225.0 

8o.5 

99 

28)  5 

00.7 

60   56.5 

2O.  2 

20 

u3.o 

4o.4 

80 

69.5 

60.6 

4o 

226.O 

Bo.9 

oo 

a8a.5 

01.  1 

D  st.j  Dep.  1  Lat. 

isl. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

K*t. 

Dep. 

Lat. 

E.N.K.|E.          E.S.E.JE.          W.N.W..4W.          W.S.W.jW.           [For  \\  Points. 

Page  8]                                                                    TABLE    I 

Difference  of  Latitude  and  Departure  for  2  Points. 

N.N.E.                      N.N.W.                      S.S.E.                      S.S.W. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

1  .at. 

Dep. 

i 

00.9 

00.4 

61 

56.4 

23.3 

12.1 

in.  8 

46.3 

181 

167.2 

69.3 

24  1 

222.  7 

92.2 

2 

01.8 

00.8 

62 

57-3 

23.7 

22 

112.7 

46.7 

82 

168.1 

69.6 

42 

223.6 

92.6 

3 

02.8 

01  .1 

63 

58.2 

24.1 

23 

n3.6 

47-1 

83 

169.1 

70.0 

43 

224.5 

93.0 

4 

o3.7 

oi.5 

64 

59.J 

24.5 

24 

114.6 

47-5 

84 

170.0 

70.4 

44 

•>25.4 

93.4 

5 

04.6 

01  .9 

65 

60.  i 

24.9 

25 

ii5.5 

47-8 

85 

170.9 

70.8 

45 

226.4 

93.8 

6 

o5.5 

02.3 

66 

61  .0 

25.3 

26 

116.4 

48.2 

86 

171.8 

71.2 

46 

227.3 

o4-i 

7 

o6.5 

02.7 

67 

61  .9 

25.6 

27 

n7.3 

48.6 

87 

172.8 

71.6 

47 

228.2 

94-5 

8 

07.4 

o3.i 

68 

62.8 

26.0 

28 

ii8.3 

49.0 

88 

173.7 

71.9 

48 

229.  1 

94.9 

9 

o8.3 

o3.4 

69 

63.7 

26.4 

29 

119.2 

49.4 

89 

174-6 

72.3 

49 

2.30.O 

95.3 

10 

09.2 

o3.8 

70 

64-7 

26.8 

3o 

1  20.  i 

49.7 

90 

175.5 

72.7 

5o 

23l  .0 

95-7 

1  1 

IO.  2 

04.2 

7i 

65.6 

27.2 

i3i 

121  .0 

5o.i 

191 

176.5 

73.i 

2§1 

23l  .9 

96.1 

j  ^ 

1  I  .  I 

04.6 

72 

66.5 

27.6 

32 

122.0 

5o.5 

92 

177-4 

73.5 

52 

232.8 

96.4 

i3 

12  .O 

o5.o 

73 

67.4 

27.9 

33 

122.9 

60.9 

93 

178.3 

73.9 

53 

233.7 

96.8 

14 

12.9 

o5.4 

74 

68.4 

28.3 

34 

123.8 

5i.3 

94 

179.2 

74.2 

54 

234.7 

97.2 

i5 

i3.o 

o5.7 

75 

69.3 

28.7 

35 

1  24  .  7 

5i.7 

95 

180.2 

74-6 

55 

235.6 

97.6 

16 

14.8 

06.  i 

76 

70.2 

29.1 

36 

125.6 

52.0 

96 

181.1 

75.o 

56 

236.5 

98.0 

i? 

l5.T 

o6.5 

77 

11  .1 

29.5 

37 

126.6 

52.4 

97 

182.0 

75.4 

57 

237.4 

98,3 

18 

16.6 

06.9 

78 

72.1 

29.8 

38 

127.5 

52.8 

98 

182.9 

75.8 

58 

238.4 

98.7 

W 

•17.6 

o7.3 

79 

73.o 

30.2 

39 

128.4 

53.2 

99 

183.9 

76.2 

59 

s39.3 

99.1 

2O 

i8.5 

07.7 

80 

73.9 

3o.6 

4o 

129.3 

53.6 

200 

184.8 

76.5 

60 

240  .  2 

g9.5 

21 

19.4 

08.0 

61 

74-8 

3i.o 

Mi 

i3o.3 

54-0 

201 

185.7 

76.9 

261 

24l  .1 

99-9 

22 

20.3 

08.4 

82 

75.8 

3i.4 

42 

l3l.2 

54.3 

02 

186.6 

77-3 

62 

2.42  .  I 

ioo.3 

23 

21  .2 

08.8 

83 

76.7 

3i.8 

43 

I32.I 

54.7 

03 

187.5 

77-7 

63 

243.0 

100.6 

24 

22  .2 

09.2 

84 

77.6 

32.1 

44 

1  33.o 

55.i 

o4 

i88.5 

78.1 

64 

243.9 

I  01  0 

25 

23.1 

09.6 

85 

78.5 

32.5 

45 

1  34.0 

55.5 

OD 

189.4 

78.5 

65 

244.8 

101  4 

26 

24.0 

09.9 

86 

79-5 

32.9 

46 

1  34.Q 

55.9 

06 

190.3 

78.8 

66 

245.8 

1  01.  8 

27 

24.9 

10.3 

87 

8o.4 

33.3 

47 

i35.8 

56.3 

07 

191  .2 

79-2 

67 

246.  7 

102.2 

28 

25.9 

10.7 

88 

8i.3 

33.7 

48 

1  36.7 

56.6 

08 

192.2 

•79.6 

68 

247-6 

102.6 

29 

26.8 

1  1  .  i 

89 

82.2 

34.i 

49 

1  37:7 

57.o 

09 

i93.i 

80.0 

69 

248.5 

102.9 

3c    27.7 

n.  5 

9° 

83.i 

34-4 

5o 

1  38.6 

57-4 

IO 

194.0 

80.4 

70 

249.4 

io3.3 

3i 

28.6 

11.9 

91 

84.1 

34.8 

ibi 

i39.5l57.8 

21  I 

194.9 

8o.7 

271 

25o.4 

K)3  - 

32 

29,6 

12.2 

92 

85.o 

35.2 

52 

i4o.4 

58.2 

12 

i95.9 

81.1 

72 

25i.3 

K>4   1 

33 

3o.5 

12.6 

93 

85.9 

35.6 

53 

i4i.4 

58.6 

i3 

196.8 

8i.5 

73 

252.2 

io4  5 

34 

3i.4 

i3.o 

94 

86.8 

36.o 

54 

142.3 

58.  9 

M 

197.7 

8i.9 

74 

253.1 

104.9 

o^ 

%*N^ 

3^.3 

i3.4 

95 

87.8 

36.4 

55 

M3.2 

5o.3 

i5 

198.6 

82.3 

75 

254.1 

105.2 

36 

33.3 

i3.8 

96 

88.7 

36.7 

56 

i44-i 

59-7 

16 

199.0 

82.7 

76 

255.0 

io5.6 

37 

34.2 

14.2 

97 

89.6 

37.i 

57 

i45.o 

60.  i 

17 

200.5 

83.o 

77 

255.0 

1  06.0 

38 

35.i 

i4.5 

98 

90.5 

37.5 

58 

i46.o 

6o.5 

18 

201  .4 

83.4 

78 

256.8 

106.4 

39 

36.o 

i4-9 

99 

9i.5 

37-9 

59 

146.9 

60.8 

19 

202.3 

83.8 

79 

2.57.8 

106.8 

4o 

37.o 

i5.3 

100 

92.4 

38.3 

60 

147-8 

6.1.  a 

20 

203.3 

84.2 

80 

2.58.7 

107.2 

4i 

37-9 

i5.7 

101 

93.3 

38.7 

161 

148-7 

61.6 

221 

204.2 

84.6 

281 

2.59.6 

107.5 

42 

38.8 

16.1 

02 

94.2 

39.0 

62 

149.7 

62.0 

22 

205.  I 

85.o 

82 

260  .  5 

107.9 

43 

39-7 

i6.5 

o3 

95.2 

39.4 

63 

i5o.6 

62.4 

23 

206.0 

85.3 

83 

261.5 

u,8  '3 

44 

40.7 

16.8 

o4 

96.1 

39.8 

64 

i5i.5 

62.8 

24 

206.9 

85.7 

84 

262.4 

108.7 

45 

4i  .6 

17.2 

o5 

97.0 

40.2 

65 

i52.4 

63.i 

25 

207.9 

86.1 

85 

263.3 

IOQ.1 

46 

42.5 

17.6 

06 

97.9 

4o.6 

66 

i53.4 

63.5 

26 

208.8 

86.5 

86 

264  .  2 

109.4 

47 

43.4 

18.0 

07 

98.9 

40.9 

67 

i54.3 

63.  o 

27 

209.7 

86.9 

87    365.2 

109.8 

48 

44.3 

18.4 

08 

99-8 

4i.3 

68 

i55.2 

64.3 

28 

2IO.6 

8-^.3 

88    266.1 

I  10.2 

49 

45.3 

18.8 

09 

100.7 

4i-7 

69 

i56.i 

64-7 

29 

21  I  .6 

87.6 

89  |  26-7.0 

1  10.6 

5o 

46.2 

19.1 

10 

101  .6 

42.1 

70 

167.1 

65.. 

3o 

212.5 

88.0 

9° 

2.67.9 

I  I  1  .0 

5i 

47.1 

IQ.5 

II  I 

102.6 

42.5 

171 

i5b.o 

65.4 

23l 

ai3.4 

88.4 

291 

268.8 

1  1  1.  4 

52 

48.0 

19.9 

12 

io3.5 

42.9 

72 

1  58.0 

65.8 

32 

2i4.3 

88.8 

92 

269.8 

111.7 

53 

49.0 

20.3 

i3 

104.4 

43.2 

73 

i59.8 

66.2 

33 

215.3 

89.2 

93 

2.70.7 

1  12.1 

54 

49.9   20.7 

i4 

io5.3 

43.6 

74 

160.8 

66.6 

34 

2ID.2 

89.5 

94 

271  .6 

I  12.5 

55 

5o.8 

21  .O 

i5 

106.2 

44-0 

75 

161  .7 

67.0 

35 

217.1 

80.9 

95 

272.5 

1  12.9 

56 

5i.7 

21.4 

;6 

107.2 

44-4 

76 

162.6 

67-4 

36 

218.0 

9o.3 

96 

273.5 

ii3.3 

57 

52.7 

21.8 

17 

108.1 

44.8 

77 

i63.5 

67-7 

37 

219.0 

9°-7 

97 

274.4 

u3.7 

58 

53.6 

22.2 

18 

109.0 

45.2 

78 

i64.5 

68.1 

38 

219.9 

91.1 

98 

275.3 

1  1  4  •'-> 

59 

54.5    22.6 

19 

109.9 

45.5 

79 

i65.4 

68.5 

39 

220.8 

91  is 

99 

276.2 

11  4  -4 

Go|  55.4 

23.0 

20 

110.9 

45-9 

80 

i66.3 

68.9 

4o 

221  .7 

91.8 

3oo 

277.2 

ii  4-8 

DiSt..    I)C|>. 

Lat. 

Dist. 

Dop.  1   Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dcp. 

Lat. 

Dist. 

Dep. 

Lat. 

E.iN.E.                E.S.E.               W  N.W.                W.S.W.                  [For  (5  Points. 

TABLE    J.                                                                     [Page  9 

Difference  of  Latitude  and  Departure  for  2£  Points. 

N.N.E.iE.                  N.N.W.4W.                 S.S.E.^E.                 S.S.W.^W. 

Dist. 

Lat. 

Dep. 

Disi. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat.   I   Dep. 

i 

00.9 

00.4 

61 

55.1 

26.1 

121 

109.4 

5.  .7 

101 

r63.6 

77.4 

241 

21-7.9 

icS.o 

2 

3 
.     4 
5 
6 

01  .8 
02  .7 
o3.6 
o4.5 
o5.4 
o6.3 

00.9 
01  .3 
01.7 

02.  I 

02  .6 
o3  o 

62 
63 
64 
65 
66 
67 

56.o 
57.o 
57.9 
58.8 
59-7 
60.6 

26.5 
26.9 
27.4 
27.8 
28.2 
28.6 

22 
23 
24 
25 

26 

27 

no.  3 

III  .2 
I  12  .  I 

i  i3.o 
114.8 

52.2 

52.6 
53.o 
53.4 
53.9 
54.3 

82 
83 

84 
85 
86 
87 

i64.5 
i65.4 
i66.3 
167.2 
168.1 
169.0 

77.8 

78.2 

78.7 
79.1 
79.5 

80.0 

42 

43 
44 
45 
46 

47 

218.8 

220.6 
221.5 
222.4 
223.3 

io3.5 
103.9 
io4.3 
104.8 

I05.2 

io5.6 

8 

07.2 

o3.4 

68 

6i.5 

29.1 

28 

u5.7 

54.7 

88 

169.9 

80.4 

48 

224.2 

1  06.0 

9 

08.  i 

o3.8 

b9 

62.4 

29.5 

29 

116.6 

55.2 

89 

170.9 

80.8 

225.1 

i  o6.5 

10 

09.0 

o4-3 

70 

63.3 

29.9 

3o 

ii7.5 

55.6 

90 

171.8 

81.2 

5o 

226.O 

106.9 

1  1 

09.9 

04.7 

71 

64.2 

3o.<| 

i3i 

118.4 

56.o 

191 

172.  7 

81.7 

25l 

226.  9 

io7.3 

1.3 

10.8 

o5.i 

72 

65.i 

3o.8 

32 

u9.3 

56.4 

92 

173.6 

82.1 

5?. 

227.8 

107.7 

i3 

ii.  8 

o5.6 

73 

66.0 

3l.2 

33 

120.2 

56.9 

Q3 

174.5 

82.5 

53 

228.7 

108.2 

i4 

12.7 

06.0 

74 

66.9 

3i.6 

3^4 

121  .  I 

57.3 

94 

175.4 

82.9 

54 

229.6 

1  08  .6 

i5 

1  3.  6 

06.4 

75 

67.8 

32.1 

35 

122.0 

57-7 

95 

176.3 

83.4 

55 

9  In  5 

109.0 

16 

i4.5 

06.8 

76 

68.7 

32.5 

36 

122.  0 

58.i 

Q6 

177.2 

83.8 

56 

23i.4 

109.5 

17 

i5.4 

o7.3 

77 

69.6 

32.9 

37 

123.8 

58.6 

97 

178.1 

84.2 

57 

232.3 

109.9 

18 

i6.3 

07.7 

78 

70.5 

33.3 

38 

124.8 

59.0 

98 

1-79.0 

84-7 

58 

233.2 

i  io.3 

19 

17.2 

08.  i 

79 

71-4 

33.8 

39 

125.7 

59.4 

99 

'79-9 

85.i 

59 

234.1 

I  IO.7 

20 

18.  i  j  08.6 

80 

72.3 

34.2 

4o 

126.6 

59.9 

200 

180.8 

85.5 

60 

235.0 

1  1  1.3 

21 

19.0 

09.0 

81 

73.2 

34.6 

i4i 

127,5 

6o.3 

201 

181.7 

85.9 

261 

235.9 

1  1  1.6 

22 

19.9 

09.4 

8-j 

74-1 

3D.  I 

42 

128.4 

60.7 

O2 

182.6 

86.4 

6a 

2.36.8 

112.0 

23 

20.8 

09.8 

83 

75.o 

35.5 

43 

129.3 

61.1 

o3 

1  83  .'5 

86.8 

63 

237.  7 

II2.4 

24 

21  .7 

io.3 

84 

75-9 

35.9 

44 

i3o.2 

61.6 

o4 

184.4 

87.2 

64 

238.7 

1  12.9 

25 

22.6 

10.7 

85 

76.8 

36.3 

45 

i3i  .  i 

62.0 

o5 

i85.3 

87.6 

65 

239.6 

n3.3 

26 

23.5 

ii  .  i 

86 

77-7 

36.8 

46 

l32.0 

62.4 

06 

186.2 

88.1 

66 

24o.5 

u3.7 

27 

24.4 

ii.  5 

87 

78.6 

37.2 

47 

132.9 

62.9 

07 

187.1 

88.5 

67 

24i-4 

I  1  4.  2 

28 

25.3 

12.0 

88 

79.6 

37-6 

48 

i33.8 

63.3 

08 

188.0 

88.9 

68 

242.3 

ti4.6 

29 

26.2 

12.4 

89 

8o.5 

38.i 

49 

1  34.  7 

63.7 

09 

188.9 

89.4 

69 

243.2 

1  1  5.o 

3o 

27.1 

12.8 

90 

81.4 

38.5 

5o 

i35.6 

64.i 

10 

189.8 

89.8 

70 

244.1 

ii  5.4 

3  1 

28.0 

i3.3 

91 

82.3 

38.9 

i5i 

1  36.5 

64.6 

211 

190.7 

90.2 

271 

245.0 

i  i5.o 

32 

28.9 

i3.7 

92 

83.2 

39.3 

52 

i37.4 

65.o 

12 

191.6 

9o.6 

72 

245.9 

u6.3 

33 

29.8 

93 

84.1 

39.8 

53 

1  38,3 

65.4 

i3 

192.5 

91.1 

73 

246.8 

I  1  6.  7 

34 

30.7 

.4.5 

Q4 

85.o 

40.2 

54 

139.2 

65.8 

i4 

i93.5 

9i.5 

74 

247-7 

117.2 

35 

3i.6 

1  5.o 

Q5 

85.9 

4o.6 

55 

i4o.i 

66.3 

i5 

194.4 

91.9 

75 

248.6 

I  17.6 

36 

32.5 

i5.4 

86.8 

4  1  .0 

56 

i4i  -o 

66.7 

16 

195.3 

92.4 

76 

249.5 

118.0 

37 

33.4 

i5.8 

97 

87-  7 

4i.5 

57 

i4i.9 

67.1 

17 

196.2 

92.8 

77 

2.5o.4 

118.4 

38 

34.4 

16.2 

Q8 

88.6 

4i-9 

58 

142.8 

67.6 

18 

197.1 

93.2 

78 

s5i  .3 

118.9 

3o 

35.3 

16.7 

99 

89.5 

423 

59 

i43.7 

68.0 

19 

198.0 

93.6 

79 

252.2 

1  19.3 

4o 

36.2 

17.1 

IOO 

90.4 

42.8 

60 

1  44.6 

68.4 

20 

198.9 

94.i 

80 

253.1 

1  19.7 

4i 

37.i    i7.5 

101 

9i.3 

43.2 

161 

i45.5 

68.8 

221 

199-8 

94-5 

281 

254.0 

1  20.  i 

4  a 

38.o 

18.0 

02 

92.2 

43.6 

62 

146.4 

69.3 

22 

200.7 

94.9 

82 

254.  9 

120.6 

43 

38.9 

18.4 

o3 

44-0 

63 

i47-4 

69-7 

23 

2OI  .6 

95.3 

83 

255.8 

121.0 

44 

18.8 

o4 

94.0 

44-5 

64 

i48.3 

70.1 

24 

2O2.5 

95.8 

84 

256.  7 

I  2  1.  4 

45 
46 

40.7 
4i  .6 

19.2 
19.7 

o5 
06 

94.9 
95.8 

44-9 
45.3 

65 
66 

149.2 
i5o.i 

7o.5 
71.0 

25 

26 

2o3.4 
2o4.3 

96.2 
96.6 

85 
86 

257.6 
258.5 

I2I-9 

122.3 

47 

48 

42.5 
43.4 

20.  i 

20.5 

07 
08 

96.7 
97-6 

45.7 
46.2 

67 
68 

i5i  .0 
l5i.O 

7i.4 
7i.8 

27 

28 

205  .  2 

206.  1 

97.1 

97.5 

87 
88 

259.4 
260.3 

[22.7 
12.3.. 

44.3 

21  .O 

09 

98.5 

46.6 

69 

i52.8 

72.3 

29 

207.0 

97-9 

89 

261.3 

12.3.6 

5o 

45.2 

21.4 

10 

99.4 

47.0 

70 

1  53.7 

72-7 

3o 

207.9 

98.3 

9° 

262  .  2 

1  24.0 

5i 

46.i 

21.8 

in 

100.3 

47-5 

i7i 

1  54-  6 

73.i 

23  I 

208.8 

98.8 

291 

?,63  .  i 

124-4 

52 

53 

47-0 

47  •  0 

22.2 

22  .7 

12 

1  3 

101  .2 
102.2 

47-9 
48.3 

72 

73 

i55.5 
1  56.4 

73.5 
74.o 

32 

33 

209.7 

2IO.6 

99.2 
99.6 

93 

264.0 
264.9 

124.8 
125.3 

54 

48.8 

23.1 

i4 

103.1 

48.7 

74 

1  57.3 

74-4 

M 

211.  5 

100.0 

94 

265.8     I2D.7 

55 
56 

58 

49.7 
5o.6 
5i.5 
52  4 

2.3.5 
23.9 
24-4 

24  8 

1  5 

16 

17 
18 

104.0 
104.9 
io5.fi 

io6.7 

49.2 

49.6 
5o.o 
5o.5 

75 
76 

77 
78 

1  58.3 

159.1 
160.0 
160.9 

74-8 

75.3 

75-7 
76.1 

35 
36 
37 
38 

212.4 

ai3.3 

2l4-2 
215.1 

i  co.  5 
100.9 
toi.3 
101.8 

$ 

266  .  7 

26-7.6 

268  .  5 
269.4 

I  20.  1 
1266 
I270 

I  27  4 

53  3 

54.2 

25.2 

2.5.7 

20 

io7.6 
io8.5 

50.9 
5i.3 

79 
80 

idi.8 

162.7 

76.5 

77.0 

39 
4o 

ai6.i 

217.0 

102.2 
102.6 

99 
3oo 

270.3 

27I  .2 

I27.8 

i?8.3 

Dist. 

Den.  |   Lat. 

Dist. 

Dep.  1  Lat. 

Dist 

Dep.  1  Lat. 

Dist. 

Dep. 

Lat. 

Disi. 

Den.       Lai. 

NEbvE.?E.         S.E.byE.|E.         N.W.byW.ifW.         S.W.byW.JW.         (For  V>  Points. 

Page  10]                                                            TABLE    I. 

Difference  of  Latitude  and  Departure  for  2£  Points. 

N.N.E.£E.                 N.N.W^W.                 S.S.E.^E.                 S.S.W.JW. 

Dist. 

Lat. 

Deo. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

La. 

Dep. 

I 

oo  .  9 

oo.5 

61 

53.8 

28.8 

121 

106.7 

57.o 

181 

159.6 

85.3 

241 

212.5 

ii3.6 

2 

01.8 

00.9 

62 

54  7 

29.2 

22 

1  07  .  6 

57.5 

82 

i6o.5 

85.8 

42 

2134 

u4.i 

3 

02.6 

01  .4 

63 

55.b 

29.7 

23 

io8.5 

58.o 

83 

161.4 

86.3 

43 

214  3 

u4.5 

4 

o3.5 

01  .9 

64 

56.4 

3o.2 

24 

109.4 

58.5 

84 

162.3 

86.7 

44 

215.2 

i  i5.o 

5 

04.4 

02  .4 

65 

57.3 

3o.6 

25 

I  10.2 

58.9 

85 

i63.2 

87.2 

45 

216  i 

1  1  5.5 

6 

o5.3 

02.8 

66 

58.2 

3i.i 

26 

II  I  .1 

59-4 

86 

164.0 

87.7 

46 

2  1  7  .  0 

1  16.0 

7 

06.2 

o3.3 

67 

59.i 

3i.6 

27 

[  12.  0 

59.9 

87 

164.9 

88.2 

47 

217.8 

116.4 

8 

07.1 

o3.8 

68 

60.0 

32.1 

28 

112.9 

6o.3 

88 

i65.8 

88.6 

48 

218.7 

16.9 

9 

07.9 

04.2 

69 

60.9 

32.5 

29 

n3.8 

60.8 

89 

166.7 

89.1 

49 

219.6 

17-4 

10 

08.8 

04.7 

70 

6,.  7 

33.o 

3o 

114.6 

6r.3 

9° 

167.6 

89.6 

5o 

220.5 

57.8 

1  1 

09.7 

05.2 

?i 

62.6 

33.5 

i3i 

ii5.5 

61.8 

191 

i68.4 

90.0 

25l 

221  .4 

i8.3 

12 

10.6 

o5.7 

72 

63.5 

33.9 

32 

116.4 

62.2 

92 

169.3 

90.5 

52 

222.2 

18.8 

i3 

1  1  .5 

06.  i 

?3 

64  ..4 

34-4 

33 

n7.3 

62.  7 

93 

170.2 

91.0 

53 

223.1 

i9.3 

i4 

12.3 

06.6 

74 

65.3 

34.9 

34 

118.2 

63.2 

94 

171.1 

91.5 

54 

224.0 

119.7 

i5 

l3.2 

07.1 

75 

66.1 

35.4 

35 

1  19.  1 

63.6 

95 

172.0 

91.9 

55 

22.4.9 

120.2 

16 

14.1 

o7.5 

76 

67.0 

35.8 

36 

119.9 

64.1 

96 

I72.9 

92.4 

56 

225.8 

I20.7 

i? 

1  5.0 

08.0 

77 

67:9 

36.3 

37 

120.8 

64.6 

97 

173.7 

92.9 

57 

226.  7 

121.  1 

18 

i5,o 

o8.5 

78 

68.8 

36.8 

38 

121.7 

65.i 

98 

174-6 

93.3 

58 

227.5 

121.  6 

X9 

16.8 

09.0 

79 

69.7 

37.2 

39 

122.6 

65.5 

99 

i75.5 

93.8 

59 

228.4 

I  22.  1 

20 

.7.6 

09.4 

80 

70.6 

37.7 

4o 

123.5 

66.  o 

200 

176.4 

94-3 

60 

229.3 

122.6 

21 

i8.5 

09.9 

81 

71-4 

38.2 

i4i 

124.4 

66.5 

201 

177.3 

94-8 

261 

230.2 

123.0 

22 

19.4 

10.4 

82 

72.3 

38.7 

42 

125.2 

66.9 

02 

178.1 

95.2 

62 

231.1 

123.5 

23 

20.3 

10.8 

83 

73.2 

39.i 

43 

126.1 

t7.4 

03 

I79.0 

95.7 

63 

23l  .9 

124.0 

24 

21  .2 

n.  3 

84 

74.i 

39.6 

44 

127.0 

67-9 

04 

179-9 

96.2 

64 

232.8 

124.4 

25 

22.0 

ri.8 

85 

75.o 

4o.i 

45 

127.9 

68.4 

o5 

180.8 

96.6 

65 

233.7 

124.9 

26 

22.9 

12.3 

86 

75.8 

4o.5 

46 

128.8 

68.8 

06 

181.7 

97.1 

66 

234.6 

12.5.4 

27 

23.8      I2.7 

87 

76.7 

4  i.o 

47 

120.6 

69.3 

07 

182.6 

97-6 

67 

235.5 

i  s5.o 

23 

24-7 

l3.2 

88 

77-6 

4i.5 

48 

i3o.5 

69.8 

08 

i83.4 

98.1 

68 

236.4 

,26.3 

29 

25.6 

.3.7 

89 

78.5 

42.0 

49 

i3i.4 

•70.2 

09 

i84.3 

98.5 

69 

237.2 

126.8 

3o 

26.5 

14.1 

90 

79-4 

42.4 

5o 

i3a.3 

70-7 

10 

i85.2 

99.0 

70 

2.38  .  i 

127.3 

3i 

a7.3 

14.6 

9> 

8o.3 

42.9 

i5i 

i33.2 

71.2 

211 

186.1 

99-5 

271 

2.39.0 

127.7 

32 

28.2 

i5.i 

92 

81.1 

43.4 

52 

1  34.  1 

71-7 

12 

187.0 

99-9 

73 

239.9 

12.8.2 

33 

29.1 

i5.6 

93 

82.0 

43.8 

53 

i34.Q 

72.1 

13 

187.8 

io(9.4 

73 

240.8 

128.7 

34 

3o.o 

16.0 

94 

82.9 

44-3 

54 

i35.8 

72.6 

14 

188.7 

100.9 

74 

241.6 

129.2 

35 

3o.9 

i6.5 

95 

83.8 

44-8 

55 

i36.7 

73.i 

i5 

189.6 

101.4 

75 

242.5 

129.6 

36 

3i.7 

17.0 

96 

84-7 

45.3 

56 

i37.6 

73.5 

16 

190.5 

101.8 

76 

243.4 

i3o.i 

37 

3>..G 

:7.4 

97 

85.5 

45.7 

57 

i38.5 

74-o 

17 

191  .4 

102.3 

77 

244.3 

1  36.6 

38 

33.5 

17.9 

98 

86.4 

46.2 

58 

139.3 

74-5 

18 

192.3 

102.8 

78 

245.2 

1  3  1  .0 

39 

34.4 

18.4 

99 

87.3 

46.7 

59 

1  40  .  2 

75.o 

]9 

193.1 

IO3.2 

79 

246.1 

i3i.5 

4o 

35.3 

18.9 

100 

88.2 

47-1 

60 

i4i  .  i 

75-4 

20 

194.0 

io3.7 

80 

246.9 

1  32.0 

4i 

36.2 

i9.3 

101 

89.1 

47-6 

~i6T 

142  .0 

75-9 

22.1 

194.9 

104.2 

281 

24-7.8 

1  32.  5 

42 

37.o 

19.8 

02 

90.0 

48.1 

62 

142.9 

76.4 

22 

195.8 

i«4-7 

82 

248.  7 

I  3  2  .9 

43 

37-9 

20.3 

o3 

90.8 

48.6 

63 

i43.8 

76.8 

23 

196.7 

io5.i 

83 

249.6 

1  33.4 

44 

38.8 

20.7 

o4 

91.7 

49.0 

64 

i44.6 

77-3 

24 

197.6 

io5.6 

84 

25o.5 

133.9 

45 

39-7 

21  .2 

o5 

92.6 

49-5 

65 

i45.5 

77-8 

25 

198.4 

1  06.  i 

85 

25i.3 

1  34.3 

46 

4o.6 

21.7 

06 

93.5 

5o.o 

66 

i46.4 

78.3 

26 

199.3 

i  o6.5 

86 

252.2  1   I  34.8 

47 

4i.5 

22.2 

07 

94-4 

5o.4 

67 

i47-3 

78-7 

27 

2OO  .  2 

I07.0 

87 

253.1 

1  35.3 

48 

42.3 

22.6 

08 

95.2 

5o.9 

68 

i48.2 

79.2 

28 

201  .1 

io7.5 

88 

254.o 

i35.« 

49 

43.2 

23.1 

09 

96.1 

5i.4 

69 

149.0 

79-7 

29 

202.0 

10-7.9 

89 

2.54.9 

i36.2 

5o 

44.i 

23.6 

10 

97.0 

5i.9 

7° 

i49-9 

80.  i 

3o 

202.8 

108.4 

9° 

255.8 

1  36- 

5i 

45  o 

24.0 

in 

97-9 

52.3 

171 

i5o.8 

80.6 

23l 

203.7 

108.9 

291 

256.6 

l37-2 

52 

45  o 

24.5 

12 

98.8 

52.8 

72 

i5i.7 

81.1 

32 

204.6 

109.4 

92 

257.5 

i37.6 

53 

46.7 

25.0 

i3 

99-7 

53.3 

73 

i52.6 

81.6 

33 

2o5  .  5 

109.8 

93 

258.4 

1  38.i 

54 

47-6 

25.5 

r4 

100.5 

53.7 

74 

i53.5 

82.0 

34 

206.4 

i  io.3 

94 

2.59.3 

1  38.  6 

55 

48.5 

2.5.9 

i5 

101  .4 

54.2 

75 

i54.3 

82.5 

35 

207.3 

1  10.8 

95 

260.2 

139.1 

56 

49.4 

26.4 

16 

1  02  .3 

54.7 

76 

i55.2 

83.o 

36 

208.1 

I  I  1.2 

96 

26.1  .0 

139.5 

57 

5o.3 

26.9 

17 

103.2 

55.2 

77 

i56.i 

83.4 

37 

2.09.0 

III.7 

97 

261  .9 

i4o.-j 

58 

5i.a 

27J 

18 

io4-  1 

55.6 

78 

i57.o 

83.9 

38 

209.9 

I  12.2 

98 

262.8 

i4o  5 

59 

52.0 

27.8 

19 

104.9 

56.i 

79 

157.9 

84.4 

39 

210.8 

rra.7 

99 

263.7 

1409 

60 

52.9 

28.3 

20 

io5.8 

56.6 

80 

1  58  .  7 

84.9 

4o 

211  .7 

u3.i 

3oo 

264.6 

r4i-4 

bist 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat 

Dist.j    Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

N.E.byE.A>E.        S.E.byE.^E.        N.W.byW.^W.        S.W.byW.^W.        [For  o£  Points. 

TABLE    I.                                                               [Page  u 

Difference  of  Latitude  and  Departure  for  2|  Points. 

N.N.E4E.                 N.N.W.fW.                S.S.E.JE.                S.S.W.|W. 

Oist.l  Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist.     Lat. 

Dep. 

Dist.     Lat.    '  Dep. 

Dist.I    Lat.   [   Dep. 

I 

00.9 

oo.5 

61 

52.3 

3i.4 

121 

io3.8 

62.2 

181 

i55.2 

Q3.1 

24  1 

206.7 

123.9 

2 

3 

4 

01  .7 
02.6 

o3.4 
o4.3 

01  .0 
oi.5 

02.1 
02.6 

62 
63 
64 
65 

53.2 
54.o 
54-9 
55.8 

31.9 

32.4 
32.9 
33.4 

22 
23 

24 
25 

104.6 
u.5.5 
106.4 
107.2 

62.7 
63.2 
63.7 
64-3 

82 
83 
84 
85 

i56.i 
157.0 
i57.8 
i58.7 

93.6 
94-1 
946 
95.1 

42 

43 
44 
45 

207.6 

208.4 

209.3 

2  1  0  .  I  i 

124-4 
124.9 
125.4 

*  ?6  o 

6 

7 
8 

o5.i 

06.0 
06.9 

o3.i 
o3.6 
04.  i 

bb 
67 
68 

56.6 

57.5 
58.3 

33.9 
34-4 
35.o 

26 
27 
28 

108.1 
108.9 
109.8 

64.8 
65.3 
65.8 

86 
87 
88 

i59.5 
160.4 
i6i.3 

956 

96,1 

967 

46 

47  ! 
48] 

21  1  .0 
21  I  .9 

2  1  Z  .  7 

126.5 

127.0 
127.5 

9 

07.7 

o4.6 

69 

59.2 

3b.5 

29 

110.6 

66.3 

89 

162.  i 

97.2 

49 

ai3.6 

128.0 

IO 

08.6 

o5.i 

70 

60.0 

3b.o 

3o 

in.  5 

66.8 

90 

i63.o 

97-7 

5o 

2i4.4 

128.5 

1  1 

09.4 

o5.7 

7i 

60.9 

36.5 

i3i 

112.4 

67.3 

191 

i63.8 

98.2 

25  1 

2i5.3 

1  29.0 

12 

io.3 

06.2 

72 

61.8 

37.o 

32 

II3.2 

67.9 

92 

164.7 

98-7 

52 

216.  i 

129.6 

i3 

I  I  .2 

06.7 

73 

62.6 

37.5 

33 

n4,i 

68.4 

93 

i65.5 

992 

53 

217.0 

i3o.i 

i  A 

12  .O 

07.2 

74 

63.5 

38.o 

34 

114.9 

68.9 

94 

166.4 

997 

54 

217.9 

i3o.6 

i5 

12.9 

07.7 

75 

64.3 

38.6 

35 

u5.8 

69.4 

95 

i67.3 

too  3 

55 

2l8.7 

i3i.i 

16 

l3.7 

08.2 

76 

65.2 

39.i 

36 

116.7 

69.9 

96 

168.1 

100.8 

56 

219.6 

i3i.6 

T7 

t4-6 

08.7 

77 

66.0 

39.6 

37 

u7.5 

70.4 

97 

169.0 

101.  3 

57 

220.4 

I32.I 

18 

ID.  4 

09.3 

?8 

66.9 

4o-i 

38 

118.4 

70.9 

9« 

169.8 

101.  8 

58 

221.3 

i3^.6 

19 

r6.3 

09.8 

79 

67.8 

4o.6 

\ 

1  19.2 

71.5 

99 

170.7 

IO2.3 

59 

222.2 

1  33.  2 

20 

17.2 

To.3 

80 

68.6 

4i.i 

4c< 

I  20.  I 

72.0 

200 

i7i.5 

102.8 

60 

223.0 

i33.7 

21 

18.0 

10.8 

81 

69.5 

4i.6 

i4i 

I2O-9 

72.5 

201 

172.4 

io3.3 

261 

223-9 

1  34.2 

22 

18.9 

u.  3 

82 

70.3 

42.2 

42 

121.  8 

73.0 

O2 

i73.3 

io38 

62 

224-7 

1  34-7 

23 

19.7 

n.  8 

83 

71.2 

42.7 

43 

122.7 

73.5 

o3 

i74.i 

io44 

63 

225.6 

i35.2 

24 

20.6 

12.3 

84 

72.0 

43.2 

44 

123.5 

74-0 

o4 

175.0 

104.9 

64 

226.4 

i35.7 

25 

21.  4 

12.9 

85 

72.9 

43.7 

45 

124.4 

74.5 

o5 

i75.8 

io54 

65 

227.3 

i36.2 

26 

22.3 

i3.4 

86 

73.8 

44.2 

46 

125.2 

76.1 

06 

176.7 

io5  9 

66 

228.2 

1  36.8 

27 

23.2 

i3.9 

87 

74.6 

44-7 

47 

I26.I 

75.6 

°7 

177.5 

106.4 

67 

229.0 

i37.3 

28 

24-0 

i4.4 

88 

75.5 

45.2 

48 

126.9 

76.1 

08 

178.4 

106  9 

68 

229.9 

i37.8 

29 

24.9 

i4-9 

89 

76.3 

45.8 

49 

127.8 

76.6 

09 

179.3 

1074 

69 

23o.7 

i38.3 

3o 

25.7 

i5.4 

90 

77.2 

46.3 

5o 

128.7 

77.1 

10 

180.1 

108.0 

7° 

23i.6 

1  38.8 

3i 

26.6 

i5.o 

91 

78.1 

46.8 

i5i 

129.5 

77-6 

211 

181.0 

io8.5 

271 

232.4 

i39.3 

32 

27-4 

i6.5 

92 

78.9 

47.3 

52 

i3o.4 

78.1 

12 

181.8 

109.0 

72 

233.3 

i39.8 

33 

28.3 

17.0 

93 

79.8 

47.8 

53 

l3l  .2 

78.7 

i3 

182.7 

109.5 

73 

234  .  2 

1  4o.4 

34 

29.2 

i7.5 

94 

80.6 

48.3 

54 

I32.I 

79.2 

i4 

i83.6 

I  1  0.0 

74 

235.o 

1  40.9 

35 

3o.o 

18.0 

95 

8i.5 

48.8 

55 

l32.9 

79-7 

i5 

i84.4 

i  io.  5 

7& 

2.35.9 

i4i-4 

36 

30.9 

i8.5 

06 

82.3 

49.4 

56 

i33.8 

80.2 

16 

i85.3 

III  0 

76 

236.  7 

141.9 

37 

3T.7 

10.  0 

97 

83.2 

49.9 

57 

i34.7 

80.7 

17 

186.1 

1  1  1.  6 

77 

2,37.  6 

142.4 

38 

32.6 

TO    5 

0« 

84.i 

5o.4 

58 

i35.5 

81.2 

18 

187.0 

112.  1 

78 

238.4 

1429 

3o 

33.5 

20.1 

99 

84-9 

5o.9 

59 

i36.4 

81.7 

19 

187.8 

II2.6 

79 

239.3 

1  43.  4 

4o 

34.3 

20.6 

100 

85.8 

5i.4 

60 

l37.2 

82.3 

20 

188.7 

ii3.i 

bo 

240  .  2 

143-9 

4i 

35.2 

21  .  I 

101 

86.6 

5i.o 

161 

i38.i 

82.8 

221 

189.6 

1  1  3.6 

281 

241  .0 

i44-5 

42 

36.o 

21.6 

02 

87.5 

52.4 

62 

139.0 

83.3 

22 

190.4 

n4-i 

82 

241.9 

i45.o 

43 

36.9 

22  .  I 

o3 

88.3 

53.o 

63 

i39.8 

83.8 

23 

1QI  .3 

n4-6 

83 

242.  7 

i45.5 

44 

3-4 

22.6 

o4 

89.2 

53,5 

64 

i4o.7 

84.3 

24 

192.1 

Il5.2 

84 

243.6 

146.0 

45 

38.6 

23.1 

o5 

90.1 

54-0 

65 

i4i.5 

84.8 

25 

193.0 

u5.7 

8b 

244.5 

1  46.  5 

46 
47 
48 

g 

39.5 
4o.3 
41.2 
42.0 
42.9 

23.6 
24.2 

24-7 
25.2 

25.7 

06 
07 
08 
09 

IO 

90.9 
9,  .8 

02.6 

93.5 

94.4 

54-5 
55.0 
55.5 
56.o 
56.6 

66 

67 
68 
69 
70 

142.4 
i43.2 
i44-i 
1  45.o 
i45.8 

85.3 

85.9 
86.4 
86.9 
87.4 

26 

27 
28 

?9 

3o 

i93.8 

194.7 
i95.6 
196.4 
197.3 

116.2 
116.7 
117.2 

117.7 
118.2 

8b 

87 
88 
89 
90^ 

245.3 
246.2 
247-0 
247.9 
248.7 

1  47-0 
147-5 

i48.i 
i48.6 
149.1 

5i 

52 

53 
54 
55 
56 
57 
58 
59 
60 

43.7 
44-6 
45.5 
46.3 

47-2 

48.o 
48.9 
49.7 
5o.6 
5i.5 

26.2 
26.7 
27.2 
27.8 
28.3 
28.8 
29.3 
29.8 
3o.3 
3o.8 

1  1  1 

12 

i3 
i4 
i5 
16 

17 
18 

J9 

20 

95.2 

96.1 
96.9 
97.8 
98.6 
99.5 

100.4 

IOI  .2 
IO2  .  I 
IO2.9 

57.i 
57.6 
58.i 
58.6 
59.i 
59.6 
60.2 
60.7 
61.2 
61.7 

171 
72 
73 
74 
75 
76 

77 
78 

79 
80 

146.7 
i47.5 
i48.4 
149-2 
iSo.i 
i5i  .0 
i5i.8 

152.7 

i53.5 

i54-4 

87.9 
88.4 
88.9 
89.5 
90.0 
9o.5 
91.0 
9i.5 
92.0 
92.5 

a3i 

32 

33 

34 
35 
36 

37 
38 
39 
4o 

198.1 
199.0 
199.9 
200.7 

201    6 

202.4 

2o3.3 
204  .  i 

205.0 

205.9 

118.8 
119.3 
119.8 
1  20.  3 

120.8 
I  2  1.  3 
I2I.8 

122.4 
122.9 
123.4 

291 

9l 
93 

94 

95 
96 

97 
98 

99 
3oo 

249.6 
aSo.S 
25[.3 

252.2 
253.0 
253-9 

254-7 
255.6 
256.5 
a57.3 

149-6 
i5o.i 
1  5o.fi 
iSi.i 
i5i.7 
i5a.a 
1  52.7 
i53.2 
1  53.7 
i54.2 

5iZ 

1  Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist 

Dep.  '    Lat. 

N.E.byE.|E. 

S.E.byE^E.        N.W.byW.|W.        S  W.byW.^W.       [For  5J  Points.^ 

Page  12]                                                                  TABLE    I. 

Difference  of  Latitude  and  Departure  for  3  Points. 

N.E.byN.                    N.W.byN.                    S.E.byS.                    S.W.byS. 

Dist.l  Lat. 
rloo.8 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

""6772" 

Dist. 

Lat. 

~i5oT 

Dep. 

Dist. 

Lat. 

Dep 

00.6 

61 

5o.7 

33.9 

121 

100.6 

181 

100.6 

241 

200.4 

i33.9 

2     01  .7 

01  .  1 

62 

5i.6 

34-4 

22 

IOI  .4  |     67.8 

82 

i5i.3 

IOI.  I 

42 

201  .2 

1  34  .4 

3   02.5 

01  .7 

63 

52.4 

35.o 

23 

102.3 

68.3 

83 

l52.2 

101.7 

43 

202.0 

i35.o 

4 

o3.3 

O2.  2 

64 

53.2 

35.6 

24 

io3.i 

68.9 

84 

i53.o 

102.2 

44 

2O2  .9 

i356 

5 

04.2 

02.  S 

65 

54.0 

36.i 

25 

io3.9 

69.4 

85 

i53.8 

102.8 

45 

2O3."7 

i36i 

6 

o5.o 

o3  3 

66 

54-9 

36.7 

26 

io4.8 

70.0 

86 

i54-7 

io3.3 

46 

204.5 

1  36.7 

7 

o5.8 

03.9 

67 

55.7 

37.2 

27 

io5.6 

70.6 

87 

i55.5 

103.9 

47 

205.4 

I37.2 

8 

06.7 

o4-4 

68 

56.5 

37.8 

28 

106.4 

71.1 

88 

i56.3 

104.4 

48 

206.2 

137.8 

9 

07-5 

o5.o 

69 

57-4 

38.3 

29 

107.3 

71-7 

89 

i57.i 

io5.o 

49 

207.0 

1  38.3 

10 

08.3 

o5.6 

70 

58.2 

38.9 

3o 

108.  i 

72.2 

90 

i58.o 

io5.6 

5o 

207.9 

i38-9 

ii 

09.1 

06.  i 

71 

59.0 

39.4 

i3i 

108.9 

72.8 

191 

i58.8 

1  06.  i 

25l 

268.7 

1  39.4 

i  a 

10.  0 

06.- 

72 

59.9 

4o.o 

32 

109.8 

73.3 

92 

159.6 

106.7 

52 

209.5 

i4o.o 

i3 

10.8 

07.2 

73 

60.7 

4o.6 

33 

1  10.6 

73-9 

93 

i6o.5 

107.2 

53 

210.4 

i4o.6 

i4 

ti.6 

07.8. 

74 

6i.5 

4i.i 

34 

111.4 

74-4 

94 

i6i.3 

107.8 

54 

211  .2 

i4i.i 

1  5 

12.5 

o8.3 

75 

62.4 

41.7 

35 

112.  2 

75.o 

95 

162  .  i 

io8.3 

55 

212.0 

i4i-7 

16 

i3.3 

08.9 

-6 

63.2 

42.2 

36 

ii3.i 

75.6 

96 

i63.o 

108.9 

56 

212.9 

142.2 

n 

i4-i 

09.4 

77 

64.0 

42.8 

37 

ii3.9 

76.1 

97 

i63.8 

109.4 

5^ 

213.7 

142.8 

18 

1  5.o 

1  0.0 

78 

64-9 

43.3 

38 

114.7 

76.7 

98 

164.6 

1  10.0 

58 

2i4.5 

i43.3 

19 

i5.8 

10.6 

79 

65.7 

43.9 

39 

ii5.6 

77.2 

99 

i65.5 

1  1  0.6 

59 

2i5.4 

143.9 

:\o 

16.6 

ii  .  i 

80 

66.5 

44-4 

4o 

116.4 

77-8 

200 

i66.3 

1  1  i.i 

60 

216.2 

1  44-4 

21 

T7.5 

11.7 

81 

67.3 

45.o 

i4i 

117.2 

78.3 

201 

i67.  i 

111.7 

261 

217.0 

i45.o 

22 

i8.3 

12.2 

82 

68.2 

45.6 

42 

118.1 

78.9 

02 

168.0 

112.  2 

62 

217.8 

i45.6 

23 

19.1 

12.8 

83 

69.0 

46.i 

43 

118.9 

79-4 

03 

168.8 

II2.8 

63 

218.7 

1  46.  i 

24 

20.0 

i3.3 

84 

69.8 

46.7 

44 

119.7 

80.0 

o4 

169.6 

ii3.3 

64 

219.5 

i46.7 

2.5 

20.8 

i3.9 

85 

70.7 

47-2 

45 

120.6 

80.6 

o5 

i7o.5 

113.9 

65 

220.3 

147.2 

26 

21  .6 

i4-4 

86 

7i.5 

47-8 

46 

121  .4 

81.1 

06 

i7i.3 

n4.4 

66 

221  .2 

i4',  B 

27 

22.4 

i5.o 

87 

72.3 

48.3 

47 

122.2 

81.7 

07 

172.1 

i  i5.o 

67 

222  .O 

i48.3 

28 

23.3 

i5.6 

88 

73.2 

48.9 

48 

123.  I 

82.2 

08 

172.9 

1  1  5.6 

68 

222.8 

148.9 

29 

24.1 

16.1 

89 

74-0 

49.4 

49 

123.9. 

82.8 

09 

173.8 

1  16.1 

69 

223.7 

149.4 

3o 

24.9 

16.7 

9° 

74-8 

5o.o 

5o 

124.7 

83.3 

10 

174-6 

116.7 

70 

224.5 

iSo.o 

3i 

25.8 

17.2 

91 

75-7 

5o.6 

i5i 

125.6 

83.9 

211 

175.4 

117.2 

271 

225.3 

i5o.6 

32 

26.6 

17.8 

92 

76.5 

5i.i 

52 

126.4 

84-4 

12 

176.3 

117.8 

72 

226.2 

i5i.i 

33 

27.4 

i8.3 

93 

77-3 

5i.7 

53 

127.2 

85.o 

i3 

i77-i 

1  18.3 

73 

227.0 

i5i.7 

34 

28.3 

18.9 

94 

78.2 

52.2 

54 

128.0 

85.6 

i4 

177-9 

118.9 

74 

227.8 

iSa.a 

35 

29.1 

19.4 

95 

79.0 

52.8 

55 

128.9 

86.1 

i5 

178.8 

119.4 

75 

228.7 

i5a.8 

36 

29.9 

20.  o 

96 

79-8 

53.3 

56 

129.7 

86.7 

16 

1-79.6 

120.0 

76 

229.5 

i53.3 

37 

3o.8 

20.6 

97 

80.7 

53.9 

57 

i3o.5 

87.2 

17 

180.4 

120.6 

77 

23o.3 

1  53.  9 

38 

3i.6 

21  .1 

98 

8i.5 

54-4 

58 

i3i.4 

87.8 

18 

i8i.3 

121.  1 

78 

23I.I 

1  54-4 

39 

32.4 

21.7 

99 

82.3 

55.o 

59 

I  32.  2 

88.3 

19 

182.1 

I2I.7 

79 

232.0 

i55.o 

4o 

33.3 

22.2 

100 

83.i 

55.6 

60 

i33.o 

88.9 

20 

182.9 

122.2 

80 

232  ,8 

i55.6 

4i 

34.i 

22.8 

IOI 

84.0 

56.i 

161 

i33.9 

89.4 

221 

i83.8 

122.8 

281 

233.6 

1  56.i 

42 

34-9 

23.3 

02 

84.8 

56.7 

62 

1  34-7 

90.0 

22 

184.6 

123.3 

82 

234.5 

1  56.7 

43 

35.8 

23.9 

o3 

85.6 

57.2 

63 

i35.5 

90.6 

23 

i85.4 

123-9 

83 

235.3 

137-2 

44 

36.6 

24.4 

04 

86.5 

57.8 

64 

1  36.4 

91.1 

2,4 

186.2 

124-4 

84 

236.1 

i578 

45 

37.4 

25.0 

o5 

87.3 

58.3 

65 

I37.2 

91.7 

25 

187.1 

125.0 

85 

237.0 

1  58.3 

46 

38.2 

25.6 

06 

88.1 

58.9 

66- 

1  38.o 

92.2 

26 

187-9 

125.6 

86 

237.8 

1  58.9 

4? 

39.i 

26.1 

07 

89.0 

59.4 

67 

1  38.9 

92.8 

27 

188.7 

126.1 

87 

238.6 

,59.4 

48 

39.9 

26.7 

08 

89.8 

60.0 

68 

139.7 

93.3 

28 

189.6 

126.7 

88 

239.5 

1  60.0 

49 

40.7 

27.2 

09 

90.6 

60.6 

69 

i4o.5 

93.9 

29 

190.4 

12-^.2 

89 

24o.3 

160.6 

5o 

4i.6 

27.8 

10 

91.5   61.1 

70 

i4i.3 

94-4 

3o 

191  .2 

127.8 

9° 

241.1 

161.1 

5i 

42.4 

28.3 

III 

92.3 

61.7 

171 

142.2 

95.0 

23  I 

192.1 

1*8.3 

291 

242.0 

161.7 

52 

43.2 

28.  Q 

12 

93.i 

62.2 

72 

i43.o 

95.6 

32 

192.9 

128.9 

92 

242.8 

162.2 

53 

44.i 

29.4 

i3 

94.0 

62.8 

73 

i43.8 

96.1 

33 

198.7 

129.4 

93 

243.6 

162.8 

54 

44.9 

3o.o 

1  4 

94-8 

63.3 

74 

i44.7 

96.7 

34 

194.6 

i3o.o 

94 

244.5 

1  63.3 

55 

45.7 

3o.6 

i5 

95.6 

63.9 

75 

i45.5 

97-2 

35 

i95.4 

i3o.6 

95 

;45.3 

i63.9 

56 

46.6 

3i.i 

16 

96.5 

64.4 

76 

1  46.3 

97-8 

36 

196.2 

i3i.i 

96 

i46.i 

i64-4 

57 

47-4 

3i.7 

17 

97.3 

65.o 

77 

147.2 

98.3 

37 

197-1 

i3i.7 

97 

246.9 

1  65.o 

58 

48.2 

32.2 

18 

98.1 

65.6 

78 

i48.o 

98.9 

38 

197.9 

132.2 

98 

247.8 

1  65.6 

59 

49.1 

32.8 

19 

98.9 

66.1 

79 

i48.8 

99.4 

39 

198.7 

i32.8 

99 

248.6 

1  66.  i 

60 

49.9 

33.3 

20 

99.8 

66.7 

80 

149.7 

roo.o 

4o 

199.6 

i33.3 

3oo 

249.4 

166.7 

Dist. 

Dep. 

Lai. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist/ 

Dep. 

Lat. 

Dist.     Hep. 

Lat. 

N.E.byE.               S.E.byE.               N.W  byW.               S.W.byW.           [For  f,  P,,int~. 

TABLE  I.                                             ii^u1 

Difference  of  Latitude  and  Departure  for  3]  Points. 

N'E 

4iN. 

N.W.3N.                    S.E-|S                     gw,s 

Dist 

: 

4 
5 
6 
7 
B 

9 

10 

00.fi 

01.6 
02  .i. 

03.2 

04.0 
04.8 
o5.6 
106.4 
07.2 
08.0 

joe.  6 

01  .2 

ni  .8 
02.4 
o3.o 
o3.6 
Io4.2 

04.8 

o5.4 
06.0 

Dist 

6^ 

6< 
6C 
67 
68 
69 
70 

.    Lat. 

49.c 
49.8 
5o  C 
5i.4 

52.2 

53.o 
53.8 
54.6 
55.4 
56.2 

Dep 
~:36T3 
36.9 
3;/) 
38.i 
38.7 
39.3 
3y.o 
4o.5 

4  1.  7 

•   Dist.     Lat. 

Dep. 
72.1 

72.7 
733 
73.9 
74-5 
75.i 
75.7 
76.2 
76.8 
77-4 

Dis 

181 

82 
8,3 
84 
85 
86 
87 
88 
89 
90 

.     Lat. 

"  145.4 
146.2 
147.0 

i48;< 

149.4 
i5o.2 
iSi.o 
i5r.8 
162.6 

Dep 

Dist 
"241 

42 

43 
44 
45 

46 
47 
48 
49 
5o 

.     Lat. 

Dep. 

143.6 
M4.2 

144.3 

145.4 

1  4'')-  9 

146.5 

i48J 
148.9 

121 
22 
23 
24 
2.5 
26 
27 
2.8 
29 

3o 

97.2 
98.0 
98.8 
99.6 
100.4 

IOI  . 
102. 
102. 

io3. 

104. 

107. 
1  08. 
'  109 
109. 

110. 

no. 
in.< 

112. 
112. 

u3. 

i93.6 
195.2 

196!? 
197.6 
198.4 
199.2 

2OO.  0 
200.8 

1  1 

12 

i3 

i4 

10 

08.8 
09.6 
10.4 

I  I  .2 
12.0 

12  9 

06.6 

07- 
07.  7 
08.3 
08.0 
09.5 

71     57.0 

72)57.6 
73    58.6 
74  1  59  4 

70   6i!o 

42.3 
|4?..o 
43.5 

44-1 
44-7 
45.3 

32. 

33 
34 
35 
36 

105. 

106. 
106. 
107. 
108. 
109. 

78.0 
78.6 
79.2 
79.8 
80.4 
8r.o 

191 

9? 
9' 

i53.4 
i54.2 
i55.o 
i55.8 
i56.6 
i57  4 

n3. 

u  5.6 
116. 
116.8 

52 

53 
54 
55 

201  .6 

202.4 
203.2 
204.0 
2.04.8 

2o5  6 

149.5 
iSo.i 
i5o.7 
i5i.3 
l5l.o 
1  62  5 

17 
18 

'9 

i3.7 
i4.5 
i5.3 

10.  I 
LO.7 

II.: 

77 
78 
79 

61.8 

62.7 
63.5 

45.9 
46.5 
47-1 

37 
38 
39 

IIO.O 

no.  8 
1  1  1  .6 

81.6 
82.2 
82.8 

99 

i58.2 
i59.o 
i59.8 

117.4 
117.9 
n8.5 

57 
58 

206.4 

207  .  2 
208.0 

1  53.  i 

.53.7 
1  54.3 

20 

16.1 

1  1  .9 

80 

64.3 

47-7 

4o 

1  12.4 

83.4 

200 

160.6 

119. 

6c 

1  54  9 

21 

16.9 

ia.5 

81 

65.i 

48.3 

i4i 

n3.j 

84.0 

201 

161  .4 

119.7 

261 

209.6 

1  55.5 

22 

17-7 

!  1  3  .  i 

82 

65.9 

48.8 

42 

1  14- 

84.6 

02 

162.2 

I2O.3 

62 

2  IO   4 

1  56  i 

23 

i8.5 

i3.7 

83 

66.7 

49-4 

43 

114.9 

85.2 

o3 

1  63.  i 

120.0 

63 

2M.2 

166.7 

24 

i9.3 

i4-3 

84 

67.5 

5o.o 

44 

ii5.7 

85.8 

o4 

i63.9 

121.  5 

64 

2  1  2  .O 

167.3 

25 

20.  I 

r4.9 

85 

68.3 

5o.6 

45 

n6.5 

86.4 

o5 

164.7 

122.  1 

65 

212.8 

157.9 

26 

20.9 

i5.5 

8( 

69.1 

5i.a 

46 

117.3 

87.0 

06 

1  65.  5 

122.7 

66 

2  1  3  .  7 

1  58.5 

27 

21.7 

16.1 

87 

69.9 

5i.8 

47 

118. 

87.6 

07 

i66.3 

123.3 

67 

214.5 

iS^.i 

28 

22.5 

i6.7 

88 

70.7 

52.4 

48 

118.9 

88.2 

08 

167.1 

I23.9 

68 

2i5.3 

159.6 

29 

23.3 

17.3 

89 

•71.5 

53.o 

49 

119.7 

88.8 

09 

167.9 

124.5 

'  69 

216.  1 

i6o.a 

3o 

24.1 

17.9 

9< 

72.3 

53.6 

5o 

120.5 

89.4 

10 

168.7 

125.1 

70 

216.9 

160.8 

3i 

24.9 

i8.5 

9' 

73.i 

54.2 

i5i 

121  .3 

90.  r 

21  I 

169.5 

125.7 

271 

217.7 

161.4 

32 

'25.7 

19.1 

9a 

73.9 

54.8 

52 

122.  I 

90.5 

12 

170.3 

126.3 

73 

218.5 

162.0 

33 

20.5 

19.7 

93 

74.7 

55.4 

53 

122.  0 

91,1 

I  3 

171.1 

126.9 

7.3 

219  3 

162.6 

34 

27.3 

20.3 

94 

75.5 

56.o 

54 

123.7 

9'-7 

14 

171.9 

127.5 

74 

220.  i 

i63.2 

35 

28.1 

20.8 

93 

76.3 

56.6 

55 

12.4.5 

92.3 

i5 

172.7 

128.1 

75 

220.9 

.63.8 

36 

28.9 

21.4 

96 

77.  r 

67.2 

56 

125.  C 

92.9 

1  6 

i73.5 

12.8.7 

76 

221  .7 

164.4 

37 

29-7 

22.0 

97 

77-9 

57.8 

57 

126.  1 

93.5 

17 

'74-3 

129.3 

77 

222.5 

1  65.o 

38 

3o.5 

22.6 

98 

78.7 

58.4 

58 

126.9 

94.1 

18 

i75.i 

129.9 

78 

223.3 

i65.6 

3o 

3,.  3 

23.2 

99 

79-5 

59.0 

59 

127.7 

94-  7 

'9 

175.9 

i3o.5 

79 

224.1 

166.2 

4o 

32.  I   I 

23.8 

IOO 

8o.3 

59.6 

60 

128.5 

95.3 

20 

i76.7 

i3i.i 

80 

224.9 

1  66.8 

4i 

32.9 

24.4 

101 

8r.i 

60.2 

161 

129.3 

95  9 

221 

177-5 

i3r.6 

281 

225.7 

167.4 

4?. 

33.7 

25.0 

02 

81.9 

60.8 

62 

i3o.i 

96.5 

22 

178.3 

32.2 

8-2 

226.5 

168.0 

43 

3.4.5 

25.6 

o3 

82.7 

61.4 

63 

1  3o  .  9 

97.1 

2.3 

179-1  1  i3'?.S 

83 

227.3 

168.6 

44 

35.3 

26.2 

04 

83.5 

62.0 

64 

l3l.7 

97-7 

24 

'79-9 

1  33.  4 

84 

?'28.I 

169.2 

45 

36  i 

26.8 

o5 

84.3 

62.5 

65 

i32.5 

98.3 

2.5 

180.7 

1  34.0 

85 

228.9 

169.8 

46 

36  <; 

27.4 

06 

85.i 

63.i 

66 

i33.3 

98.9 

26 

i8r.5 

1  34.6 

86 

229.7 

170.4 

47 

37.8 

28  .0 

07 

85.9 

63.7 

67 

1  34.  i 

QQ.5 

27 

182.3 

i35.2 

87 

a3o.5 

171.0 

48 

38.6 

28.6 

08 

86,7 

64.3 

68 

134.9 

OO.l 

•28 

i83.i 

1  35.8 

88 

23.  .3 

1  7  1  .6 

49 

39.4 

29.2 

09 

87.5 

64-9 

69 

i35.7 

00.7 

a  9 

183.9 

•36.4 

89 

23'2  .  I 

172.2 

5o 

4o  .  2 

29.8 

10 

88.4 

65.5 

70 

i36.5 

oi.3 

3o 

i84.7 

i37.o 

90 

•2  b  .9 

I72.8 

5i 

4  1  .0 

3o.4 

III 

89.2 

66.1 

71 

i37.3 

01.9 

23l 

.85.5 

i37.6 

9' 

233.7 

l?3.3 

52 

4i.8 

3i.o 

12 

90.0 

66.7 

72 

i38.2 

02.5 

3? 

i86.3 

1  38.  2 

92 

234-^ 

•73-9 

53 

4^.6 

3  1.  6 

i3 

90.8 

67.3 

73 

39.0 

o3.i 

33 

187.1 

i38.8 

93 

235.3 

i-4.5 

54 

43-4 

32.2 

i4 

91.6 

67-9 

74 

39.8 

o3.7 

34 

188.0 

139.4 

94 

236.: 

i75.i 

55 

32.8 

i5 

92.4 

68.5 

75 

40.6 

04.2 

35 

188.8 

i4p.o 

95 

236.? 

i75.7 

56 

45.o 

33.4 

16 

93.2 

69-1 

76 

4i-4 

04.8 

36 

189.6 

i4o.6 

96 

i3?.7 

1  76.3 

57 

45.8 

34.o 

17 

94«o 

69-7 

77 

42.2 

o5.4 

37 

190.4 

.41.2 

97  1238.6 

176.0 

58 

46.6 

34.6 

18 

94-8 

7o.3 

78 

43.o 

06.0 

38 

191  .2 

i4i-8 

98 

>J9.4 

177.$ 

59 

47-4 

35.i 

19 

95.6 

70.9 

79 

43.8 

06.6 

39 

192.0 

i4'2.4 

99 

>4o    2 

178-1 

60 

48.2 

35.7 

20 

96.4 

80 

44-6 

07.2 

4o 

192.8 

i43.o 

oo    ' 

>4i  -o| 

178.7 

Dist., 

Dep.|   Lat. 

)  St. 

Dep; 

Lat. 

tet.l   Dep. 

.at. 

>ist.j    Dep. 

Lat. 

St. 

Dip. 

Lat. 

N.E.3E. 

S.E^E.                N.VV.^W.               S.W.:i\V.              [For  4J  Points. 

Pagel4|                                                                  TABLE    I. 

Difference  of  Latitude  and  Departure  for  3£  Points. 

N.E£N.                     N.W.iN.                     S.E.^S.                 S.W.^S. 

Dtst. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

00.8 

00.6 

61 

47-2 

38.7 

121 

93.5 

76.8 

181 

139.9 

ii4-8 

24  1 

186  3 

152.9 

2 

oi.5 

oi.3 

62 

47-9 

39.3 

22 

94.3     77.4 

82 

140.7 

ii5.5 

42 

187  i 

*53-5 

3 

02.3 

01  .0 

63 

48.7 

4o.o 

23 

p.i 

78.0 

83 

i4i.5 

116.1 

43 

187.8 

154.2 

4 

o3.i 

02.5 

64 

49.5 

4o.6 

24 

95.9 

78.7 

84 

142.2 

116.7 

44 

188.6 

IS4.8 

5 

03.9 

03.2 

65 

50.2 

41.2 

25 

96.6 

79.3 

85 

i43.o 

117.4 

45 

189.4 

1  55.4 

6 

04.6 

o3.8 

66 

5i  .0 

4i.Q 

26 

97-4 

79-9 

86 

i43.8 

118.0 

46 

190.2 

1  56.  i 

7 

o5.4 

o4.4 

67 

5i.8 

42.5 

27 

98.2 

80.6 

87 

i44.6 

118.6 

47 

190.9 

1  56.7 

8 

06.2 

o5.i 

68 

52.6 

43.i 

28 

98.9 

81.2 

88 

i45.3 

IIQ.3 

48 

191.7 

167.3 

9 

07.0 

o5.7 

69 

53.3 

43.8 

29 

99-7 

81.8 

89 

146.1 

119.9 

49 

192.5 

1  58.o 

10 

07.7 

o6.3 

_7_° 

54.1 

44-4 

3o 

loo.S 

82.5 

9° 

146.9 

120.5 

5o 

i93.3 

1  58.6 

ii 

o8.5'o7  o 

7i 

54-9 

45.o 

i3i 

101  .3 

83.i 

191 

147.6 

121.2 

25l 

194.0 

l59.2 

12 

09.3 

07.6 

72 

55.7 

45.7 

32 

102.  0 

83.7 

92 

i48.4 

I  2  1.  8 

52 

194  8 

i59.9 

i3 

10.  0 

08.2 

73 

56.4 

46.3 

33 

102.8 

84-4 

93 

149-2 

122.4 

53 

iy5.6 

lool? 

i4 

[0.8 

08.9 

74 

57.2 

46.9 

34 

io3.6 

85.o 

94 

iSo.o 

I  23.  1 

54 

,96.3 

161.1 

i5 

ii.  6 

o9.5 

75 

58.o 

47-6 

35 

io4-4 

85.6 

95 

i5o.7 

I23.7 

55 

197.1 

161.8 

16 

12.4 

10.2 

76 

58.7 

48.2 

36 

io5.  i 

86.3 

96 

i5i.5 

124.3 

56 

i97.9 

162.4 

i? 

i3.i 

10.8 

77 

59.5 

48.8 

37 

105.9 

86.9 

97 

i52.3 

125.0 

57 

198.7 

i63.o 

18 

13.9 

ii.  4 

78 

6o.3 

49.5 

38 

106.7 

87.5 

98 

i53.i 

125.6 

58 

199.4 

1  63.  7 

J9 

i4-7 

12.  I 

79 

61.1 

5o.i 

39 

io7.4 

88.2 

99 

i53.8 

126.2 

59 

2OO.  2 

1  64.3 

20 

i5.5 

I2.7 

80 

61.8 

5o.8 

4o 

108.2 

88.8 

200 

i54.6 

126.9 

60 

2OI  .O 

164.9 

21 

16.2 

i3.3 

81 

62.6 

5i.4 

i4i 

109.0 

89.4 

201 

i55.4 

127.5 

261 

201.8 

1  65.  6 

22 

17.0 

14.0 

'82 

63.4 

52.0 

42 

109.8 

90.1 

02 

i56.i 

128.1 

62 

202.5 

166.2 

23 

17.8 

14.6 

83 

64.2 

52.7 

43 

iio.S 

90.7 

o3 

i56-9 

128.8 

63 

2o3.3 

1  66.  8 

24 

18.6 

l5.2 

84 

64-9 

53.3 

44 

1  1  1  .3 

91.4 

o4 

i57-7 

129.4 

64 

204.1 

i67.5 

25 

i9.3 

i5.o 

85 

65.? 

53.9 

45 

ii  j.  i 

92.0 

o5 

i58.5 

i3o.i 

65 

204.8 

168.1 

26 

20.1 

i6.5 

86 

66.5 

54-6 

46 

1  12.9 

92.6 

06 

159.2 

i3o.7 

66 

2o5.6 

168.7 

27 

20-9 

17.1 

87 

67.3 

55.2 

47 

n3.6 

93.3 

07 

160.0 

i3i.3 

67 

206.4 

169.4 

28 

21.6 

17.8 

88 

68.0 

55.8 

48 

114-4 

93.9 

08 

160.8 

l32.0 

68 

207.2 

170.0 

29 

22.4 

18.4 

89 

68.8 

56.5 

49 

IlS.2 

94-5 

09 

161.6 

i32.6 

69 

207.9 

170.7 

3o 

23.2 

19.0 

9° 

69.6 

57.i 

5o 

116.0 

95.2 

10 

162.3 

i33.2 

70 

208  .  7 

i7i.3 

3i 

24.0 

19.7 

91 

~7oTT 

57.7 

i5i 

1  16.7 

95.8 

211 

i63.i 

i33.o 

271 

209.5 

1  7  1  .9 

32 

24.7 

20.3 

92 

71.1 

58.4 

52 

117.5 

96.4 

12 

i63.9 

1  34.5 

72 

210.3 

72.6 

33 

25.5 

20.  0 

93 

71.9 

59.0 

53 

ii8.3 

97.1 

i3 

164.7 

1  35.i 

73 

211  .0 

73.2 

34 

26.3 

21.6 

94 

72.7 

59.6 

54 

119.0 

97-7 

i4 

i65.4 

i35.8 

74 

211.  8 

73.8 

35 

27.1 

22.2 

95 

73.4 

6o.3 

55 

119.8 

98.3 

i5 

166.2 

1  36.4 

75 

212.6 

74-5 

36 

27.8 

22.8 

96 

74.2 

60.9 

56 

120.6 

99.0 

16 

167.0 

137.0 

76 

2i3.4 

75.i 

37 

28.6 

23.5 

97 

75.o 

6i.5 

57 

121  .4 

99.6 

17 

167.7 

1  37.7 

77 

2l4-I 

75.7 

38 

29.4 

24.1 

98 

75.8 

62.2 

58 

122.  I 

100.2 

18 

i68.5 

i38.3 

78 

214.9 

"6.4 

39 

3o.i 

24.7 

99 

76.5 

62.8 

59 

122.9 

100.9 

J9 

169.3 

i38.o 

79 

215.7 

77.0 

4o 

30.9 

25.4 

100 

77-3 

63.4 

60 

123.7 

ioi.5 

20 

170.1 

139.6 

80 

216.4 

177.6 

4i 

3i.7 

26.0 

101 

78.1 

64.1 

161 

124.5 

102.  1 

221 

170.8 

l4o.2 

281 

217.2 

178.3 

42 

32.5 

26.6 

02 

78.8 

64-7 

62 

125.2 

102.8 

22 

171  .6 

t4o.8 

82 

218.0 

178.9 

43 

33.2 

27.3 

o3 

•79.6 

65.3 

63 

126.0 

io3.4 

23 

172.4 

i4i.5 

83 

218.8 

179.5 

44 

34.o 

27.9 

o4 

80.4 

66.0 

64 

126.8 

104.0 

24 

I73.2 

142.1 

84 

219.5 

180.2 

45 

34.8 

28.5 

o5 

81.2 

66.6 

65 

127.5 

104.7 

25 

173.9 

142.7 

85 

220.3 

180.8 

46 

35.6 

29.2 

06 

81.0 

67.2 

66 

128.3 

io5.3 

26 

174.7 

i43.4 

86 

221  .1 

181.4 

47 

36.3 

29.8 

07 

82.7 

67.9 

67 

129.1 

105.9 

27 

175.5 

1  44-0 

87 

221  .9 

182.1 

48 

37.i 

3o.5 

08 

83.5 

68.5 

68 

129.9 

1  06.6 

28 

176.2 

1  44-  6 

88 

222.6 

182.7 

49 

37.9 

3i.i 

09 

84.3 

69.1 

69 

1  3o  .  6 

107.2 

29 

177.0 

i45.3 

89 

223.4 

i83.3 

5o 

38.7 

3i:7 

IO 

85.o 

69.8 

70 

i3i.4 

107.8 

3o 

177.8 

i45.9 

9° 

224.2 

184.0 

5i 

39.4 

32.4 

III 

85.8 

70.4 

i7i 

l32.2 

io8.5 

23  1 

178.6 

M6.5 

291 

224*9 

1  84  .6 

52 

40.2 

33.o 

12 

86.6 

71.1 

72 

1  33.o 

109.1 

32 

•179.3 

147.2 

92 

225.7 

i85.2 

53 

4i  .0 

33.6 

i3 

87.4 

71.7 

73 

i33.7 

109.8 

33 

180.1 

147-8 

93 

226.5 

185.9 

54 

4i.7 

34.3 

i4 

88.1 

72.3 

74 

1  34.5 

110.4 

34 

180.9 

i48.4 

94 

227.3 

186.5 

55 

42.5 

34-9 

i5 

88.9 

73.o 

75 

1  35.  3 

IIl.O 

35 

181   7 

149.1 

95 

228.0 

187.1 

56 

43.3 

35.5 

16 

89.7 

73.6 

76 

1  36.o 

111.7 

36 

182.4 

149.7 

96 

228.8 

187.8 

57 

44.i 

36.2 

17 

90.4 

74.2 

77 

136.8 

II2.3 

37 

i83.a 

i5o.4 

97 

229.6 

188.4 

58 

44.8 

36.8 

18 

91.2 

74-9 

78 

i37.6 

112.9 

38 

184.0 

iSi.o 

98 

23o.4 

189.0 

59 

45.6 

37-4 

19 

92.0 

75.5 

79 

i38.4 

n3.6 

39 

i84-7 

i5i.6 

99 

23I.I 

189.7 

60 

46.4 

38.i 

20 

92.8 

76.i 

80 

139.1 

Il4-2 

4o 

i85.5 

i52.3 

3oo 

23i-9 

190.3 

Dist. 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

N.E^E.              S.E.^E.              N.W.JW.               S.W.^W.               [For  4£  Points. 



TABLE    I.                                                                |  Page  15 

Difference  of  Latitude  and  Departure  for  3|  Points. 

N.E.iiY.                     N.W.iN.                    S.E.iS.                    S.W.JS. 

Dist 

.    Lat.  '  Dep. 

Dist 

Lat. 

Dep 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep 

Dist 

Lat. 

Dep. 

2 

3 

oo.  7 
oi.5 

02.2 

00.7 

oi  .3 

02.0 

61 
62 
63 

45.2 
45.9 
46.7 

4i.o 
4i.6 

42.3 

121 
22 
23 

89.7 
90.4 
91.1 

8i.3 
81.9 
82.6 

181 

82 
83 

i34.i 
134.9 
i35.6 

I  2  1.  6 
122.2 
122.9 

241 

42 

43 

178.6 
179-3 
180  i 

161.8 
162,5 
i63  2 

4 
5 
6 

8 

()3.0 

o3.7 
o4.4 

05.2 

o5.9 

02.7 

o3.4 
04.0 
04.7 
o5.4 

64 
65 
66 

67 
68 

47-4 
48.2 
48.9 
49.6 
5o.4 

43.o 
43.7 
44.3 
45.o 
45.7 

24 
25 

26 

27 

28 

91.9 
92.6 
93.4 
94.1 
94-8 

83.3 

83.9 
84.6 
85.3 
86.0 

84 
85 
86 

87 
88 

i36.3 
i37.i 
i37.8 
i38.6 

123.6 
124.2 
124.9 
125.6 
126.3 

44 
45 
46 

47 

48 

180.8 
i8i.5 
182.3 
i83.o 
i83.8 

163.9 
1  64.5 
i65.2 
i65.9 
i66.5 

9 

10 

06.7 
07.4 

06.0 
06.7 

69 

70 

5i.9 

46.3 
47-0 

I9 

3o 

95.6 
96.3 

86.6 
87.3 

89 
90 

i4o.o 
i4o.8 

126.9 

I27.6 

i9 

5o 

184.5 

i85.2 

167.2 
167.9 

ti 

08.2 

o7.4 

7i 

52.6 

47-7 

i3i 

97-1 

88.0 

191 

i4i.5 

128.3 

757 

186.0 

168.6 

12 

i3 
i4 

08.9 
09.6 
10.4 

08.  i 

08.  7 
09.4 

72 
73 
74 

53.3 
54.1 
54.8 

48.4 
49.0 
49-7 

32 

33 
34 

97.8 
98.5 
99.3 

88.6 
89.3 
90.0 

P 

94 

142.  3 
i43.o 
i43.7 

128.9 
129.6 
i3o.3 

52 

53 
54 

186.7 
187.5 
188.2 

169.2 
169.9 
170.6 

i5 

1  1  .1 

10.  I 

75 

55.6 

5o.4 

35 

100.  0 

90.7 

95 

i44.5 

i3i.o 

55 

188.9 

171.2 

;6 

ii  .9 

10.  7 

76 

56.3 

5i.o 

36 

100.8 

9i.3 

Q6 

i45.2 

i3i.6 

56 

r8o.7 

171.9 

'7 

12.6 

11.  4 

77 

57.i 

5i.7 

37 

101  .5 

92.0 

97 

i46.o 

i32.3 

57 

190.4 

172.6 

18 

i3.3 

12.  I 

78 

57.8 

52.4 

38 

IO2.3 

92.7 

Qb 

146.7 

i33.o 

58 

191  .2 

173.3 

19 

14.1 

12.8 

79 

58.5 

53.i 

39 

io3.o 

93.3 

99 

1  47  .  / 

i33.6 

191  .9 

173.9 

20 

i4-8 

i3.4 

80 

59.3 

53.7 

4o 

103.7 

94-o 

200 

148.2 

1  34.3 

60 

192.6 

174.6 

21 

i5.6 

i4.  i 

81 

60.0 

54-4 

i4i 

io4.5 

94-7 

201 

148.9 

i35.o 

261 

193.4 

175  : 

22 

i6.3 

14.8 

82 

60.8 

55.i 

42 

105.2 

95.4 

02 

149.7 

i35.7 

62 

194.1 

175.9 

23 

17.0 

i5.4 

'   83 

6i.5 

55.7 

43 

106.0 

96.0 

o3 

i5o.4 

1  36.3 

63 

194.9 

176.6 

24 

17.8 

16.1 

84 

62.2 

56.4 

44 

106.7 

96.7 

04 

l5l.2 

137.0 

64 

195.6 

(T-  _; 

25 

i8.5 

16.8 

85 

63.o 

57.i 

45 

107.4 

97-4 

o5 

i5i  o 

l37-7 

65 

196.4 

178.0 

26 

i9.3 

17.5 

86 

63.  7 

57.8 

46 

108.2 

98.0 

06 

i52.6 

i38.3 

66 

197.1 

178.6 

27 

2,0  .  0 

18.1 

87 

64.5 

58.4 

47 

108.9 

98.7 

07 

i53.4 

139.0 

67 

197.8 

179.3 

28 

20.7 

18.8 

88 

65.2 

59.1 

48 

109.7 

99.4 

08 

i54.i 

139.7 

68 

198.6 

1  8o.O 

29 

21.5 

i9.5 

89 

65.9 

59.8 

49 

110.4 

100.  1 

09 

i54-9 

140.4 

69 

109.3 

180.6 

3o 

22.2 

20.1 

9° 

66.  7 

60.4 

5o 

in  .1 

100.7 

10 

i55.6 

i4i.o 

70 

200.  i 

i8i.3 

3  1 

23.0 

20.8 

91 

67.4 

61.1 

i5i 

111.9 

101.4 

211 

i56.3 

i4i-7 

271 

200.8 

i8a.: 

32 

23.7 

21.5 

92 

68.2 

61.8 

52 

112.  6 

102.  1 

12 

i57.i 

142.4 

72 

201.5 

182.7 

33 

24.5 

22.2 

93 

68.9 

62.5 

53 

u3.4 

102-7 

1  3 

i57.8 

1  43.o 

73 

2O2.3 

i83.3 

34 

25.2 

22.8 

94 

69.6 

63.i 

54 

ii4-i 

io3.4 

i4 

i58.6 

i43.7 

74 

2O3.O 

1  84.o 

35 

25.9 

23.5 

95 

70.4 

63.8 

55 

u4.8 

104.1 

i5 

I  §9,3 

i44.4 

75 

2o3.8 

184.7 

36 

26.7 

24.2 

96 

71  .1 

64.5 

56 

n5.6 

104.8 

16 

160.0 

i45.i 

76 

204.5 

1  85.  4 

37 

27-4 

24.8 

97 

7'  -9 

65.  T 

57 

ii6.3 

io5.4 

17 

160.8 

145.7 

77 

205    2 

1  86.0 

38 

28.2 

25.5 

98 

72.6 

65.8 

58 

117.1 

1  06.  i 

18 

i6i.5 

i46.4 

78 

206  o 

186.7 

39 

28.9 

26.2 

99 

73.4 

66.5 

59 

117.8 

106.8 

19 

162.3 

i47-i 

79 

206  7 

187.4 

4o 

29.6 

26.9 

100 

74.1 

67.2 

60 

118.6 

107.4 

20 

i63.o 

147-7 

80 

207.5 

188.0 

4i 

3o.4 

27.5 

IOI 

74.8 

67.8 

161 

119.3 

1  08.  i 

221 

i63.8 

148.4 

281 

208    2 

188.7 

42 

28.2 

02 

75.6 

68.5 

62 

120.0 

108.8 

22 

i64.5 

149.1 

82 

208.9 

189.4 

43 

31.9    28.9 

o3 

76.3 

69.2 

63 

120.8 

109.5 

23 

i65.2 

149-8 

83 

209.7 

190.1 

44 

3a.6  i  29.5 

o4 

77-1 

60.8 

64 

121  .5 

IIO.I 

24 

166.0 

i5o.4 

84 

2io..f! 

190.7 

45 

3  i     7      3o    0 

o5 

70.5 

65 

122.3 

1  10.8 

25 

166.7 

i5i.i 

85 

211.  2 

191.4 

46  I  34  .  i 

3o.9 

06 

78.5 

71.2 

66 

123.0 

iii.S 

26 

167.5 

i5i.8 

86 

2  1  I  .  9 

192.1 

47  '34.  8 

3r.6 

07 

79-3 

71.9 

67 

i23.7 

1  1  2.  2 

27 

168.2 

1  52.  4 

87 

212.7 

193.7 

48 

35.6 

32.2 

08 

72.5 

68 

124.5 

II2.8 

28 

168.9 

i53.i 

88 

2l3.4 

193.4 

36.3 

32.9 

09 

80.8 

73.2 

69 

125.2 

u3.5 

29 

169-7 

i53.8 

89 

2l4.' 

194.1 

5o 

37.o 

33.6 

10 

8i.5 

73.9 

70 

I26.O 

Il4-2 

3o 

170.4 

1  54-5 

90 

214.9 

19l;8_ 

5i 

37.8 

34.2 

in 

82.2 

74-5 

171 

126.7 

n4.8 

a3i 

171.2 

i55.i 

291 

2  1  5.  6 

195.4 

52 

38,5 

34.9 

12 

83.o 

7.5.2 

72 

127.4 

1  1  5.5 

32 

171-9 

i55.8 

92 

216.4 

196.1 

53 

3o.3 

35.6 

83.7 

75.Q 

73 

128.2 

116.2 

33 

172.6 

1  56.5 

93 

217.1 

196.8 

54 
55 
56 

4o.o 
4o.8 
4i.5 

36.3 
36.  9 
37.6 

i4 
i5 
16 

84.5 
85.2 
86.0 

76.6 

77.2 

77-9 

74 
75 
76 

128.9 
129.7 

i3o.4 

1  16.9 

117.5 

118.2 

34 
35 
36 

173.4 

i74.  i 
174.9 

57.i 
57.8 
58.5 

94 
95 
96 

217.8 
218.6 
219.3 

197.4 
198., 
198.8 

57 

42.2 

38.3 

17 

86.7 

78.6 

77 

118.9 

37 

i75.6 

59.2 

97 

220.  i 

199.5 

58 

59 
60 

43.o 

43.7 
44.5 

39.0 
39.6 
4o.3 

18 
'9 

20 

87.4 
88.2 
88.9 

79.2 

79-9 
80.6 

78 

79 
80 

131.9 
i32.6 
i33.4 

119.5 

120.2 
120-9 

38 
3o 

4o 

I77-I 
177-8 

59.8 
6o.5 
61.2 

08 
3oo 

220.  8 

221  .5 
222.3 

200.8 
2OI.5 

Dist., 

Den, 

Lat. 

Dist 

Dep. 

Lat. 

Dist.     Dep.  1    Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep.  1    Lat. 

NE|E                S.E.^E.               N.VV4W.              S.W.^W.             [For  4^  Poml*. 

1'agelCJ                                                                        TABLE    I. 

Difference  of  Latitude  and  Departure  for  4  Points. 

N.E.                         N.W.                          S.E.                        S.W. 

Dist. 

Lat. 

Do  p. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

B-sJ 

Lat. 

Dep 

! 

00.7 

00.7 

61 

43.1 

43.i 

121 

85.6 

85.6 

181 

128.0 

128.0 

24  1 

'70.4 

170.4 

2 

CM  .4 

oi  .4 

62 

43.8 

43.8 

22 

86.3 

86.3 

82 

128.7 

128.7 

42 

171.1 

171.1 

'i    o^.i 

O7.  1 

63 

44-5 

44-5 

?3 

8-.o 

870 

83 

129,4 

179.4 

e. 

171.8 

I-l£ 

4 

02.8 

02.8 

64 

45.3 

45-3 

24 

87.7 

87-7 

84 

i3o.i 

i3o.i 

44 

172.5 

172.5 

5 

o3.5 

o3.5 

65 

46.o 

46.o 

25 

88.4 

88.4 

85 

i3o.8 

1  3o.8 

45 

173.3 

173.2 

6 

04.2 

04  .  2 

66 

46.7 

46.7 

26 

89.1 

89.1 

85 

iSi.5 

i3i.5 

46 

173.9 

'73-9 

7 

04.9 

04.9 

67 

47-4 

47-4 

27 

89.8 

89.8 

87 

132.2 

132.2 

47 

174-7 

174.7 

8 

o5.7 

05.7 

68 

48.i 

48.1 

28 

9o.5 

90.5 

88 

l32.9 

132.9 

48 

i75.4 

175.4 

9 

06.4 

o6.4 

69 

48.8 

48.8 

29 

91.2 

91.2 

89 

i33.6 

i33.6 

49 

176.1 

176.1 

10 

07.1 

07.1 

70 

49.5 

49.5 

3o 

91.9 

91.9 

9° 

i34.4 

1  34.  4 

5o 

176.8 

176.8 

1  1 

07.8 

07.8" 

7i 

50.2 

50.2 

i3i 

92.6 

92.6 

191 

1  35.i 

i35.i 

25l 

177.5 

I77.5 

|2 

o8.5 

o8.5 

72 

50.9 

50.9 

32 

93.3 

93.3 

92 

i35.8 

i35.8 

52 

178.2 

178.2 

i3 

09.2 

09.2 

73 

5i  .6 

5i.6 

33 

94.0 

94.0 

93 

i36.5 

1  36.5 

53 

178.9 

178.9 

i4 

09.9 

09.9 

74 

52.3 

52.3 

34 

94.8 

94.8 

94 

l37.2 

l37.2 

54 

179.6 

179.6 

i5 

10.6 

10.6 

75 

53.o 

53.0 

35 

95.5 

95.5 

95 

1  37.  9 

137.9 

55 

i8o.3 

i8o.3 

16 

n.3 

n.3 

76 

53.7 

53.7 

36 

96.2 

96.2 

96 

i38.6 

1  38.6 

56 

181.0 

181.0 

i? 

12.0 

12  .O 

77 

54-4 

54-4 

37 

96.9 

96.9 

97 

139.3 

139.3 

57 

181  .7 

181.7 

18 

12.7 

I2.7 

78 

55.2 

55.2 

38 

97-6 

97.6 

98 

i4o.o 

i'4o.o 

58 

182.4 

182.4 

»9 

13.4 

,3.4 

79 

55.9 

55.9 

39 

98.3 

98.3 

99 

140.7 

i4o.7 

59 

i83.i 

i83.i 

20 

i4-i 

i4-i 

80 

56.6 

56.6 

4o 

99.0 

99.0 

200 

i4i.4 

i4i-4 

60 

1  83.8 

i83.8 

21 

i4-8 

14.8 

~8T 

57.3 

57.3 

i4i 

99-7 

99-7 

201 

1  4?-.  i 

142.1 

26, 

184.6 

1  84.  6 

22 

i5.6 

i5.6 

82 

58.o 

58.o 

42 

100.4 

100.4 

02 

142.8 

142.8 

62 

i85.3 

i85>3 

23 

i6.3 

,6.3 

83 

58.7 

58.7 

43 

101  .  I 

101.  1 

03 

i43.5 

i43.5 

63 

1  86.0 

1  86.0 

24 

17.0 

17.0 

84 

59.4 

59.4 

44 

101.8 

ioi.8 

o4 

i44.2 

144.2 

64 

186.7 

186.7 

25 

17-7 

17.7 

85 

60.  i 

60.  i 

45 

102.5 

102.5 

o5 

i45.o 

i45.o 

65 

187.4 

1874 

?.6  |  1  6  .  4 

18.4 

86  |  60.  8 

60.8 

46 

103.2 

1O3.2 

06 

i45.7 

i45-7 

66 

1  88.  i 

188.  i 

2"      ly.l 

19.1 

87   61.  5l6i.5 

47 

103.9 

108.9 

07 

146.4 

1  46.4 

67 

188.8 

188.8 

281   19.8 

19.8 

88 

02.2  1  O2.  2 

48 

104.7 

104.7 

08 

i47-i 

i47.i 

68 

189.5 

.89.5 

29 

20  .  5 

20.5 

89 

62.9    62.9 

49 

io5.4 

io5.4 

°9 

147-8 

147.8 

69 

1  90  .  2 

190.2 

3o 

21  .2 

21.2 

9° 

63.  6  |  63.6 

5o 

1  06.  i 

1  06.  i 

IO 

i48.5 

i48.5 

70 

190.9 

12^9 

3. 

2J.9 

21.9 

91 

64.3164.3 

i5i 

106.8 

1  06.8 

21  I 

1  49  .  2 

149-2 

271 

191  .6 

191.6 

32 

22.6 

22.6 

92 

65.i 

65.i 

52 

1  07  .  5 

107.5 

12 

149.9 

149-9 

72 

192  .3 

192.3 

33 

23.3 

23.3 

93 

65.8 

65.8 

53 

108.2 

108,2 

13 

i5o.6 

i5o.6 

73 

i  o3  .  o 

193.0 

34 

24.0 

24.0 

94 

66.5 

66.5 

54 

108.9 

108.9 

i4 

i5i.3 

r5i.3 

74 

io3.7 

193.7 

35 

24-7 

24.7 

95 

67.2 

67.2 

55 

1  09  .  6 

109.6 

i5 

l52.0 

l52.0 

1  94  .  5 

194.5 

36 

25.5 

25.5 

96 

67-9 

67-9 

56 

i  io.3 

i  io.3 

16 

i52.7 

l52.7 

76 

1  95  .  2 

195.2 

37,26.2 

26.2 

97 

68.6 

68.6 

57 

I  I  1  .0 

11  1  .0 

17 

i53.4 

i53.4 

77 

io5  .9 

190.9 

38 

26.9 

26.9 

98 

69.3 

69.3 

58 

111.7 

111.7 

18 

i54-i 

1  54.  i 

78 

1  96  .  6 

196.6 

39 

27.6 

27.6 

99 

70  .  o 

70.0 

59 

I  I  2  .  4 

1  12.4 

K; 

i54-9 

1  54-9 

79 

197.3 

197.3 

4o 

28.3 

28.3 

100 

70.7 

70.7 

60 

ii3.i 

u3.i 

20 

i55.6 

1  55.6 

80 

1  98  .  o 

198.0 

4i 

29.0 

29.0 

101 

71-4" 

71-4 

161 

n3.8 

n3.8 

221 

i56.3 

1  56.3 

281 

198.7 

198.7 

42 

29.7 

29.7 

02 

72.1 

72.1 

62 

n4.6 

u4.6 

22 

157.0 

1  57.0 

82 

199.4 

199.4 

43 

3o.4 

3o.4 

o3 

72.8 

72.8 

63 

H.5-.3 

u5.3 

2.3 

1  57.7 

157.7 

83 

200  .  I 

200.  i 

44 

3i  .1 

3i  .1 

04 

73.5 

73.5 

64 

1  16.0 

1  16.0 

24 

i58.4 

1  58.4 

84 

2.00.8 

200  8 

45 

3i  .8 

3i.8 

o5 

74-2 

74.2 

65 

1  16.7 

1  16.7 

25 

i59.  i 

1  59.  i 

85 

201  .5 

20  1  .5 

46 

3^.5 

32.5 

06 

75.o 

75.o 

66 

1  17.4 

1  17.4 

2.6 

159.8 

159.8 

86 

202.2 

2^2.2 

47 

33.2 

33.2 

07 

75-7 

75.7 

67 

118.1 

118.1 

27 

i6o.5 

i6o.5 

87 

202  .9 

202.9 

48 

33.9 

33.9 

08 

76.4 

76.4 

68 

118.8 

118.8 

28 

161  .2 

161.2 

88 

203.6 

203.6 

49 

34.6 

34.6 

09 

77.1 

77-i 

69 

1  19.5 

1  19.5 

29 

161  .9 

161.9 

89 

204.4 

204.4 

5o 

35.4 

35.  .4 

10 

77.8 

77.8 

70 

120.2 

I  20.  2 

3o 

162.6 

162.6 

9° 

205.1 

205.1 

5i 

36.i 

36.i 

in 

78.5 

78.5 

171 

I2O-9 

120-9 

2.3  1 

i63.3 

i63.3 

291 

2C.5.8 

2o5.8 

52 

36.8 

36.8 

12 

79.2 

79.2 

72 

121  .6 

I  2  1.  6 

32 

164.0 

164.0 

92 

206.  5    206.5 

53 

37.5 

37.5 

i3 

79-9 

79-9 

73 

122.3 

122.3 

33 

1  64.  8 

164.8 

93 

207  .2 

207.2 

54 

38.2 

38.2 

i4 

80.6 

80.6 

74 

123.  O 

123.0 

34 

i65.5 

i65.5 

94 

207.9 

2O--9 

55 

38.  9 

38.9 

i5 

8i.3 

8i.3 

75 

123.7 

i23.7 

35 

166.2 

166.2 

95 

208.6 

208.6 

,    56 

39.6 

39.6 

16 

82.0 

82.0 

76 

1  2.4  .  5 

124.5 

36 

166.9 

166.9 

96 

209.3 

209.3 

57 

4o.3 

4o.3 

17 

82.7 

82.7 

77 

125.2 

125.2 

37 

167.6 

16^.6 

97 

210.0 

210.0 

584i.o 

/I  .0 

18 

83.4 

83.4 

78 

125-9 

125.9 

38 

i68.3 

1  68.3 

.98 

2IO-7 

210.7 

59   41.7 

41.7 

J9 

84-i 

84.i 

79 

1  26  .  6 

126.6 

39 

169.0 

169.0 

99 

21  I  .4 

211.4 

60   42.4 

4?.  4 

20 

84-9 

84-9 

80 

127.3 

I27.3 

4o 

169.7 

169.7 

3oo 

212.1 

212.1 

DISK;  Dep. 

1,  a!..  [Dist. 

Dep. 

Lat. 

DiZ 

Dep. 

Lat. 

Dist. 

Do  p. 

Lat. 

Dist. 

Dep. 

Lat." 

N  K.                    N.W.                    S.E.                    S.W.                    [For  4  Points. 

TABLE  II.                                         [Pagel7 

Difference  of  Latitude  and  Departure  for  1  Degree. 

Dist 

2 

3 
4 
5 

10 

.    Lat. 

Dep 

Dis 

Lat. 

Dep 

Dis 

12 
22 

23 

•2.1 

26 
27 
28 
29 

3o 

Lat. 

Dep 

Dis 

Lat. 

Dep 

Dist 

02.0 

o3.o 
04.0 
o5.o 
06.0 
07.0 
08.0 
09.0 

10.  0 

00.  0 
00.  I 
00    I 
00.  I 
00.  I 
00.  I 
00.  I 
00.2 
00.2 

6 
62 
63 
64 
65 
6b 
67 
68 
69 
70 

61  .0 
62.0 
63.o 
64.o 
65.o 
66.0 
67.0 
68.0 
69.0 
70.0 

01  .1 
01  .1 
OI  .  I 
OI  .1 
01.  I 
01  .2 
01  .2 
01  .2 
01  .2 
01  .2 

121  .0 
122.0 
123.0 
124.0 
125.0 

126.0 

I27.0 
128.0 
129.0 

i3o.o 

02.1 
02.1 
02.1 
02.2 
02.2 
02.2 
02.2 
O2  .2 
O2.  C 
02.3 

18 
8 
8 
84 
85 
86 
87 
88 
89 
90 

181.0 
182.0 
i83.o 
184.0 
i85.o 
186.0 
187.0 
188.0 
189.0 
190.0 

03.2 
03.2 
03.2 
03.2 
03.2 
03.2 

o3.3 
o3.3 
o3.3 
o3.3 

241 

42 

43 
44 
45 
46 

47 
48 

g 

241  .0 

242.0 
243.0 
244   0 
245.0 

246,0 
247.0 
248.0 
249.0 
25o.o 

04.2 
04.2 
04.2 
04  3 
o4.3 
o4.3 
o4.3 
o4.3 
04.  3 
04  4 

1  1 

12 

\i 

16 

i? 

18 
10 

2C 

II  .0 

12.  0 

i3.o 
i4-o 
i5.o 
16.0 
17.0 
18.0 
19.0 

20.0 

OO.2 
O0.2 
00.2 
00.2 
00.3 

oo.3 
oo.3 
oo.3 
oo.3 
oo.3 

72 
73 

74 
75 
76 

78 

79 
80 

71.0 

72.0 
73.o 
74-0 
75.o 
76.0 
77.0 
78.0 
79.0 
80.0 

01  .2 

01     ; 
01     ' 
OI  .C 
01  .0 
01  .3 
01  .3 

01.4 
oi  .4 
oi  .4 

32 

33 
34 
35 
36 
37 
38 
39 
4o 

i3i  ,o 

l32.0 

i33.o 
i34.o 
i35.o 
i36.o 
i37.o 
i38.o 
139.0 
i4o.o 

02.,; 
O2.'; 
02.  C 
02.3 
02.  , 
02.  t 
02.  L 
02.  i 
02.  i 
02  ,i 

»9 

92 

93 
94 
95 
96 

97 
98 

99 

200 

191.0 
19:  i.o 
193.0 
i94.o 
195.0 
196.0 
197.0 
198.0 
199.0 

200.0 

o3.3 
o3.4 
o3.4 
o3.4 
o3.4 
o3.4 
o3.4 
o3.5 
o3.5 
o3.5 

25l 
52 

53 
54 
55 

56 

57 
58 

59 
60 

25l  .0 
252.0 

253.o 
254.0 
255.o 
256.o 

257.0 

258.o 
259.0 
260.0 

04. 
04. 
04. 
04. 
04. 
04. 
04. 
04. 
04. 
04. 

21 
22 

2J 

25 
26 

27 
28 

21.0 
22.0 
23.0 
24.0 
25.0 

26.0 

27.0 

28.0 

00.4 
00.4 
00.4 
00.4 
00.4 
oo.5 
oo.5 
oo.5 

81 
82 
83 
84 
85 
86 
87 
88 

81.0 
82.0 
83.o 
84.o 
85.o 
86.0 
87.0 
88.0 

oi  .4 
oi  .4 

01  .4 

oi.5 
oi.5 
oi.5 
oi.5 
oi.5 

'42 
43 
44 
45 
46 
47 
48 

i4i  -o 
142.0 
i43.o 
i44-o 
i45.o 
i46.o 
i47.o 
i48.o 

02. 
02. 
02. 
02. 
02.5 
02.5 
02.6 
02.6 

2OI 
02 

o5 
06 
07 

08 

201  .0 
202.  0 
203.0 
204.O 
2O5.O 
2O6.O 
207.0 
208.0 

o3.5 
o3.5 
o3.5 
o3.6 
o3.6 
o3.6 
o3.6 
o3.6 

261 
62 
63 
64 
65 
66 
67 
68 

261  .0 
262.0 
263.o 
264.0 
265.o 
266.0 
267.0 
268.0 

04.6 
04.6 
04.6 
04.6 
04.6 
04.6 
04  7 
o4  7 

3o 

29.0 
3o.o 

oo.5 
oo.5 

89 
9° 

90.0 

oi  .6 
01.6 

io 

149.0 
iSo.o 

02.6 
02.6 

09 

10 

209.0 
210.0 

o3.6 
o3.7 

69 

70 

269.0 
270.0 

o4'-7 
04.7 

3i 

32 

33 
34 
35 
36 

3i  .0 

32.0 

33.o 
34.o 
35.o 
36.o 

oo.5 
jo.  6 
00.6 
00.6 
00.6 
00.6 

91 

S 

94 
95 
96 

91.0 
92.0 
93.o 
94.o 
9>5.o 
96.0 

01.6 
01.6 
01.6 
01.6 
01.7 

01.  7 

52 

53 
54 
55 

56 

i5i  .0 

152.0 

i53.o 
1  54.0 
i55.o 
i56.o 

02.6 
02.  7 

02.7 
02.7 
02.7 
02.7 

211 
12 
l3 

i5 
16 

211  .O 
212.  0 
213.0 

214.0 

215.0 

216.0 

o3.7 
o3.7 
o3.7 
o3.7 
o3.8 
o3.8 

271 

7^ 
74 
75 
76 

271  .0 
272.0 
273.0 
274.0 
275.0 
276.0 

o4-7 
o4.7 
o4.8 
04.8 
04.8 
04.8 

37 

37.o 

00.6 

97 

97.0 

01.7 

57 

i57.o 

02.7 

17 

217.0 

o3.8 

77 

277.0 

04.8 

38 

38.o 

00.7 

98 

98.0 

01.7 

58 

i58.o 

02.8 

id 

218.0 

o3.8 

78 

278.0 

04.9 

39 

4o 

39.0 
4o.o 

00.7 
00.7 

99 

100 

99.0 

100.  0 

01.7 
01.7 

59 
60 

159.0 
160.0 

02.8 
02.8 

J9 

20 

219.0 

22O.O 

o3.8 
o3.8 

79 
80 

279.0 
280.0 

/ 
04.9 

04.9 

4i 

4i.o 

00.7 

IOI 

OI..O 

01.8 

161 

161  .0 

02.8 

221 

221  .0 

o3.o 

281 

281.0 

04.9 

42 

42.0 

00.7 

02 

102.0 

01.8 

62 

162.0 

02.8 

22 

222.0 

03,Q 

82 

282.0 

04.9 

43 

43.o 

00.8 

o3 

o3.o 

.8 

63 

i63.o 

02.8 

23 

223.0 

03.9 

83 

283.o 

04.9 

44 

44.o 

00.8 

o4 

04.0 

.8 

64 

164.0 

02.9 

24 

224.0 

o3.9 

84 

284.0 

o5.o 

45 

46.o 

00.8 

o5 

o5.o 

.8 

65 

i65.o 

02  .9 

25 

225.0 

o3.9 

85 

285.0 

o5.o 

4b 

46.0 

00.8 

06 

06.0 

o  .8 

66 

66.0 

02.9 

26 

226.0 

o3.9 

86 

286.0 

o5.o 

47 

47.o 

00.8 

07 

07.0 

o  .9 

67 

67.o 

02.9 

27 

227.0 

04.0 

87 

287.0 

o5.o 

48 

48.o 

00.8 

08 

08.0 

o  .9 

68 

68.0 

02  .9 

28 

228.0 

04.0 

88 

288.0 

o5.o 

49 

49.0 

00.9 

09 

09.0 

o  .9 

69 

69.0 

02.9 

29 

229.0 

04.0 

89 

289.0 

o5.o 

*)0 

5o.o 

00.9 

10 

10.  0 

o   .9 

70 

7o.o 

o3.o 

3o 

230.0 

04.0 

9° 

290.0 

o5.i 

5i 

5i  .0 

00.9 

II 

I  I  .0 

01.9 

1-71 

7I.O 

o3.o 

23l 

23l.O 

04.0 

291 

291  .0 

o5.i 

52 

52.0 

00.9 

12 

12.0 

02.0 

72 

72.0 

o3.o 

32 

232.0 

04.0 

92 

292.0 

o5.i 

53 

53.0 

00.9 

i3 

i3.o 

02.0 

73 

73.o 

o3.o 

33 

233.0 

4.  i 

93 

293.0 

o5.i 

.54 

54.0 

00.9 

i4 

i4-o 

O2.  0 

74 

74-o 

o3.o 

34 

234.o 

4.1 

94 

294.0 

o5.i 

55 

65.0 

OI  .0 

i5 

i5.o 

02.0 

75 

75.o 

63.1 

35 

35.o 

4.  i 

95 

295.0 

o5.i 

56 

56.o 

01  .0 

16 

16.0 

O2.  0 

76 

•76.0 

o3.i 

36 

36.o 

4.1 

96. 

296.0 

05.2 

5? 

7.0 

01  .0 

17 

17.0 

02.0 

77 

77.0 

o3.i 

37 

37.o 

4.  i 

97- 

297.0 

05.2 

58 

8.0 

01  .0 

18 

18.0 

O2.  I 

78 

78.0 

o3.i 

38 

38.o 

4.2 

98- 

298.0 

o5.2 

59 

9.0 

01  .O 

19 

19.0 

2.1 

79 

•79.0 

o3.i 

39 

39.0 

4.2 

99- 

299.0 

05.2 

60 

60.0 

01  .O 

20 

20.0 

2.1 

80 

80.0 

o3.i 

4o 

4o.o 

4.2 

oo 

3oo.o 

05.2 

D.st. 

)ep.| 

Lat. 

ist. 

Dep. 

Lat. 

)ist. 

Dep. 

Lat. 

Dist. 

Dep. 

..at. 

ist: 

Dep.  I   Lat. 

.  [For  89  Degrees. 

Page  18]                                                                TABLE    II. 

Difference  of  Latitude  and  Departure  for  2  Degrees. 

Dist 

.    La'.. 

Deo. 

Dis 

Lat. 

Dep. 

Dist 

Lat. 

Dep 

Dis 

Lat. 

Dep 

Dist.|    Lat. 

Dep. 

i 

OI    0 

00.0 

61 

61.0 

02.1 

121 

120. 

04.2 

18 

180. 

o6.3 

241  |  240.9 

08.4 

2 

02.  o 

00.  I 

62 

62.0 

02.2 

22 

121. 

o4.3 

82 

181. 

06. 

42 

241.9 

08.4 

3 

o3.o 

00.  I 

63 

63.  ) 

02.2 

23 

122. 

o4.3 

83 

182. 

06. 

43 

242.  9 

o8,5 

4 

o4.o 

00.  I 

64 

64.o 

02.2 

24 

123- 

o4.3 

84 

i83. 

06. 

44 

243.  9 

o8.5 

5 

o5.o 

OO.2 

65 

65.o 

02.3 

25 

I24. 

o4u 

85 

184. 

06. 

45 

244.9 

08  6 

6 

06.0 

OO.2 

66 

66.0 

O2.  3 

26 

125. 

04.^ 

86 

i85. 

06. 

46 

245.  9 

08.6 

7 

07.0 

O0.2 

67 

67.0 

02.3 

27 

126. 

o4.4 

87 

186. 

06. 

47 

246.8 

08.6 

8 

08.0 

oo.3 

68 

68.0 

02.4 

28 

127. 

04.  5 

88 

187. 

06.6 

48 

247.8 

08.7 

9 

09.0 

oo.3 

69 

69.0 

02.4 

29 

128. 

o4.5 

89 

188. 

06.6 

49 

248.8 

08.7 

10 

IO.O 

oo.3 

70 

70.0 

02.4 

3o 

I29. 

04.  5 

90 

189. 

06.6 

5o 

249.8 

08.7 

ii 

II  .0 

00.4 

71 

71.0 

02.5 

~r37 

i3o. 

04.6 

191 

190. 

06.7 

?5i 

25o.8 

08.8 

12 

12.0 

00.4 

72 

72.0 

02.5 

32 

i3i. 

04.6 

92 

191  . 

06.7 

52 

25i.8 

08.8 

i3 

i3.o 

oo.5 

73 

73.o 

02:5 

33 

i32.9 

04.6 

9' 

192. 

06.7 

53 

252.8 

08.8 

i4 

i4-o 

oo.5 

74 

74.o 

02.6 

34 

133.9 

04.7 

9^ 

193. 

06.8 

54 

-53.8 

08.9 

i5 

i5.o 

oo.5 

75 

75.o 

02.6 

35 

i34.9 

04.7 

95 

i94.9 

06.8 

55 

254.8 

08.9 

16 

16.0 

00.6 

76 

76.0 

02.7 

36 

i35.9 

04.7 

96 

i95.9 

06.8 

56 

255.8 

08.9 

17 

17.0 

00.6 

77 

77.0 

02.7 

37 

i36.9 

o4.8 

97 

i96.9 

06.9 

57 

256.8 

09.0 

18 

18.0 

00.6 

78 

78.0 

02.7 

38 

137.9 

04.8 

98 

i97.9 

06.  9 

58 

257.8 

09.0 

r9 

19.0 

00.7 

79 

79.0 

02.8 

39 

i38.9 

04.9 

99 

i98.9 

06.9 

59 

258.8 

09.0 

20 

20.  o 

00.7 

80 

80.0 

02.8 

4o 

i39.9 

04.9 

200 

i99.9 

07.0 

60 

259.8 

09.1 

21 

21  .0 

00.7 

81 

81.0 

02.8 

i4i 

140.9 

04.9 

201 

200.9 

07.0 

261 

260.8 

09.1 

22 

22.0 

oo.  S 

82 

82.0 

02.9 

42 

i4i  .9 

o5.o 

02 

201  .9 

07.0 

62 

261.8 

09.1 

23 

23.0 

00.8 

83 

82.9 

02.9 

43 

142.9 

o5.o 

o3 

202.9 

07.1 

63 

262.8 

09.2 

24 

24.0 

00.8 

84 

83.9 

02.9 

44 

i43.9 

o5.o 

o4 

203.9 

07.1 

64 

263.8 

09.2 

25 

a5.o 

00.9 

85 

84.9 

o3.o 

45 

i44-9 

o5.i 

o5 

204.9 

07.2 

65 

264.8 

09.2 

26 

26.0 

00.9 

86 

85.  9 

o3.o 

46 

i45.9 

o5.i 

06 

205.9 

07.2 

66 

265.8 

09.3 

27 

27.0 

00.9 

87 

86.9 

o3.o 

47 

146.9 

o5.i 

07 

206.9 

07.2 

67 

266.8 

09.3 

28 

28.0 

01  .0 

88 

87.9 

o3.i 

48 

147-9 

05.2 

08 

207.9 

o7.3 

68 

267.8 

09.4 

29 

29.0 

01  .0 

89 

88.9 

o3.i 

49 

148.9 

05.2 

°9 

208.9 

o7.3 

69 

268.8 

09.4 

3o 

3o.o 

01  .0 

9° 

89.9 

o3.i 

5o 

149.9 

05.2 

TO 

209.9 

o7.3 

70 

269.8 

09.4 

5i 

3i.o 

01.  I 

9r 

90.9 

olTT 

i5i 

150.9 

o5.3 

211 

210.9 

07.4 

271 

270.8 

09.5 

32 

3a.o 

01.  I 

92 

91.9 

03.2 

52 

i5i  .9 

o5.3 

12 

21  I  .9 

07.4 

72 

271.8 

09.5 

33 

33.o 

OI  .2 

93 

92.9 

03.2 

53 

i52.9 

o5.3 

i3 

212.9 

07.4 

73 

272.8 

09.5 

34 

34.o 

01  .2 

94 

93.9 

o3.3 

54 

i53.9 

o5.4 

i4 

213.9 

o7.5 

74 

273.8 

09.6 

35 

35.o 

01  .2 

95 

94.9 

o3.3 

55 

i54.9 

o5.4 

i5 

214.9 

o7.5 

75 

274.8 

09.6 

36 

36.o 

01.3 

96 

95.9 

o3.4 

56 

155.9 

o5.4 

16 

2  1  5  .  9' 

o7.5 

76 

275.8 

09.6 

•3? 

37.o 

oi.3 

97 

96.9 

o3.4 

57 

i56.9 

o5.5 

17 

216.9 

07.6 

77 

276.8 

09-  7 

38 

38.o 

oi.3 

98 

97-9 

o3.4 

58 

157.9 

o5.5 

18 

217.9 

07.6 

78 

277.8 

09.7 

39 

39.0 

01  .4 

99 

98.9 

o3.5 

59 

158.9 

o5.5 

19 

218.9 

07.6 

79 

278.8 

09.7 

4o 

4o.o 

oi  .4 

100 

99-9 

o3.5 

60 

r59.9 

o5.6 

20 

219.9 

07.7 

80 

279.8 

09.8 

4i 

4i  .0 

oi  .4 

101 

100.9 

o3.5 

161 

160.9 

o5.6 

221 

220.9 

07.  7 

281 

280.8 

09.8 

42 

4a.o 

o(.5 

02 

101  .9 

o3.6 

62 

161  .9 

>5.7 

22 

221.9 

07.7 

82 

281.8 

09.8 

43 

43.o 

oi.5 

o3 

IO2  .9 

o3.6 

63 

162.9 

o5.7 

23 

222.9 

o7.8 

83 

282.8 

09.9 

44 

44.o 

01.5 

04 

103.9 

o3.6 

64 

i63.9 

o5.7 

24 

223.9 

o7.8 

84 

283.8 

09.9 

45 

45.o 

01.6 

o5 

104.9 

o3.7 

65 

164.9 

o5.8 

25 

224.9 

°7-9 

85 

284.8 

09.9 

46 

46.o 

01  .6 

06 

05.9 

o3.7 

66 

:65.9 

o5.8 

26 

225.9 

07.9 

86 

285.8    10.0 

47 

47.0 

oi  .6 

07 

[06.9 

o3.7 

67 

166.9 

o5.8 

27 

226.9 

o7>9 

87 

286.8    10.0 

48 

48.o 

01.7 

08 

107.9 

o3.8 

68 

167.9 

o5.9 

28 

227.9 

08.0 

88 

28-7.8  i  10.  i 

P 

49.0 

01.7 

09 

108.9 

o3.8 

69 

168.9 

05.9 

29 

228.9 

08.0 

89  1  288.8    10.  i 

5o 

5o.o 

01.7 

10 

109.9 

o3.8 

70 

169.  9 

o5.9 

3o 

229.9 

08.0 

9o  ;  280.8    10.  i 

~5T 

5i.o 

01.8 

III 

110.9 

o3.9 

171 

170.9 

06.0 

23l 

23o.9 

08.  i 

29I      200.8 

10.2 

52 

52.0 

01.8 

12 

111.9 

o3.9 

72 

171-9 

06.0 

32 

23i.9 

08.  i 

92     29I  .8 

10.2 

53 

53.o 

01.8 

r3 

12.9 

o3.9 

73 

172.9 

06.0 

33 

232.9 

08.  i 

93     292.8 

10.2 

54 

54.0 

oi.  9 

i4 

13.9 

04.0 

74 

173.9 

06.  i 

34 

33.9 

08.2 

94  293.8 

10.3 

55 

55.o 

oi  .9 

i5 

114.9 

04.0 

75 

174.9 

06.  i 

35 

234.9 

08.2 

95    294.8 

io.3 

56 

56.o 

02.0 

16 

115.9 

o4-o 

76 

175.9 

06.  i 

36 

35.9 

08.2 

^    295.8 

10  3 

57 

57.o 

02  .0 

17 

110.9 

04.  i 

77 

176.9 

06.2 

37 

36.9 

o8.3 

97 

296.8 

10.4 

58 

58.o 

02.  o 

18 

117.9 

04.1 

78 

177.9 

06.2 

38 

37.9 

o8.3 

98 

297.8 

10.4 

^ 

59.0 

02.  i 

'9 

118.9 

04.2 

79 

178.9 

06.2 

39 

38.  9 

o8.3 

99 

208.8 

10.4  ' 

60 

60.0 

02.1 

20 

119.9 

04.2 

80 

179.9 

o6.3 

4o 

39.9 

08.4 

loo 

299.8 

io.5 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

)ist.| 

Dep. 

Lat. 

)ist. 

Dep.     Lot 

Dist. 

Dep.      Lat. 

[For  83  Degrees. 

TABLE  II.                                           [Page  I9 

Difference  of  Latitude  and  Departure  for  3  Degrees. 

Dist 

1  Lat. 

01  .0 

02.0 

o3.o 
o4.o 
o5.o 
06.0 
07.0 
08.0 
o9.o 

IO.O 

Dep. 

00.  I 
OO.  I 
00.2 
00    2 

00.3 
oo.3 
00.4 
00.4 
oo.5 
oo.5 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat.    1  Den. 

i 

4 
5 

6 

7 
8 

9 
10 

61 
62 
63 
64 
65 
66 
67 
68 

69 

60.9 
61.9 
62.9 
63.9 
64.9 
65.9 
66.9 

67-9 
68.9 
69.9 

03.2 
03.2 

o3.3 
o3.3 
o3.4 
o3.5 
o3.5 
.o3.6 
o3.6 
o3.7 

121 
22 
23 
24 
25 

26 

27 
28 

I9 

3o 

120.8 
121.  8 
122.8 

133.8 

124.8 

125.8 
126.8 
127.8 
128.8 
129.8 

o6.3 
06.4 
06.4 
o6.5 
06.5 
06.6 
06.6 
06.7 
06.8 
06.8 

181 
82 
83 
84 
85 
86 
87 
88 

89 
90 

180.8 
181.8 
182.7 
i83.7 
184.7 
186.7 
186.7 
187.7 
188.7 
189.7 

09.5 
09.5 
09.6 
09.6 
09.7 
09.7 
09  8 
09.8 
09.9 
09.9 

24  1 

42 

43 
44 
45 
46 
47 
48 

g 

240.7 

242.7 
243.7 
244-7 
245.7 
246.7 
247-7 
248.7 

12.6 

12.7 

12.7 

12.8 

12.8 

12.9 

i3.o 
i3.o 

ii 

II  .0 

00.6 

71 

70.9 

03.7 

i3i 

i3o.8 

06.9 

191 

100.7 

IO.O 

?5i 

25o.7 

i3 

12 

i3 
i4 
i5 
1  6 

12.0 

i3.o 
i4-o 
i5.o 
16.0 

00.6 
00.7 
00.7 
00.8 
00.8 

72 
73 
74 
75 
76 

71-9 
72.9 
73.9 
74-9 
75.9 

o3.8 
o3.8 
03.9 
03.9 
04.0 

32 

33 
34 
35 
36 

i3i.8 
i32.8 
i33.8 
i34.8 
i35.8 

06.9 
07.0 
07.0 
07.1 
07.1 

P 

1 
06 

191.7 

i93.7 

194.7 
195.7 

IO.O 
10.  1 
10.2 
IO.2 

TO.  3 

52 

53 
54 
55 

56 

251.7 

252.7 

253.7 
254.7 
255.6 

13.2 
13.2 

i3.3 
i3.3 
i3  4 

18 

17.0 
18.0 

oo.  9 
oo.  9 

'  77 
78 

76.9 
77-9 

04.0 
04.  i 

38 

i36.8 
i37.8 

07.2 
07.2 

97 
98 

^96.7 
J97-7 

io.3 
10.4 

58 

256.6 
257.6 

i3.5 
i3.5 

19 

19.0 

OI  .0 

79 

78.9 

04.1 

39 

i38.8 

07.3 

99 

198.7 

10.4 

50 

258.6 

i3.6 

20 

20.  0 

01  .0 

80 

79-9 

04.2 

4o 

189.8 

07.3 

200 

199.7 

io.5 

60 

259.6 

i3.6 

21 

21  .0 

01.  1 

81 

80.9 

04.2 

i4i 

i4o.8 

07.4 

201 

200  .  7 

TO.  5 

261 

260.6 

13.7 

22 

22.0 

01  .2 

82 

81.9 

04.  3 

42 

i4i.8 

07.4 

02 

2OI  .7 

10.6 

62 

261.6 

13.7 

23 

24 

2-3.0 
24.O 

01.2 

oi.3 

83 
84 

82.9 
83.9 

04.  3 
04.4 

43 
44 

142.8 

i43.8 

07.5 
07.5 

03 

o4 

202.7 

203.7 

10.6 
10.7 

63 
64 

262.6 
263.6 

i3.8 

i3.8 

25 

26 

25.0 
26.0 

oi.3 
01.4 

85 
86 

84.9 
85.  9 

04.4 
o4.5 

45 

46 

i44.8 
i45.8 

07.6 
07.6 

o5 
06 

204.7 
205.7 

10.7 
10.8 

65 
66 

264.6 
265.6 

i3.9 

l3.Q 

27 

27.0 

01  .4 

87 

86.9 

04.6 

47 

i46.8 

07.7 

07 

206.7 

10.8 

67 

266.6 

14.0 

28 

28.0 

oi.5 

88 

87-9 

04.6 

48 

147-8 

07.7 

08 

207.7 

10.9 

68 

267.6 

3o 

29.O 

3o.o 

oi.5 
01  .6 

89 
9° 

88.9 
89.9 

04.7 
04.7 

4.9 
5o 

i48.8 
149.8 

07.8 
07.9 

09 

10 

208.7 
209.7 

10.9 

II  .0 

69 

70 

268.6 
269.6 

14.1 

14.1 

3i 

3i.o 

01  .6 

91 

90.9 

04.8 

i5i 

i5o.8 

07.9 

211 

210.7 

II.  0 

271 

270.6 

14.2 

3a 

32.0 

01.7 

92 

91.9 

04.8 

52 

i5i.8 

08.0 

12 

211.7 

II  .1 

72 

271  .6 

14.2 

33 

33.o 

01.7 

93 

92.9 

04.9 

53 

i52.8 

08.0 

1  3 

212.7 

II  .1 

73 

272.6 

i4.3 

34 

34.o 

01.8 

94 

93.9 

04.9 

54 

i53.8 

08.  1 

i4 

213.7 

II  .2 

74 

273.6 

i4.3 

35 

35.o 

01  .8 

95 

94-9 

o5.o 

55 

i54.8 

08.  1 

1  5 

214.7 

IT.  3 

75 

274.6 

\A.A 

36 

36.o 

01  .9 

96 

95.9 

o5.o 

56 

i55.8 

08.2 

16 

215.7 

ii.  3 

76 

275.6    i4.4 

37 

36.9 

01  .9 

97 

96.9 

o5.i 

57 

i56.8 

08.2 

17 

216.7 

ii.  4 

77 

276.6 

14.5 

38 

37.9 

02.0 

98 

97-9 

o5.i 

58 

167.8 

08.3 

18 

217.7 

11.4 

78 

277.6 

i4.5 

39 

38.9 

02.  o 

99 

98.9 

05.2 

59 

i58.8 

08.3 

X9 

218.7 

ii.  5 

79 

278.6 

i4.6 

4o 

39.9 

02.1 

100 

99-9 

05.2 

60 

i59.8 

08.4 

20 

219.7 

ii.  5 

80 

279.6 

14.7 

4i 

40.9 

02.1 

101 

100.9 

o5.3 

161 

160.8 

08.4 

221 

220.7 

11.6 

281 

280.6 

14.7 

42 

4i.9 

O2.  2 

02 

101  .9 

o5.3 

62 

161.8 

08.5 

22 

221  .7 

n.  6 

82 

281.6 

14.8 

43 

42.  9 

02.3 

o3 

102.9 

o5.4 

63 

162.8 

08.5 

2.3 

222.7 

n  .7 

83 

282.6 

14.8 

44 

43.  9 

02.  3 

o4 

103.9 

o5.4 

64 

i63.8 

08.6 

223.7 

11.7 

84 

283.6 

M-9 

45 

44.  Q 

02.4 

o5 

104.9 

o5.5 

65 

164.8 

08.6 

25 

224-7 

TT.8 

85 

284.6 

46 

45.9 

02.4 

06 

105.9 

o5.5 

66 

i65.8 

08.7 

26 

225.7 

ii.  8 

86 

285.6 

i5.o 

47 

46.  9 

02.  5 

07 

106.9 

o5.6 

67 

166.8 

08.7 

27 

226.7 

11.9 

87 

286.6 

i5.o 

i    48 

47-9 

02.  5 

08 

107.9 

o5.7 

68 

167.8 

08.8 

28 

227.7 

11.9 

88 

287.6 

i5.  i 

49 

48.  9 

02.6 

09 

108.9 

o5.7 

69 

168.8 

08.8 

29     228.7 

12.  0 

89 

288.6 

i5.i 

5o 

49-9 

02.6 

10 

109.8 

o5.8 

70 

169.8 

08.9 

3o 

229.7 

12.0 

90 

289.6 

l5.2 

'    5i 

5o.9 

02.7 

in 

no.  8 

o5.8 

171 

170.8 

08.  9 

23l 

230.7 

12.  1 

291 

290.6 

15.2 

52 

5i.o 

02.7 

12 

in.  8 

o5.9 

72 

171.8 

09.0 

32 

23l.7 

12.  I 

92 

291  .6 

i5.3 

53 

02.8 

i3 

112.  8 

o5.9 

73 

172.8 

09.1 

33 

232.7 

12.2 

93 

292.6 

i5.3 

54 

53.  9 

02.8 

i4 

ii3.8 

06.0 

74 

173.8 

09.1 

34 

233.7 

12.2 

94 

293.6 

i5.4 

55 

54.  o 

02.9 

i5 

n4.8 

06.0 

75 

174.8 

09.2 

35 

234.7 

12.3 

95 

294.6 

i5.4 

56 

55.  9 

02.9 

16 

ii5.8 

06.  i 

76 

175.8 

09.2 

36 

235.7 

12.4 

96 

295.6 

i5.5 

57 

56.9 

o3.o 

17 

116.8 

06.  i 

77 

176.8 

09.3 

37 

236.7 

12.4 

97 

296.6 

i5.5 

58 

57-9 

o3.o 

18 

117.8 

06.2 

177-8 

09.3 

38 

237.7 

12.5 

9» 

297.6 

i5.6 

59 

58.9 

o3.i 

19 

118.8 

06.2 

79 

178.8 

09.4 

39 

238.7 

12.5 

99 

298.6 

i5.6 

60 

59.9 

o3.i 

20 

119.8 

o6.3 

80 

179.8 

09.4 

4o 

239.7 

12.6 

3oo 

299.6 

i5.7 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist.|    Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  87  Degrees. 

Page  20]                                                                TABLE    II. 

Difference  of  Latitude  and  Departure  for  4  Degrees. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

01  .0 

OO.I 

61 

60.9 

o4-3 

121 

120.7 

08.4 

181 

180.6 

12.6 

24  1 

240.4 

IO 

2 

02.  o 

00.  I 

62 

61.8 

o4.3 

22 

121.7 

o8.5 

82 

181.6 

12.7 

42 

24i.4 

16.9 

3 

o3.o 

00.2 

63 

62.8 

o4-4 

23 

122.7 

08.6 

83 

182.6 

12.8 

43 

242.4 

17.0 

4 

o4.o 

oo.3 

64 

63.8 

o4.5 

24 

123.  7 

08.6 

84 

i83.6 

12.8 

44 

243.4 

17.0 

5 

o5.o 

oo.3 

65 

64-8 

o4.5 

25 

124.7 

08.7 

85 

i84.5 

12.9 

45 

244-4 

17.1 

6 

06.0 

00.4 

66 

65.8 

o4.6 

26 

125.7 

08.8 

86 

i85.5 

i3.o 

46 

245.4 

17.2 

7 

07.0 

oo.5 

67 

66.8 

04.7 

27 

126.7 

08.9 

87 

i86.5 

i3.o 

47 

246.4 

17.2 

8 

08.0 

00.6 

68 

67.8 

04.7 

28 

127.7 

08.9 

88 

187.5 

i3.i 

48 

247-4 

i7.3 

9 

09.0 

00.6 

69 

68.8 

04.8 

29 

128.7 

09.0 

89 

i88.5 

13.2 

49 

248.4 

17.4 

10 

10.  0 

00.7 

70 

69.8 

04.9 

3o 

129.7 

09.1 

90 

189.5 

i3.3 

5o 

249.4 

17.4 

ii 

II.  0 

00.8 

71 

70.8 

o5.o 

i3i 

i3o.7 

09.1 

191 

190.5 

i3.3 

25l 

25o.4 

I7.5 

12 

12.0 

00.8 

72 

71.8 

o5.o 

32 

i3i.7 

09.2 

92 

191  .5 

i3.4 

52 

25i.4 

17.6 

i3 

i3.o 

00.9 

?3 

72.8 

o5.i 

33 

l32.7 

09.3 

93 

192.5 

i3.5 

53 

252.4 

17.6 

i4 

i4.o 

01  .0 

74 

73.8 

05.2 

34 

i33.7 

09.3 

94 

193.5 

i3.5 

54 

253.4 

17.7 

i5 

i5.o 

or  .0 

75 

74-8 

05.2 

35 

i34-7 

09.4 

95 

i94.5 

i3.6 

55 

254.4 

17.8 

16 

16.0 

OI  .1 

76 

75.8 

o5.3 

36 

i35.7 

09.5 

96 

195.5 

i3.7 

56 

255.4 

17.9 

*7 

17.0 

01  .2 

77 

76.8 

o5.4 

37 

i36.7 

09.6 

97 

196.5 

13.7- 

57 

256.4 

17.9 

18 

18.0 

oi.3 

78 

77.8 

o5.4 

38 

137.7 

09.6 

98 

197.5 

i3.8 

58 

267.4 

18.0 

19 

19.0 

oi.3 

79 

78.8 

o5.5 

39 

i38.7 

09.7 

99 

198.5 

i3.9 

59 

258.4 

18.1 

20 

20.0 

01  .4 

80 

79.8 

o5.6 

4o 

139.  7 

09.8 

200 

199.5 

14.0 

60 

259.4 

18.1 

21 

20.9 

oi.5 

81 

80.8 

o5.7 

Mi 

i4o.7 

09.8 

201 

200.5 

14.0 

261 

260.4 

18.2 

22 

21.9 

oi.5 

82 

81.8 

o5.7 

42 

i4i-7 

09.9 

02 

2OI  .5 

14.1 

62 

261.4 

i8.3 

23 

22.9 

01.6 

83 

82.8 

o5.8 

43 

l42.7 

IO.O 

03 

202.5 

14.2 

63 

262.4 

i8.3 

24 

23.9 

01.7 

84 

83.8 

05.9 

44 

•i43.6 

10.  0 

o4 

203.5 

14.2 

64 

263.4 

18.4 

25 

24.9 

01.7 

85 

84.8 

05.9 

45 

i44-6 

IO.I 

o5 

204.5 

i4.3 

65 

264.4 

i8.5 

26 

.5.9 

01.8 

86 

85.8 

06.0 

46 

i45.6 

IO.2 

06 

2o5.5 

i4.4 

66 

265.4 

18.6 

27 

26.9 

01  .9 

87 

86.8 

06.  i 

47 

i46.6 

io.3 

07 

206.5 

i4.4 

67 

266.3 

18.6 

28 

27.9 

02  .0 

88 

87.8 

06.  i 

48 

147.6 

io.3 

08 

207.5 

i4.5 

68 

267.3 

18.7 

29 

28.9 

02.  o 

89 

88.8 

06.2 

49 

i48.6 

10.4 

09 

208.5 

14.6 

69 

268.3 

18.8 

3o 

29.9 

02.1 

9° 

89.8 

o6.3 

5o 

149-6 

io.5 

IO 

209.5 

14.6 

70 

269.3 

18.8 

3i 

3o.o 

O2.  2 

91 

90.8 

o6.3 

161 

i5o.6 

io.5 

211 

210.5 

14.7 

271 

270.3 

18.9 

32 

31.9 

02.2 

92 

91.8 

06.4 

52 

i5i.6 

10.6 

12 

211  .5 

i4.8 

72 

271.3 

19.0 

33 

32.9 

02.3 

93 

92.8 

o6.5 

53 

i52.6 

10.7 

13 

212.5 

14.9 

73 

272.3 

19.0 

34 

33.9 

02.4 

94 

93.8 

06.6 

54 

i53.6 

10.7 

M 

2i3.5 

14.9 

74 

273.3 

19.1 

35 

34.9 

O2.4 

95 

94.8 

06.6 

55 

i54.6 

10.8 

i5 

2i4.5 

i5.o 

75 

274.3 

19.2 

36 

35.9 

02.5 

96 

95.8 

06.7 

56 

i55.6 

10.9 

16 

ai5.5 

i5.i 

76 

275.3 

i9.3 

37 

36.9 

02.  6 

97 

96.8 

06.8 

57 

i56.6 

ii  .0 

17 

216.5 

i5.i 

77 

276.3 

i9.3 

38 

37.9 

02.7 

98 

97.8 

06.8 

58 

i57.6 

ii  .0 

18 

217.5 

15.2 

78 

277-3 

19.4 

39 

38.9 

02.7 

99 

98.8 

06.9 

59, 

i58.6 

ii  .1 

J9 

218.  5 

i5.3 

79 

278  3 

19.5 

4o 

39.9 

02.8 

100 

99.8 

07.0 

60 

169.6 

II  .2 

20 

219.5 

i5.3 

80 

279.3 

i9.5 

4i 

40.9 

02.9 

101 

100.8 

07.0 

161 

160.6 

II  .2 

221 

220.5 

i5.4 

281 

280.3 

19.6 

42 

4i.9 

02.9 

02 

101.8 

07.1 

62 

161.6 

ii.  3 

22 

221  .5 

i5.5 

82 

281.3 

19.7 

43 

42.9 

o3.o 

o3 

102.7 

07.2 

63 

162.6 

ii.  4 

23 

222.5 

i5.6 

83 

282.3 

'9-7 

44 

43.9 

o3.i 

04 

io3.7 

o7.3 

64 

i63.6 

11.4 

24 

223.5 

i5.6 

84 

283.3 

19.8 

45 

44-9 

o3.i 

o5 

104.7 

o7.3 

65 

164.6 

ii.  5 

25 

224.5 

i5.- 

85 

284.3 

19.9 

46 

45.9 

o3.2 

06 

105.7 

07.4 

66 

i65.6 

ii.  6 

26 

225.4 

i5.8 

86 

285.3 

20.0 

47 

46.9 

o3.3 

07 

106.7 

07.5 

67 

166.6 

ii.  6 

•27 

226.4 

i5.8 

87 

286.3 

20.0 

48 

47-9 

o3.3 

08 

107.7 

07.5 

68 

167.6 

ii.  7 

28 

227.4 

i5.9 

88 

287.3 

20.  I 

49 

48.9 

o3.4 

09 

108.7 

07.6 

69 

168.6 

ii.  8 

29 

228.4 

16.0 

89 

288.3 

20.2 

5o 

49.9 

o3.5 

IO 

109.7 

07.7 

70 

169.6 

11.9 

3o 

229.4 

16.0 

90 

289  3 

20.2 

"  5i 

5o.9 

o3.6 

III 

110.7 

07.7 

171 

1-70.6 

11.9 

23l 

23C.4 

16.1 

291 

290.3 

2o73~ 

52 

51.9 

o3.6 

12 

111.7 

07.8 

72 

i7i  .6 

12.0 

32 

a3i.4 

16.2 

92 

291  .3 

20.4 

53 

52.9 

o3.7 

i3 

111.7 

07.9 

73 

I72.6 

12.  1 

33 

232.4 

i6.3 

93 

292.3 

20.4 

54 

53.9 

o3.8 

i4 

U3.7 

08.0 

74 

173.6 

12.  I 

34 

233.4 

i6.3 

94 

293.3 

20.5 

55 

54-9 

o3.8 

i5 

114.7 

08.0 

75 

174.6 

12.2 

35 

234.4 

16.4 

95 

294.  3 

20.6 

56 

55.9 

o3.9 

16 

u5.7 

08.  1 

76 

175.6 

12.3 

36 

235.4 

i6.5 

96 

295.3 

20.6 

57 

56.9 

04.6 

17 

116.7 

08.2 

77 

176.6 

12.3 

37 

236.4 

i6.5 

97 

296.3 

20.  7 

58 

57.9 

04.0 

18 

117.7 

08.2 

78 

177.6 

12.4 

38 

237.4 

16.6 

98 

297.3 

20.8 

^ 

58.9 

04.1 

'9 

118.7 

08.3 

79 

178.6 

12.5 

39 

238.4 

16.7 

99 

298.3 

20.9 

60 

^9^. 

04.2 

20 

119.7 

08.4 

80 

179.6 

12.6 

4o 

239.4 

16.7 

3oo 

299.3 

20.9 

'list., 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  86  Degrees. 

TABLE    II.                                                                [Page  21 

Difference  of  Latitude  and  Departure  for  5  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist.j    Lat. 

Dep. 

i 

01  .O 

OO.I 

61 

60.8 

"bTT 

121 

120.5 

io.5 

181 

i8o.3l  i5.£ 

24  1 

240.1 

21  ,O 

2 

02.0 

00.2 

62 

61.8 

o5.4 

22 

121  .5 

10.6 

82 

i8i.3 

iS.CJ 

4a 

24  1  .  i 

2  1  .  1 

3 

o3.o 

oo.3 

63 

62.8 

o5.5 

23 

122.5 

10.7 

83 

182.3 

^•y 

i5.o 

43 

242. 

21  .2 

4 

o4.o 

oo.3 

64 

63.8 

o5.6 

24 

123.5 

10.8 

84 

i83.3 

y 

16.0 

44 

243. 

21.3 

5 

o5.o 

00.4 

65 

64.8 

o5.7 

25 

124.5 

10.9 

85 

184.3 

16.1 

45 

244. 

21  .4 

6 

06.0 

oo.5 

66 

65.7 

o5.8 

26 

125.5 

ii  .0 

86 

i85.3 

16.2 

46 

245. 

21  .4 

7 

07.0 

00.6 

67 

66.7 

o5.8 

27 

126.5 

ii  .1 

87 

186.3 

i6.3 

47 

246. 

21.5 

8 

08.0 

00.7 

68 

67.7 

05.9 

28 

127.5 

II  .2 

88 

187.3 

16.4 

48 

247. 

21.6 

9 

09.0 

00.8 

69 

68.7 

06.0 

^9 

128.5 

II  .2 

89 

i88.3 

i6.5 

49 

248. 

21  .7 

10 

10.  0 

00.9 

70 

69.7 

06.  i 

3o 

129.5 

II.  3 

90 

i89.3 

16.6 

5o 

249.0 

21.8 

ii 

II  .0 

01  .0 

7i 

70.7 

06.2 

i3i 

i3o.5 

ii.  4 

191 

i9o.3 

16.6 

25l 

250.0 

21  .9 

1,2 

12.0 

01  .0 

72 

71-7 

o6.3 

32 

i3i.5 

ii.  5 

92 

i9i.3 

16.7 

52 

25l  .O 

22  .O 

i3 

i3.o 

OI  .1 

73 

72.7 

06.4 

33 

i3a.5 

ii.  6 

93 

I92.3 

16.8 

53 

252  .O 

27  .  I 

i4 

i3.9 

01  .2 

74 

73.7 

06.4 

34 

i33.5 

11.7 

94 

»93.3 

i6.9 

54 

253.o 

29  .  1 

i5 

14.9 

oi.3 

75 

74-7 

o6.5 

35 

i34.5 

ii.  8 

95 

194.3 

17.0 

55 

254.0 

27.  -2 

16 

i5.9 

oi  .4 

76 

75.7 

06.6 

36 

i35.5 

11.9 

96 

i95.3 

17.1 

56 

255.o 

22.3 

i? 

16.9 

oi.5 

77 

76.7 

06.7 

37 

i36.5 

11.9 

97 

i96.3 

17.2 

57 

256.0 

22.4 

18 

17.9 

oi  .6 

78 

77-7 

06.8 

38 

i37.5 

12.  0 

98 

197-2 

i7.3 

58 

257.0 

22.5 

'9 

18.9 

01.7 

79 

78.7 

06.9 

39 

i38.5 

12.  I 

99 

I98.2 

i7.3 

59 

258.o 

22.6 

20 

i9-9 

Qi.7 

80 

79-7 

07.0 

4o 

139.5 

12.2 

200 

I99.2 

17.4 

60 

259.0 

22.7 

21 

20.9 

01.8 

81 

80.7 

07.1 

i4i 

i4o.5 

12.3 

201 

200.2 

i7.5 

261 

260.0 

22.7 

22 

21.9 

oi  .9 

82 

81.7 

07.1 

42 

i4i.5 

12.4 

O2 

2OI  .2 

17.6 

62 

261  .0 

22.8 

23 

22.9 

02.  o 

83 

82.7 

07.2 

43 

i42.5 

12.5 

o3 

202.2 

J7-7 

63 

262.0 

22.  9 

24 

23.9 

02.  i 

84 

83.7 

o7.3 

44 

i43.5 

12.6 

o4 

203.2 

17.8 

64 

263.0 

23.0 

25 

24.9 

02.2 

85 

84-7 

07.4 

45 

i44.4 

12.6 

o5 

204.2 

17.9 

65 

264.0 

23.1 

26 

25.9 

02.3 

86 

85.7 

o7.5 

46 

i45.4 

12.7 

06 

205.2 

18.0 

66 

265.0 

23.2 

27 

26.9 

02.4 

87 

86.7 

07.6 

47 

i46.4 

12.8 

07 

206    2 

18.0 

67 

266.0 

23.3 

28 

27.9 

02.4 

88 

87.7 

07.7 

48 

i4?-4 

12.9 

08 

207.2 

18.  i 

68 

267.0 

23.4 

29 

28.9 

02.5 

89 

88.7 

07.8 

49 

i48.4 

i3.o 

°9 

208.2 

18.2 

69 

268.0 

23.4 

3o 

29.9 

02.6 

90 

89.7 

07.8 

5o 

149.4 

i3.i 

10 

209.2 

i8.3 

70 

269.0 

23.5 

3i 

3o.o 

02.7 

9r 

90.7 

07.9 

i5i 

i5o.4 

13.2 

211 

210.2 

18.4 

271 

270.0 

23.6 

32 

3i.9 

02.8 

92 

91  .6 

08.0 

52 

i5i.4 

13.2 

12 

211  .2 

i8.5 

72 

271.0 

23.7 

33 

32.9 

02.9 

93 

92.6 

08.  i 

53 

i5a.4 

i3.3 

13 

212.2 

18.6 

?3 

272.0 

23.8 

34 
35 

33.9 
34.9 

o3.o 
o3.i 

9i 
95 

93.6,08.2 
94.6   o8.3 

54 

55 

i53.4 
i54.4 

i3.4 
i3.5 

i4 
i5 

2l3.2 
2l4.2 

18.7 
18.7 

74 
75 

273.0 
274.0 

23.9 
24.0 

36 

35.9 

o3.i 

96 

o5.6 

08.4 

56 

i55.4 

i3.6 

16 

2l5.2 

18.8 

76 

274.9 

24.1 

37 

36.  9 

03.2 

97 

96.6 

o8.5 

57 

i56.4 

i3.7 

17 

2l6.2 

18.9 

77 

275.9 

24.1 

38 

37-9 

o3.3 

98 

97.6 

o8.5 

58 

i57.4 

i3.8 

18 

217.2 

19.0 

78 

276.9 

24.2 

39 

38.9 

o3.4 

99 

98.6 

08.6 

59 

i58.4 

i3.9 

J9 

218. 

19.1 

79 

277.9 

24.3 

4o 

39.8 

o3.5 

IOO 

99  -6 

08.7 

60 

159.4 

i3.9 

20 

2I9. 

19.2 

80 

278.9 

24.4 

4. 

4o.8 

"oOT 

10  1 

100.6 

"08.8 

161 

i6o.4 

14.0 

221 

220. 

i9.3 

281 

279.9 

24.5 

42 

4i.8 

o3.7 

02 

101  .6 

08.9 

62 

161.4 

14.1 

22 

221  . 

i9.3 

82 

280.9 

24.6 

43 

42.8 

o3.7 

o3 

102.6 

09.0 

63 

162.4 

14.2 

23 

222. 

19.4 

83 

281.  9 

24.7 

44 

43.8 

o3.8 

o4 

io3.6 

09.1 

64 

i63.4 

i4.3 

24 

223. 

i9.5 

84 

282.  o 

24.8 

45 

44.8 

o3.9 

o5 

104.6 

09.2 

65 

i64.4 

i4.4 

25 

224. 

19.6 

85 

283.  9 

24.8 

46 

45.8 

04.0 

06 

io5.6 

09.2 

66 

i65.4 

i4.5 

26 

225. 

19.7 

86 

284.  9 

24.  9 

47 

46.8 

04.1 

07 

106.6 

09.3 

67 

166.4 

i4.6 

27 

226. 

19.8 

87 

285.  9 

25.0 

48 

47-8 

04.2 

08 

107.6 

09.4 

68 

167.4 

i4.6 

28 

227. 

19.9 

88 

286.  9 

25.1 

49 

48.8 

o4.3 

09 

108.6 

o9.5 

69 

168.4 

i4.7 

29 

228. 

20.0 

89 

287.  9 

25.2 

5o 

49.8 

o4-4 

10 

109.6 

09.6 

70 

169.4 

i4.8 

3o 

229. 

20.  0 

90 

288.  9 

25.3 

5i 

5o.8 

o4.4 

III 

i  [-0.6 

09.7 

171 

170.3 

14.9 

23  1 

230. 

20.1 

291 

289.9 

25.4 

52 

5i.8 

o4.5 

12 

ii  i  .6 

09.8 

72 

i7i.3 

i5.o 

32 

23l. 

20.2 

92 

200.  9 

25.4 

53 

52.8 

o4.6 

i3 

112.  6 

09.8 

73 

172.3 

i5.i 

33 

232. 

20.3 

93 

291.9 

25.5 

54 

53.8 

04.7 

i4 

n3.6 

09.9 

74 

i73.3 

15.2 

34 

233. 

2O.4 

94 

292.9 

25.6 

55 

54.8 

04.8 

i5 

if  4.6 

10.  0 

75 

174.3 

i5.3 

3b 

234. 

20.5 

95 

293.9 

25.7 

56 

55.8 

04.9 

16 

n5.6 

10.  I 

76 

175.3 

i5.3 

36 

235. 

20.6 

96 

294.9 

25.8 

57 

56.8 

o5.o 

17 

116.6 

10.2 

77 

176.3 

i5.4 

37 

236. 

20.7 

97 

295.9 

25.9 

58 

57.8 

o5.i 

18 

117.6 

io.3 

78 

177-3 

i5.5 

38 

237. 

20.7 

98 

296.9 

26.0 

59 

58.8 

o5.i 

J9 

n8.5 

10.4 

79 

178.3 

i5.6 

39 

238. 

20   8 

99 

297-9 

26.1 

60 

59.8 

05.2 

20 

119.5 

io.5 

80 

179.3 

i5.7 

4o 

239. 

20.9 

3oo 

298.9 

26.1 

Dist. 

ttepT 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  85  Degrees. 

i  \  —  

Page  22]                                                              TABLE    II. 

Difference  of  Latitude  and  Departure  for  6  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

01  .0 

00.  I 

61 

60.7 

o6.4 

121 

120.3 

12.6 

181 

180.0 

18.9 

24  1 

239.7 

25.2 

2 

02  .0 

00.2 

62 

61.  7 

o6.5 

22 

131.  3 

12.8 

82 

181.0 

19.0 

42 

240,7 

25.3 

3 

o3.o 

oo.3 

63 

62.7 

06.6 

23 

r;2.3 

12.9 

83 

182.0 

19.1 

43 

24i-7 

25.4 

4 

o4.o 

00.4 

64 

63.6 

06.  7 

24 

123.3 

i3.o 

84 

i83.o 

19.2 

44 

242.7 

25.5 

5 

o5.o 

oo.5 

65 

64.6 

»6.8 

25 

j?4.3 

i3.i 

85 

184.0 

19.3 

45 

243.7 

1:5.6 

6 

06.0 

00.6 

66 

65.6  06.9 

?6 

>a5.3 

l3.3 

86 

i85.o 

19.4 

46 

244.7 

25,7 

7 

07.0 

00.7 

67 

66.6  07.0 

y~ 

t^t>.3 

i3.3 

87 

186.0 

19.5 

4? 

245.6 

25.8 

8 

08.0 

00.8 

68 

67.6 

37.  i 

28 

127.3 

i3.4 

8S 

187.0 

19.7 

48 

246.6 

25  .9 

9 

09.0 

00.9 

69 

68.6 

07.2 

29 

128.3 

i3.5 

89 

188.0 

19.8 

49 

247.6 

26.0 

10 

09.9 

01  .0 

70 

69.6 

07.3 

3o 

1:19.3 

i3.6 

9° 

i89.o 

*9-9 

5o 

248.6 

26.1 

ii 

10.9 

01  .1 

7i 

70.6  07.4 

i3i 

i3o.3 

i3.7 

191 

190.0 

20.0 

25l 

249-6 

26.2 

12 

11.9 

oi.3 

72 

71.6  07.  j 

32 

i3i.3 

J.3.B 

92 

i9o.9 

20.1 

5a 

25o.6 

26.3 

i3 

12.9 

01  .4 

73 

72.6  07.6 

33 

i32.3 

£-.9 

93 

i9i.9 

20.2 

53 

a5i.6 

26.4 

i4 

13.9 

ci.5 

74 

73.6 

07.7 

34 

i33.3 

14.0 

94 

I92.9 

20.  3 

54 

252.6 

26.6 

i5 

14.9 

01  .6 

75 

74.6 

07.8 

35 

i34.3 

»4.i 

95 

i93.9 

20.4 

55 

253.6 

26.7 

16 

15.9 

01.7 

76 

75.6 

07.9 

36 

i35.3 

14.2 

96 

194.9 

20.5 

56 

254.6 

26.8 

*7 

16.9 

01.8 

77 

76.6 

08.0 

37 

*35.2 

i4.3 

97 

195.9 

20.  6 

57 

255.6 

26.9 

18 

17.9 

01  .9 

78 

77-6 

08.2 

38 

1  37.  2 

i4.<f 

98 

196.  9 

20.7 

58 

256.6 

27.0 

»9 

18.9 

02.  o 

79 

78.6 

o8.3 

39 

i38.2 

i4.5 

99 

197.9 

20.8 

59 

257.6 

27.1 

20 

19.9 

02.1 

80 

79.6 

08.4 

4o 

139.2 

14.6 

200 

198.9 

20.9 

60 

258.6 

27.2 

21 

20.9 

O2.  2 

81 

80.6 

o8.5 

i4i 

140.2 

J4.7 

201 

i99.9 

21  .0 

261 

259.6 

27.3 

22 

21.9 

02.3 

82 

81.6 

08.6 

42 

i4*  .2 

14.8 

O2 

200.  9 

21  .  I 

62 

260.6 

27.4 

23 

22.9 

O2.4 

83 

82.5 

08.7 

43 

142.2 

14.9 

o3 

201  .9 

21  .2 

63 

261.6 

27.5 

24 

23.9 

02.5 

84 

83.5 

08.8 

44 

143.2 

i5.i 

04 

202.9 

21.3 

64 

262.6 

27.6 

25 

24.9 

02  .6 

85 

84.5 

08.9 

45 

144.2 

15    2 

o5 

2o3.9 

21.  .4 

65 

263.5 

27.7 

26 

25.9 

02.7 

86 

85.5 

09.0 

46 

i45.2 

i5.3 

06 

204.9 

21.5 

66 

264.5 

27.8 

27 

26.9 

02.8 

87 

86.5 

09.1 

47 

i46. 

i5.4 

07 

205.9 

21.6 

67 

265.5 

27.9 

28 

27.8 

02  .9 

88 

87.5 

09.2 

48 

i47- 

i5.5 

08 

206.9 

21.7 

66 

>66.5 

28.0 

29 

28.8 

o3.o 

89 

88.5 

09.3 

49 

148. 

i5.6 

09 

207.9 

2!.  8 

69 

267.5 

28.1 

3o 

29.8 

o3.i 

90 

89.5 

09.4 

5o 

149- 

i5.7 

10 

208.8 

22.0 

70 

268.5 

28.2 

3i 

3o.8 

03.2 

91 

90.5 

09.5 

i  Si 

i5o. 

i5.8 

211 

"20978" 

22.  1 

271 

269.5 

aO" 

02 

3i.8 

o3.3 

92 

9..  5 

.x;.6 

52 

i5i. 

i5.9 

12 

210.8 

22.2 

72 

270.5 

28.4 

33 

32.8 

o3.4 

93 

92.5;  09.7 

53 

1  52.  2 

16.0 

i3 

211.8 

22.3 

73 

271  .5 

28.5 

34 

33.8 

o3.6 

94 

V3.5:o9.8 

54 

i53.a 

16.1 

i4 

212.8 

22.4 

74 

272.5 

28.6 

35 

34.8 

o3.7 

95 

94  5  1  09.9 

55 

i54.2 

16.2 

i5 

2i3.8 

22.  r> 

7  5 

273.5 

.8.7 

36 

35.8 

o3.8 

96 

95  5 

JO.O 

56 

i55. 

i6.3 

16 

•-M4.8 

22.1) 

76 

2-74.5 

28.8 

37 

36.8 

03:9 

97 

96.5 

1O.  1 

57 

1  56, 

16.4 

17 

ji5:tj 

?a.7 

77 

275.5 

29.0 

38 

37.8 

04.0 

^ 

97-5 

IO.2 

58 

i57. 

i6.5 

i<S 

aift.b 

3J.8 

78 

276.5 

29.1 

39 

38.8 

o4.  i 

99 

98.5 

jo.  3 

59 

i58. 

16.6 

19 

217.8 

3J.9 

79 

277.5 

29.2 

4o 

39.8 

04.2 

IOO 

99.5 

10.5 

60 

i59. 

16.7 

20 

»i8.a 

;3.<. 

bo 

278.5 

,9.3 

4« 

4o.8 

o4.3 

101 

100.4 

10.6 

161 

160. 

16.8 

2^1 

219.8    J  3  .  <, 

281 

3-79-5 

29.4 

42 

4i.8 

04.4 

02 

101  .4 

10.7 

62 

161. 

16.9 

22 

220.  S  i  j3.  2 

R2 

ab«  •  .  5 

•.Kj.5 

43 

4a.8 

o4.5 

o3 

102.4 

10.8 

63 

162. 

17.0 

•;3 

221.8 

23.3 

83 

281  .4 

•jq.  6 

44 

43.8 

04.6 

o4 

io3.4 

10.9 

64 

i63. 

17.1 

?4 

22-J.8 

23.4 

84 

283.4     uq.7 

45 

44.8 

04.7 

o5 

io4-4 

11  .0 

65 

164. 

17.2 

->5 

»->3.8 

23.5 

85 

283.4 

20.8 

46 

45.7 

04.8 

06 

io5.4 

ii  .1 

66 

i65. 

17-4 

26 

aa4.8 

23.6 

86 

284.4  |  29.9 

47 

46.7 

04.9 

07 

106.4 

I  I  .2 

67 

166. 

i7.5 

27 

a:>5.3 

23.7 

87 

ao:>.4  !  3o.o 

48 

47-7 

o5.o 

08 

107.4 

ii.  3 

68 

167. 

17.6 

a6 

»at>.8 

23.8 

88 

286.4 

3u.i 

P 

48.7 

o5.i 

09 

108.4 

ii.  4 

69 

168. 

17.7 

*9 

rJrj.-i 

23.9 

89 

287.4 

30.2 

5o 

49-7 

05.2 

10 

109.4 

ii.  5 

70 

169. 

17.8 

V) 

-.'28.7 

24.0 

90 

•j.88.4 

3o.3 

5i 

5o.7 

"o5TI 

i  ii 

1  10.4 

"n.6 

171 

170. 

17.9 

all 

329.7 

24.1 

291 

209.4  ,  3o.4 

52 

5i.7 

o5.4 

12 

in  .4 

11.7 

72 

171. 

18.0 

32 

230.7 

24.3 

92 

290.4 

3o.5 

53 

52.7 

o5.5 

i3 

112.4 

n.  8 

73 

172. 

18.1 

33 

23l  .7 

24-4 

93 

291  .4 

3o.6 

54 

53.7 

o5.6 

i4 

ii3.4 

11.9 

74 

173.0 

18.2 

34 

232.7 

24.5 

94 

292.4 

30.7 

55 

54.7 

o5.7 

i5 

n4-4 

12.  0 

75 

i74.o 

i8.3 

35 

233.7 

24.6 

95 

293.4 

3o.8 

56 

55.7 

05.9 

16 

n5.4 

12.  I 

76 

175.0 

18.4 

36 

234-7 

24.7 

96 

294-4 

3o.o 

57 

56.7 

06.0 

17 

116.4 

12.2 

77 

176.0 

i8.5 

37 

235.7 

24.8 

97 

295.4 

3i.o 

58 

57.7 

06.  i 

18 

1  17.4 

12.3 

78 

177.0 

18.6 

38 

236.7 

24.9 

93 

296.4 

3i.i 

J9 

58.7 

06.2 

'9 

ii8.3 

12.4 

79 

178.0 

18.7 

39 

2*37.7 

25.0 

Q9 

297.4 

3i.3 

60 

59.7    o6.3 

20     119.3 

12.5 

80 

179.0 

18.8 

4o 

238.7 

25.1 

3oo 

298.4 

3i.4 

Dist.    Dep.  j  Lat.     Dist.     Dep.      Lat. 

Dist.     Dep. 

Lat. 

Dist. 

Dep. 

Lat.   |Dist. 

Dep. 

Lat. 

""  i 

[For  84  Degrees. 


TABLE    II.                                                                [Page  23 

Difference  of  Latitude  and  Departure  for  7  Degrees. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

I 

01  .0 

00.  1 

61 

6o.5 

07.4 

121 

120. 

14.7 

181 

179.7 

22.1 

241 

239.2 

29.4 

2 

02.0 

00.2 

62 

6i.5 

07.6 

22 

121  . 

i4-9 

82 

180.6 

22.2 

42 

240.2 

29.5 

3 

o3.o 

GO.  4 

63 

62.5 

07.7 

23 

122. 

i5.o 

83 

181.6 

22.3 

43 

24l  .2 

~  ,. 
29.0 

4 

o4.o 

oo.5 

64 

63.5 

07.8 

24 

123. 

i.5.  i 

84 

182.6 

22.4 

44 

242  .  2 

7 

29.7 

5 

o5.o 

00.6 

65 

64.5 

07.9 

25 

124. 

15.2 

85 

i83.6 

22.5 

45 

243.2 

7      i 

20.  0 

6 

06.0 

00.7 

66 

65.5 

08.0 

26 

125. 

i5.4 

86 

184.6 

22.7 

46 

244-2 

3o.o 

7 

06.9 

00.9 

67 

66.5 

08.2 

27 

126. 

i5.5 

87 

i85.6 

22.8 

47 

245.2 

3o.i 

8 

07.9 

01  .0 

68 

67.5 

o8.3 

28 

127.0 

i5.6 

88 

186.6 

22.9 

48 

246.2 

30.2 

9 

08.9 

01  .  I 

69 

68.5 

08.4 

29 

128.0 

i5.7 

89 

187.6 

23.0 

49 

247. 

3o.3 

10 

09.9 

01  .2 

70 

69.5 

o8.5 

3o 

129.0 

i5.8 

9° 

188.6 

23.2 

56 

248. 

3o.5 

1  1 

10.9 

oi.3 

7i 

7o.5 

08.7 

i3i 

i3o.o 

16.0 

191 

189.6 

23.3 

25l 

249. 

3o.6 

12 

11.9 

oi.5 

72 

7i.5 

08.8 

32 

i3i  .0 

16.1 

92 

190.6 

23.4 

52 

250. 

3o.7 

i3 

12.9 

01  .6 

73 

72.5 

08.9 

33 

l32.0 

16.2 

93 

191  .6 

2.3.5 

53 

25l. 

3o.8 

i4 

i3.9 

01.7 

74 

73.4 

09.0 

34 

i33.o 

i6.3 

94 

192.6 

23.6 

54 

252. 

3i.o 

i5 

14.9 

01.8 

75 

74-4 

09.1 

35 

i34.o 

i6.5 

95 

193.5 

23.8 

55 

253. 

3i.i 

16 

i5.9 

01  .9 

76 

75.4 

o9.3 

36 

i35.o 

16.6 

96 

194.5 

23.9 

56 

254. 

3l.2 

17 

16.9 

02.  I 

77 

76.4 

09.4 

37 

i36.o 

16.7 

97 

195.5 

24.0 

57 

255. 

3i.3 

18 

17.9 

02.2 

78 

77-4 

09.5 

38 

137.0 

16.8 

98 

i96.5 

24.1 

58 

256. 

3i.4 

19 

18.9 

02.3 

79 

78.4 

09.6 

39 

i38.o 

16.9 

99 

197.5 

24.3 

59 

267.1 

3i.6 

20 

19.9 

02.4 

80 

79-4 

09.7 

4o 

139.0 

17.1 

200 

.98.5 

24.4 

60 

258.i 

3i.7 

21 

20.8 

02.6 

81 

80.4 

09.9 

i4i 

139.9 

17.2 

201 

199.5 

24.5 

261 

269.  i 

3i.8 

22 

21.8 

02.7 

82 

81.4 

IO.O 

42 

140.9 

i7.3 

02 

200.5 

24.6 

62 

260.0 

3i.9 

23 

22.8 

02.8 

83 

82.4 

10.  I 

43 

141.9 

17-4 

03 

201  .5 

24.7 

63 

261  .0 

32.1 

24 

23.8 

02  .9 

84 

83.4 

10.2 

44 

142.9 

i7.5 

o4 

2O2  .5 

24.9 

64 

262.0 

32.2 

25 

24.8 

o3.o 

85 

84.4 

10.4 

45 

i43.o 

17.7 

o5 

2o3.5 

25.0 

65 

263.0 

32.3 

26 

a5.8 

03.2 

86 

85.4 

io.5 

46 

144.9 

17.8 

06 

2o4.5 

25.1 

66 

264.0 

32.4 

27 

26.8 

o3.3 

87 

86.4 

10.6 

•47 

i45.9 

17.9 

07 

205.5 

25.2 

67 

265.o 

32.5 

28 

27.8 

o3.4 

88 

87.3 

10.7 

48 

146.9 

18.0 

08 

206.4 

25.3 

68 

266.0 

32.7 

29 

28.8 

o3.5 

89 

88.3 

10.8 

49 

147.9 

18.2 

09 

207.4 

25.5 

69 

267  .  o 

32.8 

3o 

29.8 

o3.7 

9° 

89.3 

II  .0 

5o 

148.9 

i8.3 

10 

208.4 

25.6 

70 

268.0 

32.9 

3i 

3o.8 

o3.8 

9! 

90.3 

1  1  .  i 

i5i 

149.9 

18.4 

211 

209.4 

25.7 

271 

269.0 

33.0 

3? 

3i.8 

03.9 

92 

9i.3 

I  I  .2 

52 

i5o-9 

i8.5 

12 

210.4 

25.8 

72 

270.0  |  33.  i 

33 

32.8 

04.0 

93 

9P..3 

ii.  3 

53 

i5i  .9 

18.6 

i3 

211  .4 

26.0 

78    271  .c  |  33.3 

34 

33.7 

o4.  i 

94 

93.3 

n.  5 

54 

152.9 

18.8 

i4 

212.4 

26.1 

74    272.0 

33.4 

35 

34-7 

o4.3 

95 

94.3 

11.  6 

55 

i53.8 

18.9 

i5 

2i3.4 

26.2 

75 

273.0 

33.5 

36 

35.7- 

o4-4 

96 

95.3 

11.7 

56 

i54.8 

19.0 

16 

214.4 

26.3 

76 

273.9 

33.6 

37 

36.7 

o4.5 

97 

96.3 

11.  8 

57 

i55.8 

19.1 

17 

2i5.4 

26.4 

77 

274.9 

33.8 

38 

37-7 

04.6 

98 

97-3 

11.9 

58 

i56.8 

19.3 

18 

216.4 

26.6 

78 

275.9 

33.9 

39 

38.7 

04.8 

99 

98.3 

12.  I 

59 

167.8 

19.4 

J9 

217.4 

26.7 

79 

276.9 

34.o 

4o 

39.7 

04.9 

100 

99-3 

12.2 

60 

i58.8 

i9.5 

20 

218.4 

2.6.8 

80 

277.  9.  34.i 

4r 

40.7 

o5.o 

IOI 

100.2 

12.3 

161 

159.8 

19.6 

221 

219.4 

26.9 

281 

278.  9 

34.2 

42 

4i-7 

o5.i 

02 

IOI  .2 

12.4 

62 

160.8 

19.7 

22 

220.3 

27.1 

82 

279.9 

34-4 

43 

42-7 

05.2 

o3 

102.2 

12.6 

63 

161.8 

19.9 

23 

221.3 

27.2 

83 

280  .  9 

34.5 

44 

43.7 

o5.4 

o4 

103.2 

12.7 

64 

162.8 

20.0 

24 

222.3 

27.3 

84 

281.  9 

34.6 

45 

44-7 

o5.5 

o5 

104.2 

12.8 

65 

i63.8 

20.  I 

25 

223.3 

27.4 

85 

282.9 

34-7 

46 

45.7 

o5.6 

06 

io5.  2 

12-9 

66 

164.8 

20.2 

26 

224.3 

27.5 

86 

283.9 

34-9 

47 

46.6 

o5.7 

07 

106.2 

i3.o 

67 

i65.8 

20.4 

27 

225.3 

27.7 

87 

284.9 

35.o 

48 

47-6 

o5.8 

08 

IO7.2 

l3.2 

68 

166.7 

20.5 

28 

226.3 

27.8 

88 

285.9 

35.i 

49 

48.6 

06.0 

09 

108.2 

r3.3 

69 

167.7 

20.6 

29 

227.3 

27.9 

89 

286.8 

35.2 

5o 

49-6 

06.1 

10 

109.2 

i3.4 

70 

168.7 

20-7 

3o 

228.3 

28.0 

9° 

287.8 

35.3 

5i 

5o.6 

06.2 

in 

I  10.2 

i3.5 

171 

169.7 

20.8 

23  I 

229.3 

28.2 

29, 

288.8 

35.5 

52 

5t.6 

o6.3 

12 

III  .2 

i3.6 

72 

170.7 

21  .0 

32 

23o.3 

28.3 

92 

289.8 

35.6 

53 

52.6 

o6.5 

i3 

I  12.2 

i3.8 

73 

171.7 

21  .1 

33 

23i.3 

28.4 

93 

290.8 

35.7 

54 

53.6 

06.6 

i4 

II3.2 

i3.9 

74 

172.7 

21  .2 

34 

232    3 

28.5 

94 

291  .8 

35.8 

55 

54.6 

06.7 

i5 

Il4-I 

i4-o 

75 

;73.7 

21.3 

35 

233.2 

28.6 

95 

292.8 

3i>  .  o 

56 

55.6 

06.8 

16 

iiS.i 

i4.i 

76 

174-7 

21.4 

36 

234.2 

28.8 

96 

293.8 

36  i 

57 
58 

56.6 
57.6 

06.9 
07.1 

17 
18 

116.1 
117.1 

i4-3 
i4-4 

77 
78 

175.7 
176.7 

21.6 
21.7 

37 
38 

235.2 
236.2 

28.9 

29.0 

97 

98 

294.8 
295.8 

36.2 
36.3 

59 
60 

58.6 
59.6 

07.2 
o7.3 

»9 

20 

118.1 
1  19.1 

i4.5 
i4.6 

79 

80 

177-7 
178.7 

21.8 

21.9 

39 
4o 

237.2 

238.2 

29.1 
29.2 

99 

3oo 

296.8 
297.8 

36.4 
36.6 

Wsu 

Dep. 

Lat. 

Dist, 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist.     Dep. 

Lat. 

[For  83  Degrees. 

Page  24]                                                                 TABLE    II. 

Difference  of  Latitude  and  Departure  for  8  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist.1 

Lat. 

Dep. 

i 

01  .0 

00.  1 

61 

6o.4 

o8.5 

121 

119.8 

16.8 

181 

179.2 

25.2 

24  1 

238.7 

33.5 

2 

02.  o 

oo.3 

62 

6i.4 

08.6 

22 

120.8 

17.0 

82 

180.2 

25.3 

42 

239.6 

33.7 

3 

o3.o 

00.4 

63 

62.4 

08.8 

23 

121.  8 

17.1 

83 

181.2 

25.5 

43 

240.6 

33.8 

4 

04.0 

00.6 

64 

63.4 

08.9 

24 

122.8 

I7.3 

84 

182.2 

25.6 

44 

241.6 

34.o 

5 

o5.o 

00.7 

65 

64.4 

09.0 

25 

123.8 

17-4 

85 

i83.2 

25.7 

45 

242.6 

34.i 

6 

o5  .0 

00.8 

66 

65.4 

09.2 

26 

124.8 

I7.5 

86 

184.2 

25.9 

46 

243.6 

34.2 

7 

.,  y 

06.9 

01  .0 

67 

66.3 

09.3 

27 

125.8 

17.7 

87 

i85.2 

26.0 

47 

244.6 

34-4 

g 

07.9 

OI.I 

68 

67.3 

09.5 

28 

126.8 

17.8 

88 

186.2 

26.2 

48 

245.6 

34.5 

9 

08.9 

oi.3 

69 

68.3 

09.6 

29 

127.7 

18.0 

89 

187.2 

26.3 

49 

246.6 

34-7 

10 

09.9 

01  .4 

70 

69.3 

09.7 

3o 

128.7 

18.1 

9° 

188.2 

26.4 

5o 

247.6 

34.8 

ii 

10.9  I  oi  .5 

7i 

70.3 

09.9 

i3i 

129.7 

18.2 

191 

189. 

26.6 

25l 

248.6 

34.  9 

12 

11.9    01  .7 

72 

7i.3 

IO.O 

32 

i3o.7 

18.4 

92 

190. 

26.7 

52 

249.5 

35.i 

i3 

12.9 

01.8 

73 

72.3 

IO.2 

33 

i3i  .7 

i8.5 

93 

191. 

26.9 

53 

25o.5 

35.2 

i4 

13.9 

oi  .9 

74 

73.3 

io.3 

34 

i32.7 

18.6 

94 

192. 

27.0 

54 

25i.5 

35.3 

i5 

i4-Q 

02.1 

75 

74.3 

10.4 

35 

i33.7 

18.8 

95 

i93. 

27.1 

55 

252.5 

35.5 

16 

i5.8 

O2.  2 

76 

75.3 

10.6 

36 

i34«7 

18.9 

96 

i94. 

27.3 

56 

253.5 

35.6 

i? 

16.8 

02.4 

77 

76.3 

10.7 

37 

i35.7 

19.1 

97 

i95. 

27.4 

57 

254.5 

35.8 

18 

17.8 

02.5 

78 

77.2 

10.9 

38 

i36.7 

I9..2 

98 

196. 

27.6 

58 

255.5 

35.9 

19 

18.8 

02.6 

79 

78.2 

II  .0 

39 

137.7 

i9.3 

99 

I97- 

27.7 

59 

256.5 

36.o 

20 

19.8 

02.8 

80 

79.2 

ii  .1 

4o 

i38.6 

i9.5 

200 

198. 

27.8 

60 

257.5 

36.2 

21 

?o.8 

02.9 

~8T 

80.2 

11.  3 

Mi 

i39.6 

19.6 

201 

199.0 

28.0 

261 

258.5 

36.3 

22 

21.8 

o3.i 

82 

81.2 

ii.  4 

42 

i4o.6 

19.8 

O2 

200.0 

28  i 

62 

259.5 

36.5 

23 

22.8 

03.2 

83 

82.2 

ii.  6 

43 

i4i.6 

19.9 

o3 

201  .O 

28.3 

63 

260.4 

36.6 

24 

23.8 

o3.3 

84 

83.2 

ii  .7 

44 

142.6 

20.0 

o4 

202.  0 

28.4 

64 

261.4 

36.7 

25 

24.8 

o3.5 

85 

84.2 

ii.  8 

45 

i43.6 

20.2 

o5 

203.0 

28.5 

65 

262.4 

36.9 

26 

25.7 

o3.6 

86 

85.2 

12.0 

46 

i44-6 

20.3 

06 

204.0 

28.7 

66 

263.4 

37.o 

27 

26.7 

o3.8 

87 

86.2 

12.  I 

47 

i45.6 

20.5 

07 

205.0 

28.8 

67- 

264.4 

37.2 

28 

27.7 

03.9 

88 

87.1 

12.2 

48 

i46.6 

20.6 

08 

206.0 

28.9 

68 

265.4 

37.3 

29 

28.7 

04.0 

89 

88. 

12.4 

49 

i47-5 

2O.7 

09 

207.0 

29.I 

69 

266.4 

37-4 

3o 

29.7 

04.2 

9° 

89. 

12.5 

5o 

i48.5 

20.  9 

10 

208.0 

29.2 

70 

267.4 

37.6 

3i 

3o.7 

o4.3 

91 

90. 

12.7 

i5i 

i49.5 

21  .0 

211 

208.  9 

29.4 

271 

268.4 

37-7 

32 

3i.7 

04.  5 

92 

91. 

12    8 

52 

i5o.5 

21  .2 

12  |  209.9 

29.5 

72 

209.4 

37  9 

33 

32.7 

04.6 

93 

92. 

12.9 

53 

i5i.5 

21.3 

13 

210.  9 

29.6 

73 

270.3 

38.o 

34 

33.7 

04.7 

94 

93. 

i3  i 

54 

i52.5 

21.4 

i4 

211  .9 

29.8 

74 

271  .3 

38.i 

35 

34-7 

04.9 

95 

94. 

13.2 

55 

i53.5 

21.6 

i5 

212.  9 

29.9 

75 

272.3 

38.3 

36 

35.6 

o5.o 

96 

95. 

i3  4 

56 

i54.5 

21.7 

16 

2i3.9 

3o.i 

76 

273.-3 

38.4 

37 

36.6 

o5.i 

97 

96. 

i3.5 

57 

i55.5 

21.  9 

17 

214-9 

30.2 

77 

274.3 

38  6 

36 

37.6 

o5.3 

98 

97.0 

i3.6 

58 

i56.5 

22.  0 

18 

2i5.9 

3o.3 

78 

275.3 

38.  7 

39 

38.6 

o5.4 

99 

98.0 

i3.8 

59 

i57.5 

22.1 

r9 

216.9 

3o.5 

79 

276.3 

38.8 

4o 

39.6 

o5.6 

IOO 

99.0 

i3.9 

60 

t58.4 

22.3 

20 

217-9 

3o.6 

80 

277-3 

39.o 

4i 

4o.6 

"BTy 

101 

IOO.O 

14.1 

161 

75^7 

~22~7Z 

221 

TfO" 

~3o78~ 

281 

278.3 

39.i 

42 

4i.6 

o5.8 

02 

101  .0 

.4.2 

62 

160.4 

22.5 

22 

219.8 

30.9 

82 

279.3 

3$.  2 

43 

42.6 

06.0 

o3 

1  02  .0  i  1  4.  3 

63 

161.4 

22.7 

23 

220.8 

3i  .0 

83 

280.2 

3$.4 

44 

43.6 

06.  i 

o4 

io3.o    i4.5 

64 

162.4 

22.8 

24 

221.8 

3l.2 

84 

281.2 

39.5 

45 

44.6 

o6.3 

o5 

104.0 

i4  6 

65 

i63.4 

23.0 

25 

222.8 

3i.3 

85 

282.2 

39.7 

46 

45.6 

06.4 

06 

io5.o 

i4.8 

66 

i64.4 

23.1 

26 

223.8 

3i.5 

86 

283.2 

39.8 

4? 

46.5 

o6.5 

07 

106.0 

i4.9 

67 

i65.4 

23.2 

27 

224.8 

3i.6 

87 

284.2 

39.9 

48 

47-5 

06.7 

08 

106.9 

i5  o 

68 

166.4 

23.4 

28 

225.8 

3i.7 

88 

285.2 

4o.i 

49 

48.5 

06.8 

09 

107.9 

i5> 

69 

167.4 

23.5 

29 

226.8 

3i.9 

89 

286.2 

40.2 

5o 

49.5 

07.0 

10 

108.9 

1  5.  3 

70 

i68.3 

23.7 

3o 

227.8 

32.0 

90 

287.2 

4o.4 

5i 

5o.5 

07.1 

II  I 

109.9 

i5.4 

171 

169.3 

23.8 

23l 

228.8 

32.1 

291 

288.2 

4o.5 

52 

51-5 

07.2 

12 

110.9 

i5.6 

72 

170.3 

23.  9 

32 

220.7 

32.3 

92 

289.2 

4o.6 

53 

52.5 

07.4 

i3 

in  .9 

15.7 

73 

i7i.3 

24.i 

33 

23o.7 

32.4 

93 

290. 

4o.8 

54 

53-5 

o7.5 

i4 

112.9 

i5.9 

74 

172.3 

24.2 

34 

23i.7 

32.6 

94 

29I. 

40.9 

55 

54-5 

07.7 

i5 

113.9 

16.0 

75 

i73.3 

24-4 

35 

232.7 

32.7 

95 

202. 

4i.i 

56 

55-5 

07.8 

16 

114.9 

16  i 

76 

•174.3 

24.5 

36 

233.7 

32.8 

96 

293. 

41.2 

57 

56.4 

07.9 

17 

u5.9 

16  3 

77 

i75.3 

24.6 

37 

234.7 

33.o 

97 

294. 

4i.3 

58 

57-4 

08.  i 

18 

116.9 

i6'4 

78 

176.3 

24.8 

38 

235.7 

33.i 

98 

295. 

4i.5 

59 

58.4io8.2 

19 

117.  8 

16.6 

79 

177-3 

24.9 

39 

236.7 

33.3 

99 

296. 

4i  6 

60 

59-4|°8.4 

20 

118.8 

16.7 

80 

I  78  .  2 

25.1 

4o 

237.7 

33.4 

3oo 

297. 

4i.6 

Dist.,1  Dep.  1  Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat." 

[For  82  Degrees. 

TABLE    II                                                                  LPage25 

Difference  of  Latitude  and  Departure  for  9  Degrees. 

DistJ  Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

I 

oi  .0 

00.2 

61 

60.2 

o9.5 

121 

119.5 

"18.9 

181 

178.8 

28.3 

24  1 

238.0 

37.7 

2 

02.0 

oo.3 

62 

61.2 

o9.7 

22 

120.5 

19.1 

82 

179.8 

28.5 

42 

239.0 

37.9 

3 

o3.o 

oo.5 

63 

62.2 

°9-9 

23 

121.  5 

19.2 

83 

180.7 

28.6 

43 

2.40.0 

38.o 

4 

o4.o 

00.6 

64 

63.2 

10.  0 

24 

122.5 

<9.4 

84 

181.7 

28.8 

44 

24  1  .0 

38.2 

5 

o4.9 

00.8 

65 

64.2 

10.2 

25 

123.5 

19.  6 

85 

182.7 

28.9 

45 

242.0 

38.3 

6 

o5..9 

00.9 

66 

65.2 

io.3 

26 

124.4 

19.7 

86 

183.7 

29.1 

46 

243.0 

38.5 

7 

06.  9 

01  .1 

67 

66.2 

io.5 

27 

125.4 

19.9 

87 

iS4-7 

29.3 

47 

244.0 

38.6 

8 

07-  9 

oi.3 

68 

67.2 

10.6 

28 

126.4 

20.0 

88 

ifi5.7 

29.4 

48 

244.9 

38.8 

9 

08.  9 

01  .4 

69 

68.2 

10.8 

29 

127.4 

20.2 

89 

186.7 

29.6 

49 

245.9 

3g.o 

10 

_°9_-9_ 

oi  .6 

70 

69.1 

II  .0 

3o 

128.4 

20.3 

90 

187.7 

29.7 

5o 

246.9 

39.i 

ii 

10.9 

oi.  7 

7i 

70. 

ii  .1 

i3i 

129.4 

20.5 

191 

188.6 

29.9 

»5i 

24-7.9 

39.3 

12 

11.9 

oi  .9 

72 

71- 

ii.  3 

32 

i3o.4 

20.  6 

92 

189.6 

3o.o 

52 

248.9 

39.4 

i3 

12.8 

02.  0 

73 

72. 

ii.  4 

33 

i3i.4 

20.8 

93 

190.6 

30.2 

53 

249.9 

39.6 

i4 

i3.8 

02.2 

74 

73. 

11.6 

34 

i3a.4 

21  .O 

94 

191  .6 

3o.3 

54 

260.9 

39.7 

i5 

i4.8 

02.3 

75 

74- 

11.7 

35 

i33.3 

21  .1 

95 

192.6 

3o.5 

55 

25l  .9 

39.9 

16 

i5.8 

02.5 

76 

75. 

ii.  9 

36 

i34.3 

21.3 

96 

193.6 

3o.7 

56 

252.8 

4o.o 

17 

16.8 

02.7 

77 

76. 

12.0 

37 

i35.3 

21.4 

97 

194.6 

3o.8 

57 

253.8 

40.2 

18 

i7.8 

02.8 

78 

77.0 

12.2 

38 

i36.3 

21.6 

98 

195.6 

3i  .0 

58 

254-8 

4o.4 

19 

18.8 

o3.o 

79 

78.0 

12.4 

39 

i37.3 

21.  7 

99 

196.5 

3i.i 

59 

255.8 

4o.5 

20 

19.8 

o3.i 

80 

79.0 

12.5 

4o 

i38.3 

21.9 

200 

197.5 

3i.3 

60 

256.8 

40.7 

21 

20.  7 

o3~TT 

81 

80.0 

12.7 

MI 

"i39.3 

22.1 

20  1 

198.5 

3i.4 

261 

257.8 

40.8 

22 

21.7 

o3.4 

82 

81.0 

12.8 

42 

i4o.3 

22.2 

02 

199.5 

3i.6 

62 

258.8 

4i  .0 

23 

22.7 

o3.6 

83 

82.0 

i3.o 

43 

i4i  .2 

22.4 

o3 

200.5 

3i.8 

63 

259.8 

4i.i 

24 

23.7 

o3.8 

84 

83.o 

i3.i 

44 

142.2 

22.5 

o4 

201  .5 

3i.9 

64 

260.  7 

4i.3 

25 

24-7 

o3.9 

85 

84.0 

i3.3 

45 

143.2 

22.  7 

o5 

202  .  5 

32.1 

65 

261  .7 

4i.5 

26 

25.7 

04.1 

86 

84.9 

i3.5 

46 

i44- 

22.8 

06 

203.5 

32.2 

66 

262.7 

4t.6 

27 

26.7 

04.2 

87 

85.9 

i3.6 

47 

i45. 

23.0 

07 

204.5 

32.4 

67 

263.7 

4i.8 

28 

27.7 

o4.4 

88 

86.9 

i3.8 

48 

i46. 

23.2 

08 

205.4 

32.5 

68 

264.7 

4i  .9 

29 

28.6 

o4.5 

89 

87.9 

i3.9 

49 

i47. 

a3.3 

09 

206.4 

32.7 

69 

265.7 

42.1 

3o 

29.6 

o4-7 

9° 

88.  9 

i4.i 

5o 

1  48. 

23.5 

10 

207.4 

32.9 

70 

266.7 

42.2 

3i 

3o.6 

04.8 

9i 

89-9 

14.2 

i5i 

149. 

23.6 

21  I 

208.4 

33.o 

271 

267.7 

42-4 

32 

3i.6 

o5.o 

92 

9°-9 

i4.4 

52 

i5o. 

23.8 

12 

209.4 

33.2 

72 

268.7 

42.6 

33 

32.6 

05.2 

93 

9i  .9 

i4.5 

53 

iSi. 

23.9 

13 

210.4 

33.3 

•7  3 

269.6 

42.7 

34 

33.6 

o5.3 

94 

92.8 

i4-7 

54 

152. 

24.1 

.14 

211  .4 

33.5 

74 

270.6 

42.  9 

35 

34.6 

o5.5 

0 

93.8 

i4-9 

55 

1  53. 

24.2 

i5 

212.4 

33.6 

75 

271  .6 

43.o 

36 

35.6 

o5.6 

96 

94-8 

i5.o 

56 

1  54. 

24-4 

16 

2i3.3 

33.8 

76 

272.6 

43.2 

37 

36.5 

o5.8 

97 

95.8 

l5.2 

57 

i55. 

24.6 

17 

214.3 

33.9 

77 

273.6 

43.3 

38 

37.5 

o5.9 

98 

96.8 

i5.3 

58 

1  56, 

24.  7 

18 

2i5.3 

34.i 

78 

274.6 

43.5 

39 

38.5 

06.  i 

99 

97.8 

i5.5 

59 

i57.o 

24.9 

'9 

216.3 

34.3 

Z9 

275.6 

43.6 

4o 

39.5 

o6.3 

100 

98.8 

i5.6 

60 

1  58.o 

25.0 

20 

217.3 

34-4 

80 

276.6 

43.8 

4i 

4o.5 

06.4 

IOI 

99-8 

7578" 

161 

169.0 

25.2 

221 

2i8.3 

34.6 

^8T 

277.5 

44.o 

42 

4i.5 

06.6 

02 

100.7 

16.0 

62 

160.0 

25.3 

22 

219.3 

34-7 

82 

278.5 

44.1 

43 

42.5 

06.7 

o3 

101  .7 

16.1 

63 

161  .0 

25.5 

23 

220.3 

34-9 

83 

279.5 

44.3 

44 

43.5 

06.  9 

o4 

102.7 

i6.3 

64 

162.0 

25.7 

24 

221  .2 

35.o 

84 

280.5 

44.4 

45 

44-4 

07.0 

o5 

io3.7 

16.4 

65 

i63.o 

25.8 

25 

222.2 

35.2 

85 

281.5 

44.6 

46 

45.4 

07.2 

06 

104.7 

16.6 

66 

164.0 

26.0 

26 

223.2 

35.4 

86 

282.5 

44-7 

47 

46.4 

07.4 

07 

io5-7 

16.7 

67 

164.9 

26.1 

27 

224-2 

35.5 

87 

283.5 

44-  9 

48 

47.4 

c7.5 

08 

106.7 

i6.9 

68 

165.9 

26.3 

28 

225.2 

35.7 

88 

284.5 

45.i 

J9 
5o 

48.4 
49.4 

07.7 
07.8 

°9 

10 

107.7 
108.6 

17.1 
17.2 

69 

70 

166.9 
16-7.9 

26.4 
26.6 

?9 

3o 

226.2 

227.2 

35.8 
36.o 

89 

90 

285.4 
286.4 

45.2 
45.4 

ii 

5o.4 

08.0 

in 

io9.6 

17.4 

i7i 

168.9 

26.8 

23l 

228.2 

"36TT 

291 

287.4 

45.5 

52 

5i.4 

08.  i 

12 

110.6 

i7.5 

•72 

169.9 

26.9 

32 

229. 

36.3 

9l 

288.4 

45.7 

53 

52.3 

o8.3 

i3 

in  .6 

17.7 

?3 

1-70.9 

27.I 

33 

230. 

36.4 

93 

289.4 

45.8 

54 

53.3 

08.4 

i4 

112.  6 

17.8 

74 

171.9 

27.2 

34 

23l. 

36.6 

94    290.4 

46.o 

55 

54.3 

08.6 

i5 

u3.6 

18.0 

75 

172.8 

27.4 

35 

232. 

36.8 

95 

291  .4 

46.1 

56 

55.3 

08.8 

16 

n4.6 

18.1 

76 

173.8 

27.5 

36 

233. 

36.9 

96 

292.4 

**     ** 

46.3 

57 
58 

1 

56.3 
57.3 
58.3 
5£.3_ 

08.  9 
09.1 

09.2 

o9.4 

*? 

18 
*9 

20 

u5.6 
ii6.5 

ii7.5 
n8.5 

co  in  <O  oo 

CO  CO  00  CO 

77 
78 

A 

174.8 
175.8 
176.8 

177.8 

27.  7 

27.8 
28.0 
28.2 

37 
38 

2 

234. 
235. 
236. 
237.0 

37.i 

37.2 

37.4 
37.5 

97 
98 

99 

3oo 

293.3 
294.3 
295.3 
396.3 

46.5 
46.6 
46.8 
46.  9 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

[For  81  Degrees. 

Page  26]                                                                TABLE    II. 

Difference  of  Latitude  and  Departure  for  10  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

D<;p. 

i 

01  .0 

00.2 

~6T 

60.  i 

10.6 

121 

179.2 

21  .0 

181 

178.3 

3i.4 

a4l 

237.3 

4i.8 

2 

02.0 

00.3 

62 

61.1 

10.8 

22 

120.         21.2 

82 

179.2 

3i.6 

42 

238.3 

42.0 

3'o3.o 

oo.5 

63 

62.0 

10.9 

23 

121  . 

21.4 

83 

180.2 

3i.8 

43 

239.3 

42.2 

4  03.9 

oo  7 

64 

63.o 

ii  .1 

24 

122. 

21.5 

84 

181.2 

32.0 

44 

24o.3 

42.4 

5   04.9 

oo  9 

65 

64.o 

ii.  3 

25 

123. 

21.7 

85 

182.2 

32.1 

45.24i.3 

42.5 

6  o5.Q 

or  .0 

66 

65.o 

ii.  5 

26 

124. 

21.9 

86 

i83.2 

32.3 

46 

242.3 

42.7 

7 

06.9 

01.2 

67 

66.0 

ii.  6 

27 

125. 

22.1 

87 

184.2 

32.5 

47 

243.2 

42.9 

8 

07.9 

oi.4 

68 

67.0 

n.  8 

28 

126. 

22.2 

88 

i85.i 

32.6 

48 

244.2 

43.  T 

9 

08.9  i  01.6 

69 

68.0 

12.0 

29 

127.0 

22.4 

89 

186.1 

32.8 

49 

P45.2 

43.2 

10 

09.8 

01.7 

70 

68.9 

12.2 

3o 

128.0 

22.6 

90 

187.1 

33.o 

5o 

246.2 

43.4 

ii 

10.8 

01  .9 

71 

69.9 

12.3 

i3i 

129.0 

22.7 

191 

188.1 

33.2 

i5i 

247.2 

43.6 

12 

n.  8 

r  2.1 

72 

70.9 

12.5 

32 

i3o.o 

22.9 

92 

189.1 

33.3 

52 

248.2 

43.8 

i3 

12.8 

C2.3 

73 

71.9 

12.7 

33 

i3i  .0 

23.  i 

93 

190.1 

33.5 

53 

249.2 

43.9 

i4 

i3.8 

02.4 

74 

72.9 

12.8 

34 

l32.0 

23.3 

94 

191.1 

33.7 

54 

250.1 

44.i 

i5 

i4-8 

02.  6 

75 

73.9 

i3.o 

35 

132.9 

23.4 

95 

192.0 

33.9 

55 

25I.I 

44.3 

16 

i5.8 

02.8 

76 

74-8 

13.2 

36 

1  33.0 

23.6 

96 

193.0 

34.0 

56 

252.1 

44.5 

17 

16.7 

o3.o 

77 

75.8 

i3.4 

37 

i34.9 

23.8 

97 

194.0 

34.2 

57 

253.1 

44.6 

18 

i?-7 

o3,i 

78 

76.8 

i3.5 

38 

i35.9 

24.0 

98 

195.0 

34-4 

58 

254.1 

44-8 

X9 

18.7 

o3.3 

79 

77.8 

i3.7 

39 

1  36.9 

24.1 

99 

196.0 

34.6 

59 

255.1 

45.o 

20 

*9-7 

o3.5 

80 

78.8 

i3.9 

4o 

137.9 

24.3 

200 

197.0 

34.7 

60 

256.1 

45.i 

21 

20.7 

o3.6 

8i~ 

79.8 

14.1 

i4i 

1  38.o 

24.5 

201 

197.9 

34-9 

261 

257.0 

45.3 

22 

21.7 

o3.8 

82 

80.8 

14.2 

42 

139.8 

24.7 

02 

198.9 

35.i 

62 

258.o 

45.5 

23 

22.7 

04.0 

83 

81.7 

i4.4 

43 

i4o.8 

24.8 

o3 

199.9 

35.3 

63 

259.0 

45.7 

24 

23.6 

04.2 

84 

82.7 

i4.6 

44 

i4i.8 

25.0 

o4 

200.9 

35.4 

64 

260  .  o 

45.8 

25 

24.6 

o4.3 

85 

83  7 

i4.8 

45 

142.8 

25.2 

o5 

201  .9 

35.6 

65 

26.1  .0 

46.o 

26,^5.6 

o4.5 

86 

84.7 

14.9 

46 

i43.8 

25.4 

06 

202.9 

35.8 

66 

262.0 

46.2 

27 

26.6 

04.7 

87 

85.7 

i5.i 

47 

i44.8 

25.5 

07 

203.9 

35.9 

67 

262.9 

46.4 

28 

27.6 

04.9 

88 

86.  -7 

i5.3 

48 

i45.8 

25.7 

08 

2O4.8 

36.i 

68 

263.9 

46.5 

29 

28.6 

o5.o 

89 

87.6 

i5.5 

49 

146.7 

25.9 

°9 

205.8 

36.3 

69 

264.9 

46.7 

3o 

29.5 

05.2 

9° 

88.6 

i5.6 

5o 

i47-7 

26.0 

10 

206.8 

36.5 

70 

265.9 

46.9 

3i 

3o.5 

~o5.4 

91 

89.6 

"iSTsT 

i5i 

148.7 

~a~67a" 

211 

207.8 

36.6 

271 

266.9 

47.1 

32 

3i.5 

o5.6 

92 

90.6 

16.0 

52 

149.7 

26.4 

12 

208.8 

36.8 

72 

267.9 

47-2 

33 

32.5 

o5.7 

93 

91  .6 

16.1 

53 

i5o.7 

26.6 

13 

209.8 

37.o 

73 

268.9 

47.4 

34 

33.5 

05.9 

94 

92.6 

i6.3 

54 

i5i.7 

26.7 

i4 

210.7 

37.2 

74 

269.8 

47.6 

35 

34.5 

06.  i 

95 

93.6 

i6.5 

55 

i52.6 

26.9 

i5 

211.7 

37.3 

75 

270.8 

47-8 

36 

35.5 

o6.3 

96 

94.5 

16.7 

56 

1  53.6 

27.1 

16 

212.7 

37.5 

76 

271.8  47.9 

37 

36.4 

06.4 

97 

95.5 

16.8 

57 

i54.6 

27.3 

17 

213.7 

37.7 

77 

272.8 

48.i 

38 

37.4 

06.6 

98 

96.5 

17.0 

58 

i55.6 

27.4 

18 

214.7 

37.9 

78 

273.8 

48.3 

^9 

38.4 

06.8 

99 

97-5 

17.2 

59 

1  56.6 

27.6 

!9 

215.7 

38.o 

79 

274.8 

48.4 

4o 

39.4 

06.9 

100 

98.5 

17-4 

60 

157.6 

27.8 

PC 

216.7 

38.2 

80 

275.7 

48.6 

4i~ 

40.4 

07.1 

101 

99.5 

i7.5 

161 

i58.6 

28.0 

221 

217.6 

38.4 

281 

276.7 

~48.8 

4s 

4i.4 

o7.3 

02 

100.5 

17-7 

62 

159.5 

28.1 

22 

218.6 

38.5 

82 

277.7 

49.0 

43 

4^.3 

o7.5 

o3 

101  .4 

17.9 

63 

i6o.5 

28.3 

23 

219.6 

38.7 

83 

278.7 

49.1 

44 

43.3 

07.6 

o4 

102.4 

18.1 

64 

i6i.5 

28.5 

24 

220.6 

38.9 

84 

279.7 

49-3 

45 

44-3 

07.8 

o5 

io3.4 

18.2 

65 

162.5 

28.7 

25 

221  .6 

39.i 

85 

280.7 

49.5 

46 

45.3 

08.0 

06 

104.4 

18.4 

66 

i63.5 

28.8 

26 

222.6 

39.2 

86 

281.7 

49-7 

47 

46.3 

08.2 

07 

io5  4 

18.6 

67 

1  64.  5 

29.0 

27 

223.6 

39.4 

87 

282.6 

49.8 

48 

47-3 

o8.3 

08 

106.4 

18.8 

68 

1  65.4 

29.2 

28 

224.5 

39.6 

88 

283.6 

5o.o 

49 

48.3 

o8.5 

09 

107.3 

18.9 

69 

166.4 

29.3 

29 

225.5 

39.8 

89 

284.6 

50.2 

5o 

49.2 

08.7 

10 

io8.3 

19.: 

70 

167.4 

29.5 

36 

226.5 

39.9 

90 

285.6 

5o.4 

5i 

50.2 

08.9 

III 

109.3 

i9.3 

171 

168.4 

29.7 

23l 

227.5 

4o.i 

291 

286.6 

5o.5 

52 

5i.a 

09.0 

12 

110.3 

19.4 

72 

169.4 

29.9 

32 

228.5 

4o.3 

92 

287.6 

5o.7 

53 

52.2 

09.2 

i3 

in.  3 

19.6 

73 

170.4 

«  '   ' 

3o.o 

33 

229.5 

4o.5 

93 

288.5 

5o.9 

54 

53.2 

09.4 

i4 

112.  3 

19.8 

74 

171.4 

30.2 

34 

23o.4 

4o.6 

94 

289.5 

5i  .1 

55 

54.2 

09.6 

i5 

n3.3 

20.0 

75 

172.3 

3o.4 

35 

23i.4 

4o.8 

95 

290.5 

5l.2 

56 

55.i 

09.7 

16 

114.2 

20.  I 

76 

173.3 

3o.6 

36 

232.4 

4i  .0 

9f>, 

291  .5 

5i.4 

5? 

56.i 

09.9 

17 

Il5.2 

20.  3 

77 

174.3 

3o.7 

37 

233.4 

41.2 

97 

292.5 

5i.6 

58 

57.i 

10.  I 

18 

I  l6.2 

20.5 

78 

175.3 

3o.o 

38 

234.4 

4i.3 

98 

293.5 

5i.7 

r9 

58.i 

10.2 

T9 

117.2 

20.7 

79 

176.3 

3i.i 

39 

235.4 

4i.5 

99 

294.5 

5i.9 

60 

5,., 

10.4 

20 

118.2 

20.8 

80 

177-3 

3i.3 

4o 

236.4 

41.7 

3oo 

295.4 

52.1 

Dist 

Dep.     Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep.      Lat. 

[Fir  30  Degrees. 

TABLE    II.                                                                   [Paat.  27 

Difference  of  Latitude  and  Departure  for  11  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat 

Dep. 

i 

oi  .0 

00.2 

~~6T 

-59^9 

ii.  6 

121 

n'8,8 

23.1 

787 

177.7 

34.5 

241 

236.6 

46.0 

2 

3 
4 
5 
6 

02.  o 
02.9 
o3.9 
04.9 
05.9 

00.4 

00.6 
00.8 

01  .0 
01  .1 

62 
63 
64 
65 
66 

60.9 
61.8 
'    62.8 
63.8 
64.8 

n.  8 

12.0 
12.2 

12.4 

12.6 

22 
2.3 
24 
25 
26 

119.8 
120.7 
121.7 
122.7 
123.7 

23.3 
23.5 
23.  7 
23.9 
24.0 

82 
83 
84 
85 
86 

178.7 
179.6 
180.6 
181.6 
182.6 

34.7 
34-9 
35.i 
35.3 
35.5 

43 
44 
45 
46 

237.6 
238.5 
209.5 
240.5 
24i.5 

46.2 
46.4 
46.6 
46.7 
46  o 

7 
8 

9 

06.9 
o7.9 
08.8 

oi  .3 

oi.5 
oi.  7 

67 
68 
69 

65.8 
66.8 
67-  7 

12.8 

i3.o 

13.2 

27 
28 

o9 

124.7 
125.6 
126.6 

24.2 
24.4 
24.6 

87 
88 
89 

i83.6 
i84.5 
i85.5 

35.  7 
35.9 
36.  i 

47 
48 
49 

242.5 
243.4 

244.4 

<-»\j  .y 

47.1 

47.3 
47.5 

10 

09.8 

oi  .9 

70 

68.  7 

i3.4 

3o 

127.6 

24.8 

90 

i86.5 

36.3 

5o  j  245.4 

47.7 

n 

~io.8 

02.1 

71 

69.  7 

i3.5 

i3i 

128.6 

25.0 

191 

187.5 

36.4 

257 

246.4 

47.Q 

12 

11.  8 

02.3 

72 

70.7 

i3.7 

32 

129.6 

25.2 

92 

i88.5 

36.6 

52 

247.4 

*-»  /  •  y 

48.i 

1  3 

12.8 

02.  5 

73 

71-7 

i3.9 

33 

i3o.6 

25.4 

93 

189.5 

36.8 

53 

248.4 

48.3 

i4 
i5 

i3.7 
1.4.7 

02.7 
02.9 

74 
75 

72.6 
73.6 

14.1 
i4.3 

34 
35 

i3i.5 

i32.5 

25.6 
25.8 

94 
95 

190.4 
191  .4 

37.o 

37.2 

54 
55 

249.3 
25o.3 

48.5 

48  7 

16 

i5.7 

o3.i 

76 

74.6 

i4.5 

36 

i33.5 

26.0 

96 

192.4 

37-4 

56 

25i.3 

*-l*J  *  / 

48.8 

17 

i6.7 

03.2 

77 

75.6 

i4.7 

37 

134.5 

26.1 

193.4 

37.6 

57 

252.3 

4o  o 

18 

i?.? 

o3.4 

78 

76.6 

14.9 

38 

1  35.5 

26.3 

98 

194.4 

37.8 

58 

253.3 

fy  ««-» 
49.  2 

'9 
20 

18.7 
19.6 

o3.6 
c3.8 

lo 

77-5 
78.5 

1  5.  '3 

39 
4o 

1  36.4 

i37.4 

26.5 

26.7 

99 

200 

'11 

i96.3 

38.o 
38.2 

59 

60 

254.2 

255.2 

49.4 
49.6 

21 

20.6 

04.0 

81 

79-5 

i5.5 

141 

i38.4 

26.9 

201 

197.3 

38.4 

261 

256.2 

4o.8 

-2 

21.6 

04.2 

82 

8o.5 

i5.6 

42 

i39.4 

27.1 

02 

198.3 

38.5 

62 

257.2 

y/ 
5o.o 

23 

22.6 

04.4 

83 

8i.5 

i5.8 

43 

i4o.4 

27.3 

03 

199.3 

38.  7 

63 

258.2 

50.2 

24 

23.6 

04.6 

84 

82.5 

16.0 

44 

i4i.4 

27.5 

04 

~ 

200.3 

38.  9 

64 

259.  1 

5o.4 

25 

24.5 

04.8 

85 

83.4 

16.2 

45 

i4a.3 

27.7 

o5 

201  .2 

39.i 

65 

260.  1 

5c.6 

26 

25.5 

o5.o 

86 

84.4 

16.4 

46 

1  43.  3 

27-9 

06 

202.2 

39.3 

66 

261  .  1 

5o  8 

27 

26.5 

05.2 

87 

85.4 

16.6 

47 

i44.3 

28.0 

07 

203.2 

39.5 

67 

262.1 

5o.9 

28 

27.5 

o5.3 

88 

86.4 

16.8 

48 

i45.3 

28.2 

08 

204.2 

39.  7 

68 

2.63  .  i 

5i   i 

29 

28.5 

o5.5 

89 

87.4 

I7.0 

49 

i46.3 

28.4 

°9 

205.2 

39.9 

69 

264  I 

5i.3 

3o 

29.4 

o5.7 

90 

88.3 

I7.2 

5o 

147.2 

28.6 

10 

206.  I 

4o  i 

70 

265.o 

5i.5 

~3T 

3o.4 

05.9 

9l 

89.3 

17.4 

i5i 

i48.2 

"2O" 

211 

207.  I 

4o.3 

271 

266.0 

?  

32 

3i.4 

06.  i 

92 

90.3 

17.6 

52 

149.2 

29.0 

12 

208.  I 

4o.5 

72 

267.0 

5i.*9 

33 

32.4 

o6.3 

93 

9i.3 

17.7 

53 

i5o.2 

29.2 

i3 

209.1 

4o.6 

73 

268.0 

34 

33.4 

o6.5 

94 

92.3 

17-9 

54 

l5l  .2 

29.4 

i4 

210.  I 

4o.8 

74 

269.0 

52^3 

35 

34.4 

06.7 

95 

93.3 

18.1 

55 

152.2 

29.6 

i5 

211  .0 

4i  .0 

75 

269.9 

52.5 

36 

35.3 

06.9 

96 

94-2 

i8.3 

56 

i53.i 

29.8 

16 

212.0 

41.2 

76 

270.  9 

52.7 

37 

36.3 

07.1 

97 

95.2 

i8.5 

57 

i54.i 

3o.o 

17 

2l3.0 

4i.4 

77 

271.  9 

52.9 

38    37.3 

o7.3 

98 

96.2 

18.7 

58 

i55.i 

3o.i 

18 

214.0 

4i.6 

78 

272.  9 

53.o 

39 

38.3 

07.4 

99 

97.2 

18.9 

59 

1  56.i 

3o.3 

19 

2  I  5  .  0 

4i.8 

79 

2-73.9 

53.2 

4o 

39.3 

07.6 

100 

98.2 

19.  i 

60 

i57.i 

3o.5 

20 

216.0 

42.0 

80 

274-9 

53.4 

4i 

40.2 

07.8 

I0£ 

99.1 

i9.3 

161 

i58.o 

3o.7 

221 

216.9 

42.2 

281 

275.8 

53.6 

42 

41.2 

08.0 

02 

100.  I 

i9.5 

62 

159.0 

30.9 

22 

217.  Q 

42.4 

82 

276.8 

53.8 

43 

42.2 

08    2 

o3 

101  .  I 

19-7 

63 

160.0 

3i  .  i 

23 

218.9 

42.6 

83 

277.8 

54.o 

44 

43.2 

08.4 

o4 

102.  I 

i9.8 

64 

161  .0 

3i.3 

24 

219.9 

42.  7 

84 

278.8 

54.2 

45 

44.2 

08.6 

o5 

io3.i 

20.  o 

65 

162.0 

3i.5 

25 

220.9 

42.9 

85    279.8 

54-4 

46 

45.2 

08.8 

06 

104.  1 

2O.  2 

66 

i63.o 

3i.7 

26 

221.8 

43.  i 

86 

280.7 

54.6 

47 

46.i 

09.0 

°7 

io5.o 

20.4 

67 

i63.9 

3i.9 

27 

222.8 

43.3 

87 

281  .7 

54.8 

48 

47.i 

09.2 

08 

1  06.0 

20.6 

68 

164.9 

32.1 

28 

223.8 

43.5 

88 

282.7 

55.o 

49 

48.i 

09.3 

09 

107.0 

20.8 

69 

165.9 

32.2 

29 

224.8 

43.7 

89 

283.7 

55.i 

5o 

49.  i 

09.5 

10 

108.0 

21  .0 

_7_o_ 

166.9 

32.4 

3o 

225.8 

43.9 

90 

284.7 

55.3 

5i 

5o.i 

09-7 

1  1  1 

109.0 

21  .2 

i7i 

167,9 

32.6 

23l 

226.8 

44.i 

291 

285  7 

55.5 

52 

5i.o 

09.9 

13 

109.9 

21.4 

72 

168.8 

32.8 

32 

227.7 

44-3 

92 

2.86.6 

55.  7 

53 

52.0 

IO.  I 

i3 

110.9 

21.6 

73 

169.8 

33.0 

33 

228.7 

44.5 

93 

287.6 

55.9 

54 

53.o 

io.3 

i4 

111.9 

21.8 

74 

170.8 

33.2 

34 

229.7 

44.6 

94 

288.6 

56.  i 

55 

54.0 

io.5 

i5 

112.9 

21.9 

75 

171.8 

33.4 

35 

230.7 

44-8 

95 

289.6 

56.3 

56 

55.o 

10.  7 

16 

1  13.9 

22.  I 

76 

172.8 

33.6 

36 

23i.7 

45.o 

96 

200.6 

56.5 

57 

56.o 

10.9 

17 

ii4.c 

22.3 

77 

i73.7 

33.8 

37 

232.6 

45.2 

97 

29i.5 

56.  7 

58 

56.9 

1  1  .  i 

18 

n5.8 

22.5 

78 

174-7 

34.o 

38 

233.6 

45.4 

98 

292.5 

56.9 

59 

57-9 

n.  3 

Z9 

116.8 

22.  7 

79 

175-7 

34.2 

39 

234.6 

45.6 

99 

293.5 

57.i 

60 

58.  9 

n.  4 

20 

117.8 

22.9 

80 

176.7 

34.3 

4o 

235.6 

45.8 

3oo 

294.5 

57.2 

Dist. 

Hep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep.  1  Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[F»;  79  Degrees. 

Page  28]                                                               TABLE    II. 

Difference  of  Latitude  and  Departure  for  12  Degrees. 

Hist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist.|    Lat. 

Dep. 

7" 

01  .0 

OO.2 

6l 

59-7 

12.7 

121 

118.4 

l572~ 

181 

177.0 

37.6 

241 

235.7 

5o.i 

2 

02.  o 

00.4 

62 

60.6 

12.9 

22 

119.3 

25.4 

82 

178.0 

37.8 

42 

236.7 

5o.3 

3 

02  .9 

00.6 

63 

61.6 

i3.i 

23 

120.3 

25.6 

83 

179.0 

38.o 

43 

237.7 

5o.5 

4 

03.9 

00.8 

64 

62.6 

i3.3 

24 

121.  3 

25.8 

84 

180.0 

38.3 

44 

238.7 

5o.7 

5 

04.9 

01  .0 

65 

63.6 

i3.5 

25 

122.3 

26.0 

85 

181.0 

38.5 

45 

239.6 

5o.o 

6 

05.9 

01.2 

66 

64.6 

i3.7 

26 

123.2 

26.2 

86 

i8i.9 

38.7 

46 

240.6 

5i.i 

7 

06.8 

oi.5 

67 

65.5 

i3.9 

27 

124-2 

26.4 

87 

182.9 

38.9 

47 

241.6 

5i.4 

8 

07.8 

01.7 

68 

66.5 

14.1 

28 

125.2 

26.6 

88 

i83.9 

39.T 

48 

242.6 

5i.6 

9 

08.8 

01  .9 

69 

67.5 

i4.3 

29 

126.2 

26.8 

89 

i84.Q 

39.3 

49 

243.6 

5i.8 

10 

09.8 

02.1 

70 

68.5 

14.6 

3o 

127.2 

27.0 

90 

i85.8 

39.5 

5o 

244.5 

52.0 

ii 

~io.8 

02.3 

7i 

69.4 

14.8 

i3i 

I28.I 

27.2 

191 

1  86.8 

39.7 

25l 

245.5 

52.2 

12 

11.7 

02.5 

72 

70.4 

i5.o 

32 

I29.I 

27-4 

92 

187.8 

39.9 

52 

246.5 

52.4 

i3 

12.7 

02.7 

73 

71-4 

15.2 

33 

i3o.i 

27.7 

93 

188.8 

4o.i 

53 

247.5 

52.6 

i4 

i3.7 

02.9 

74 

72.4 

i5.4 

34 

i3i.i 

27.9 

94 

189.8 

4o.3 

54 

248.4 

52.8 

i5 

14-7 

o3.i 

75 

73.4 

i5.6 

35 

l32.0 

28.1 

95 

190-7 

4o.5 

55 

240.4!  53.o 

16 

i5.7 

o3.3 

76 

74.3 

i5.8 

36 

i33.o 

28.3 

96 

191.7 

4o.8 

56 

25o.4 

53.2 

i? 

16.6 

o3.5 

77 

75.3 

16.0 

37 

i34.o 

28.5 

97 

192.7 

4i  .0 

57 

25i.4 

53.4 

18 

17.6 

o3.7 

78 

76.3 

16.2 

38 

i35.o 

28.7 

98 

193.7 

41.2 

58 

252.4 

53.6 

19 

18.6 

04.0 

79 

77-3 

16.4 

39 

i36.o 

28.9 

99 

194.7 

4i.4 

59 

253.3 

53.8 

20 

19.6 

04.2 

80 

78.3 

16.6 

4o 

i36.9 

_29J_i_ 

200 

195.6 

4i.6 

60 

254.3 

54-1 

21 

20.5 

04.4 

~8T 

79.2 

16.8 

i4i 

137.  9 

29.3 

2OI 

196.6 

4i.8 

261 

255.3 

54.3 

22 

21.5 

04.6 

82 

80.2 

17.0 

42 

i38.9 

29.5 

02 

197-6 

42.0 

62 

256.3 

54-5 

23 

22.5 

04.8 

83 

81.2 

i7.3 

43 

i39.9 

29.7 

03 

198.6 

42.2 

63 

257.3 

54.7 

24 

23.5 

o5.o 

84 

82.2 

i7.5 

44 

i4o.9 

29.9 

o4 

i99.5 

42.4 

64 

258.2 

54.9 

25 

24.5 

05.2 

85 

83.! 

17.7 

45 

i4i.8 

3o.i 

o5 

200.  5 

42.6 

65 

259.2 

55.i 

26 

25.4 

o5.4 

86 

84.i 

17.9 

46 

142.8 

3o.4 

06 

201.5 

42.8 

66 

260.2 

55.3 

27 

26.4 

o5.6 

87 

85.i 

18.1 

47 

i43.8 

3o.6 

07 

202.5 

43.o 

67 

26l.2 

55.5 

28 

27.4 

o5.8 

88 

86.1 

i8.3 

48 

i44.8 

3o.8 

08 

2o3.5 

43.2 

68 

262.1 

55.  7 

29 

28.4 

06.0 

89 

87.1 

i8.5 

49 

i45.7 

3i  .0 

09 

204.4 

43.5 

69 

263.1 

55.9 

3o 

29.3 

06.2 

90 

88.0 

18.7 

5o 

i46.7 

3l.2 

10 

205.4 

43.7 

70 

264.1 

56.  i 

3i 

3o.3 

06.4 

91 

89.0 

18.9 

i5i 

147-7 

3i.4 

211 

206.4 

43.9 

271 

265.1 

56.3 

32 

3i.3 

06.7 

92 

90.0 

19.1 

52 

148.7 

3i.6 

12 

207.4 

44.i 

72 

266.1 

56.6 

33 

32.3 

06.9 

93 

91  .0 

19.3 

53 

149.7 

3i.8 

i3 

208.3 

44-3 

73 

267.0 

56.8 

34 

33.3 

07.1 

94 

91.9 

i9.5 

54 

i5o.6 

32.0 

i4 

209.3 

44.5 

74 

268.0 

57.o 

35 

34.2 

o7.3 

95 

92.9 

19.8 

55 

i5i.6 

32.2 

i5 

210.3 

44.7 

75 

269.0 

57.2 

36 

35.2 

o7.5 

96 

93.9 

20.  o 

56 

i52.6 

32.4 

16 

211  .3 

44-9 

76 

270.0 

57.4 

3? 

36.2 

07.7 

97 

94.9 

2O.  2 

57 

i53.6 

32.6 

17 

212.3 

45.  i 

77 

270.  9 

57.6 

38 

37.2 

07.9 

98 

95.9 

2O.4 

58 

i54.5 

32.9 

18 

2l3.2 

45.3 

78 

27I-9 

57.8 

3,9 

38.i 

08.  i 

99 

96.8 

20.6 

59 

i55.5 

33.i 

J9 

2l4-2 

45.5 

79 

272.9 

58.o 

4o 

39.r 

o8.3 

IOO 

97.8 

20.8 

60 

i56.5 

33.3 

20 

2l5.2 

45.7 

80 

273.9 

58.2 

4i 

4o.i 

o8.5 

101 

98.8 

21  .0 

161 

i57.5 

ITT 

221 

2l6.2 

45.9 

281 

274-9 

~5lM 

42 

4i.i 

08.7 

02 

99.8 

21  .2 

62 

i58.5 

33.7 

22 

217.1 

46.2 

82 

275.8 

58.6 

43 

42.1 

08.9 

o3 

i  oo  .  7 

21.4 

63 

159.4 

33.9 

23 

218.1 

46.4 

83 

276.8 

58.8 

44 

43.o 

09.1 

o4 

101  .7 

21.6 

64 

160.4 

34.i 

24 

219.1 

46.6 

84 

277.8 

59.0 

45 

44-0 

09.4 

o5 

102.7 

21.8 

65 

161.4 

34.3 

25 

220.1 

46.8 

85 

278.8 

59.3 

46 

45.o 

09.6 

06 

103.7 

22.  0 

66 

162.4 

34.5 

26 

221.  I 

47.0 

86 

279.8 

59.5 

4? 

46.o 

09.8 

07 

104.7 

22.2 

67 

i63.4 

34.7 

27 

222.0 

47-2 

87 

280.7 

59.7 

48 

47-0 

10.  0 

08 

io5.7 

22.5 

68 

i64.3 

34-9 

28 

223.  0 

47-4 

88 

281.7 

59.9 

i9 

1Z'9 

10.2 

09 

106.6 

22.7 

69 

i65.3 

35.  i 

29 

224.0 

47-6 

89 

282.7 

60.  i 

5o 

48.9 

10.4 

IO 

1.07.6 

22.9 

70 

i66.3 

35.3 

3o 

225.  0 

47-8 

9° 

283.7 

6o.3 

~"sT 

49.9 

10.6 

III 

108.6 

23.1 

171 

167.3 

35.6 

23  1 

226.O 

48.o 

291 

284.6 

6o75~ 

52 

5o.9 

10.8 

12 

109.6 

23.3 

72 

168.2 

35.8 

32 

226.9 

48.2 

92 

285.6 

60.  7 

53 

5i.8 

ii  .0 

i3 

iio.S 

23.5 

73 

169.2 

36.o 

33 

227.9 

48.4 

93 

286.6 

60.9 

54 

52.8 

II  .2 

i4 

in.  5 

23.7 

74 

170.2 

36.2 

34 

228.9 

48.7 

94 

287.6 

61.1 

55 

53.8 

ii.  4 

i5 

112.  5 

23.9 

75 

171.2 

36.4 

35 

229.9 

48.9 

95 

288.6 

6i.3 

56 

54-8 

u.6 

16 

i>3.5 

24.1 

76 

172.2 

36.6 

36 

23o.8 

49.1 

96 

289.5 

6i.5 

57 

55.8 

11.9 

17 

n4.4 

24.3 

77 

i73.i 

36.8 

37 

23i.8 

49.3 

97 

290.5 

61.7 

58 

56.7 

12.  I 

18 

n5.4 

24.5 

78 

i74.i 

37.0 

38 

232.8 

49.5 

98 

291.5 

62  .0 

59   57.7 
60  j  58.  7 

12.3 
12.5 

19 

20 

116.4 
117.4 

24.7 
24.9 

79 
80 

i75.i 
176.1 

37.2 

37.4 

39 
4o 

233.8 
234.8 

49-7 
49.9 

99 

3oo 

292.5 

293.4 

62.2 
62.4 

Dist.    Dep. 

Lat. 

Dist. 

Dep.      Lat. 

Dist.     Dep. 

Lat. 

Dist. 

Deo. 

Lat. 

Dist. 

Dep. 

TaT 

[For  78  Degrees 

TABLE    II.                                                                l^age  29 

Difference  of  Latitude  and  Departure  for  13  Degrees. 

Dist. 

Lat. 

Dep. 

Dis;. 

Lat.   (Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat.   ]  Dep. 

I 

01  .0 

00.2 

61 

59.4    i3.7 

121 

117.9 

27.2 

181 

176.4 

4o.7 

24  1 

234.8 

54.2 

2 

o;  9 

OO.4 

62 

6o.4 

i3.9 

22 

118.9 

27.4 

82 

177.3 

40.9 

42 

235.8 

54-4 

3 

02.9 

00.7 

63 

61.4 

14.2 

23 

119.8 

27.7 

83 

i78.3 

41.2 

43 

236.8 

54.7 

4 

03.9 

00.9 

64 

62.4 

i4.4 

24 

120.8 

27.9 

84 

179-3 

4i.4 

44 

237-7 

54.9 

b 

04.9 

01  .1 

65 

63.3 

i4.6 

25 

121.  8 

28.1 

85 

i8o.3 

4i.6 

45 

238.7 

55.; 

6 

oh.  8 

oi.3 

66 

64.3 

14.8 

26 

122.8 

28.3 

86 

181.2 

4r.8 

46 

239.7 

55.3 

7 

06.8 

01  .6 

67 

65.3 

i5.i 

27 

123.7 

28.6 

87 

182.2 

42.1 

47 

240.7 

55.6 

8 

o7.8 

01.8 

68 

66.3 

i5.3 

28 

124.7 

28.8 

88 

i83.2 

42.3 

48 

241.6 

55.8 

9 

08.8 

02.0 

69 

67.2 

i5.5 

29 

125.7 

29.0 

89 

184.2 

42.5 

49 

242.6 

56.o 

10 

09-7 

02.2 

70 

68.2 

i5.7 

3o 

126.7 

29.2 

9° 

i85.i 

42.7 

5o 

243.6 

56.2 

n 

10.7 

02.5 

71 

69.2 

16.0 

i3i 

127.6 

29.5 

i9i 

186.1 

43.o 

25l 

244.6 

56.5 

12 

11.7 

02.7 

72 

70.2 

16.2 

32 

128.6 

29.7 

92 

187.1 

43.2 

52 

245.5 

56.7 

i3 

12.7 

02.9 

73 

71.1 

16.4 

33 

129.6 

29.9 

93 

188.1 

43.4 

53 

246.5 

56.  9 

i4 

i3.6 

o3.i 

74 

72.1 

16.6 

34 

i3o.6 

3o.i 

94 

i89.o 

43.6 

54 

247-5 

57.i 

i5 

14.6 

o3.4 

75 

73.i 

16.9 

35 

i3i.5 

3o.4 

95 

I90.0 

43.9 

55 

248.5 

57.4 

16 

i5.6 

o3.6 

76 

74.i 

17.1 

36 

i32.5 

3o.6 

96 

i9i  .0 

44.i 

56 

249.4 

57.6 

17 

16.6 

o3.8 

77 

75.o 

i7.3 

37 

i33.5 

3o.8 

97 

I92.0 

44.3 

57 

25o.4 

57.8 

18 

i7.5 

04.0 

78 

76.0 

i7.5 

38 

i34.5 

3i.o 

98 

I92.9 

44.5 

58 

25i.4 

58.o 

jo 

i8.5 

o4.3 

79 

77.0 

17.8 

39 

i35.4 

3i.3 

99 

193.9 

44-8 

59 

252.4 

58.3 

20 

i9.5 

o4.5 

80 

77,9 

18.0 

4o 

i36.4 

3i.5 

200 

194.9 

45.o 

60 

253.3 

58.5 

21 

20.5 

04.7 

81 

78.9 

18.2 

i4i 

i37.4 

3i.7 

201 

195.8 

45.2 

261 

254-3 

58.7 

22 

21.4 

04.9 

82 

79-9 

18.4 

42 

i38.4 

3i.9 

02 

I96.8 

45.4 

62 

255.3 

58.  9 

23 

22.4 

05.2 

83 

80.9 

18.7 

43 

i39.3 

32.2 

03 

197-8 

45.7 

63 

256.3 

59.2 

24 

23.4 

o5.4 

84 

81.8 

18.9 

44 

i4o.3 

32.4 

o4 

198.8 

45.9 

64 

257.2 

59.4 

25 

24.4 

o5.6 

85 

82.8 

19.1 

45 

i4i.3 

32.6 

o5 

199.7 

46.i 

65 

258.2 

59.6 

26 

25.3 

o5.8 

86 

83.8 

19.3 

46 

i42.3 

32.8 

06 

200.7 

46.3 

66 

259.2 

59.8 

27 

26  3 

06.  i 

87 

84.8 

19.6 

47 

i43.2 

33.i 

07 

201  .7 

46.6 

67 

260.2 

60.  i 

28 

27.3 

o6.3 

88 

85.7 

19.8 

48 

i44.2 

33.3 

08 

202.7 

46.8 

68 

261  .1 

6o.3 

29 

28.3 

o6.5 

89 

86.7 

20.  o 

49 

i45.2 

33.5 

09 

2o3.6 

47.0 

69 

262.1 

6o.5 

3o 

29.2 

06.7 

9° 

87.7 

20.  2 

5o 

146.2 

33.7 

10 

204.6 

47.2 

70 

263.1 

60.7 

3: 

30.2 

07.0 

9i 

88.7 

20.5 

i5i 

147-1 

34.o 

211 

2o5.6 

47-5 

271 

264.1 

61.0 

32 

3l.2 

07.2 

92 

89.6 

20.7 

52 

i48.i 

34.2 

12 

206.6 

47-7 

72 

265.0 

61.2 

33 

32. 

07.4 

93 

90.6 

20.9 

53 

149.1 

34.4 

i3 

207.5 

47-9 

73 

266.0 

61  4 

34 

33. 

07.6 

94 

91.6 

21  .1 

54 

i5o.i 

34.6 

i4 

2o8.5 

48.i 

74 

267.0  161  .6 

35 

34. 

07.9 

95 

92.6 

21.4 

55 

i5i  .0 

34-  9 

i5 

209.5 

48.4 

75 

268.0(61.9 

36 

35, 

08.1 

96 

93.5 

21.6 

56 

l52.O 

35.i 

16 

2IO.5 

48.6 

76 

268.9 

62.1 

37 

36. 

o8.3 

97 

94.5 

21.8 

57 

i53.o 

35.3 

17 

211.  4 

48.8 

77 

269.9 

62.3 

38 

37.o 

o8.5 

08 

95.5 

22.0 

58 

i54.o 

35.5 

18 

212.4 

49.o 

78 

270.9 

62.5 

39 

38.  D 

08.8 

99 

96.5 

22.3 

59 

i54-9 

35.8 

19 

2i3.4 

49-3 

79 

271.8 

62.8 

4o 

39.0 

09.0 

IOO 

97-4 

22.5 

60 

i55.9 

36.o 

20 

214.4 

49-b 

80 

272.8 

63.o 

4i 

39  ,  9  oo  .  2 

101 

98.4 

22.7 

161 

i56.9 

J6.2 

221 

2i5.3 

49.7 

281 

273.8 

63.2 

4a 
43 

40.9 
4i  .9 

09.4 
°9-7 

02 

o3 

y         / 
99.4 
IOO.4 

22.9 
23.2 

62 
63 

i57.8 
i58.8 

36.4 
36.7 

22 
23 

2i6.3 

217.3 

49.9 

50.2 

82 
83 

274.8 
275.7 

63.4 
63.7 

44 

42.9 

°9-9 

o4 

0 

23.4 

64 

159.8 

36.  9 

24 

2i8.3 

5o.4 

84 

276.7 

63.9 

45 

43.8 

IO.I 

o5 

102.3 

23.6 

65 

160.8 

37.i 

25 

219.2 

5o.6 

85 

277-7 

64.1 

46 

44.8 

io.3 

06 

io3.3 

23.8- 

66 

161  .7 

37.3 

26 

220.2 

5o.8 

86 

278.7 

64-3 

47 
48 

45.8 
46.8 

10.6 
10.8 

07 
08 

io4.3 

IO5.2 

24.1 
24.3 

67 
68 

162.7 
i63.7 

37.6 
37.8 

27 
28 

221  .2 
222.2 

5i'.3 

87 
88 

279.6 
280.6 

64-6 
64.8 

49 
5o 

47-7 
48.7 

II  .0 
II  .2 

°9 

10 

106.2 
107.2 

24.5 
24.7 

69 

70 

164.7 
i65.6 

38.o 
38.2 

8 

223.1 
224.1 

sl!7 

89 
9° 

281.6 
282.6 

65  o 
65.2 

5i 

52 

53 
54 
55 
56 

57 
58 

59 
60 

49-7 
50.7 
5i.6 
52.6 
53.6 
54.6 
55.5 
56.5 
57.5 
58.5 

ii.  5 
11.7 
11.9 

12    I 
12.4 
12.6 
12.8 

i3.o 
i3.3 
,i3.5 

in 

12 

i3 
i4 

i5 
16 
17 
18 

20 

IOS.2 

109.1 

no.  i 

in  .1 

112.  1 

n3.o 
u4.o 
i:5.c 
116.0 
116.9 

25.0 
25.2 

25.4 
25.6 

25.9 

26.1 
26.3 
26.5 

26.3 
27.0 

171 

72 
73 

I 

77 
78 

L9 

166.6 
167.6 
168.6 
169.5 
170.5 
I7I.5 
172.5 
i73.4 
174.4 
175.4 

38.5 
38.7 
38.  9 
39.i 
39.4 
39.6 
39.8 
4o.o 
4o.3 
4o.5 

23l 
32 

33 
34 
35 
36 

37 
38 

225.1 
226.  I 

227.O 
228.0 
229.0 
230.0 

23o-9 

23l  .9 

232.9 
233.8 

52  .O 
52.2 

52.4 
52.6 
52.9 
53.i 
53.3 
53.5 
53.8 
54-0 

291 

93 
94 
95 
96 

1 

283.5 
284-5 
285.5 
286.5 
287.4 
288.4 
289.4 
290.4 
291  .3 
292  .  3 

65.5 
65.7 
65.9 
66.1 
66.4 
66.6 
66.8 
67.0 
67.3 
67JL 

Dist. 

Dep.  '  Lat. 

Dist. 

Dep 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep.  1  Lat. 

[For  77  Degrees. 

—  1 

Page  30]                                                                TABLE    II. 

Difference  of  Latitude  and  Departure  for  14  Degrees. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dis 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

i 

01  .0 

00.2 

61 

59.2 

"14.8 

121 

117.4 

29.3 

181 

i75.6 

43.8 

24  1 

233.8 

58.3 

01  .9 

oo.5 

62 

60.2 

i5.o 

22 

u8./ 

29.5 

82 

176.6 

44-0 

42 

234.8 

58.5 

: 

02.9 

00.7 

63 

01.  1 

15.2 

23 

119.  c 

29.8 

83 

177.6 

44.3 

43 

235.8 

58.8 

4 

o3.9 

OI  .O 

64 

62.1 

i5.5 

24 

120.  C 

3o.o 

84 

178.5 

44-5 

44 

236.8 

59.o 

f. 

04.9 

OI  .2. 

65 

63.i 

i5.7 

25 

121  .C 

30.2 

85 

179.5 

44.8 

45 

237-7 

59.3 

6 

o5.8 

oi.5 

66 

64.o 

16.0 

26 

122.3 

3o.5 

86 

i8o.5 

45.o 

46 

238.7 

59.5 

j 

06.8 

01.7 

67 

65.o 

16.2 

27 

123.2 

3o.7 

87 

181.4 

45.2 

47 

239.7 

59.8 

8 

07.8 

oi  .9 

68 

66.0 

i6.5 

28 

124.2 

3i.o 

88 

182.^ 

45.5 

48 

240.6 

60.0 

9 

08.7 

02.2 

69 

67.0 

16.7 

29 

125.2 

3l.2 

89 

i83.4 

45.7 

49 

241.6 

60.2 

10 

09.7 

02.4 

70 

67.9 

16.9 

3o 

126.  I 

3i.4 

90 

i84.4 

46.o 

5o 

242.6 

6o.5 

ii 

10.7 

02.7 

71 

68.9 

17.2 

i3i 

I27.I 

3i.7 

191 

i85.3 

46.2 

25l 

243.5 

"GoTy" 

12 

ii.  6 

02.9 

72 

69.9 

17-4 

32 

I28.I 

3i.9 

92 

i86.3 

46.4 

52 

244.5 

61.0 

i3 

12.6 

o3'i 

73 

70.8 

17-7 

33 

129.0 

32.2 

9^ 

187.3 

46.7 

53 

245.5 

61.2 

i4 

i3.6 

o3.4 

74 

71.8 

17.9 

34 

i3o.o 

32.4 

94 

188.2 

46.9 

54 

246.5 

61.4 

i5 

i4.6 

o3.6 

75 

72.8 

18.1 

35 

i3i.o 

32.  7 

95 

189.2 

47.2 

55 

247-4 

61.7 

16 

i5.5 

03.9 

76 

73.7 

18.4 

36 

iSa.o 

32.9 

96 

190.2 

47-4 

56 

248.4 

61.9 

i? 

i6.5 

04.1 

77 

74-7 

18.6 

37 

i32.9 

33.i 

97 

191  .1 

47-7 

57 

249.4 

62.2 

18 

i7.5 

o4.4 

78 

75-7 

18.9 

38 

i33.9 

33.4 

98 

192.  i 

47-9 

58 

25o.3 

62.4 

*9 

18.4 

04.6 

79 

76.7 

19.1 

39 

i34.o 

33.6 

99 

193.1 

48.  i 

59 

25i.3 

62.7 

20 

19.4 

04.8 

80 

77-6 

19.4 

4o 

i35.8 

33.9 

200 

194.1 

48.4 

60 

252.3 

62.9 

21 

20.4 

~o57T 

81 

78.6 

19.6 

i4i 

i36.8 

34.1 

2OI 

195.0 

48.6 

261 

253.2 

63.i 

22 

21.3 

o5.3 

82 

79.6 

19.8 

42 

i37.8 

34.4 

O2 

196.0 

48.9 

62 

254.2 

63.4 

23 

22.3 

o5.6 

83 

8o.5 

20.1 

43 

i38.8 

34.6 

o3 

197.0 

49.  i 

63 

255.2 

63.6 

24 

23.3 

o5.8 

84 

8i.5 

20.3 

44 

139.7 

34.8 

o4 

197.9 

49-4 

64 

256.2 

63.  9 

25 

24.3 

06.0 

85 

82.5 

20.6 

45 

140.7 

35.i 

o5 

198.9 

49.6 

65 

267.1 

64.1 

26 

25.2 

o6.3 

86 

83.4 

20.8 

46 

i4i.7 

35.3 

06 

199.9 

49.8 

66 

258  .  i 

64-4 

27 

26.2 

o6.5 

87 

84-4 

21.0 

47 

142.6 

35.6 

07 

200.9 

56.i 

67 

2{J9.I 

64.6 

28 

27.2 

06.8 

88 

85.4 

21.3 

48 

i43.6 

35.8 

08 

201.8 

5o.3 

68 

260.0 

64.8 

29 

28.1 

07.0 

89 

86.4 

21.5 

49 

i44.6 

36.o 

09 

202.8 

5o.6 

69 

261  .0 

65.i 

3o 

29.1 

o7.3 

9° 

87.3 

21.8 

5o 

i45.5 

36.3 

10 

2o3.8 

5o.8 

70 

262.0 

65.3 

'17 

3o.i 

o7.5 

91 

88.3 

22.0 

i5i 

M6.5 

36.5 

211 

204.7 

5i.o 

271 

263.o 

65.6 

32 

3i.o 

07.7 

92 

89.3 

22.3 

52 

147-5 

36.8 

12 

205.7 

5i.3 

72 

263.9 

65.8 

33 

32.0 

08.0 

93 

90.2 

22.5 

53 

i48.5 

37.o 

13 

206.7 

5i.5 

73 

264.9 

66.0 

34 

33.o 

08.2 

94 

91.2 

22.7 

54 

149.4 

37.3 

i4 

207.6 

5i.8 

74 

265.9 

66.3 

35 

34.0 

o8.5 

95 

92.2 

23.0 

55 

i5o.4 

37.5 

i5 

208.6 

52.0 

75 

266.8 

66.5 

36 

34-9 

08.7 

96 

93.i 

23.2 

56 

i5i.4 

37-7 

16 

209.6 

52.3 

76 

267.8 

66.8 

37 

35.9 

09.0 

97 

94.1 

23.5 

57 

i52.3 

38.o 

17 

210.6 

52.5 

77 

268.8 

67.0 

38 

36.9 

09.2 

98 

95.i 

23.7 

58 

i53.3 

38.2 

18 

211.  5 

52.7 

78 

269.7 

67.3 

39 

37.8 

o9.4 

99 

96.1 

24.0 

59 

i54.3 

38.5 

J9 

212.5 

53.o 

79 

270.7 

67.5 

4o 

38.8 

09.7 

100 

97.0 

24.2 

60 

i55.2 

38.7 

20 

2i3.5 

53.2 

80 

271.7 

67.7 

4i 

39.8 

09.9 

IOI 

98.0 

24.4 

161 

i56.2 

38.9 

221 

214.4 

53.5 

281 

272.7 

68.0 

42 

4o.8 

IO.2 

02 

99.0 

24-7 

62 

I57.2 

39.2 

22 

2i5.4 

53.7 

82 

273.6 

68.2 

43 

4i.7 

IO.4 

o3 

99-9 

24.9 

63 

i58.2 

39.4 

23 

216.4 

53.9 

83 

274.6 

68.5 

44 

42.7 

10.6 

04 

100.9 

25.2 

64 

159.1 

39.7 

24 

217.3 

54.2 

.84 

275.6 

68.  7 

45 

43.7 

10.9 

o5 

IOI  .9 

25.4 

65 

160.1 

39.9 

25 

218.  3 

54-4 

85 

276.5 

68.9 

46 

44.6 

II.  I 

06 

102.9 

25.6 

66 

161  .1 

40.2 

26 

219.3 

54-7 

86 

277.5 

69.2 

4? 

45.6 

ii.  4 

07 

io3.8 

25.9 

67 

162.0 

40.4 

27 

220.  3 

54.9 

87 

278.5 

69.4 

48 

46.6 

ii.  6 

08 

104.8 

26  i 

68 

i63.o 

4o.6 

28 

221  .2 

55.2 

88 

2*79.4 

69-7 

49 

47-5 

11.9 

09 

io5.8 

26.4 

69 

164.0 

40.9 

29 

222.2 

55.4 

89 

280.4 

69.9 

5o 

48.5 

12.  I 

10 

106.7 

26.6 

70 

i65.o 

4i.i 

3o 

223.2 

55.6 

90 

281.4 

•70.2 

5i 

i9'5* 

12.3 

in 

107.7 

26.9 

171 

i65.o 

4i-4 

23l 

224.1 

55.9 

291 

282.4 

•70.4 

52 

5o.5 

12.6 

12 

108.7 

27.1 

72 

166.9 

4i.6 

32 

225.1 

56.i 

92 

283.3 

•70.6 

531 

5i.4 

12.8 

i3 

109.6 

27.3 

73 

167.9 

41.9 

33 

226.1 

56.4 

93 

284.3 

70.9 

54 

52.4 

i3.r 

M 

no.  6 

27.6 

74 

168.8 

42.1 

34 

227.0 

56.6 

9* 

285.3 

7i.i 

55 

53.4 

i3.3 

i5 

in  .6 

27  8 

75 

169.8 

42.3 

35 

228.0 

56.  9 

95 

286.2 

7i.4 

56 

54.3 

i3.5 

16 

I  I  2.  6 

28.1 

76 

170.8 

42.6 

36 

229.0 

57.1 

96 

28-7.2 

71.6 

5? 

55.3 

i3.8 

17 

ii3.5 

28.3 

77 

171.7 

42.8 

37 

23o.o 

57.3 

97 

288.2 

71.9 

58 

56.3 

i4.o 

18 

u4.5 

28.5 

78 

172.7 

43.i 

38 

23o.9 

57.6 

98 

289.1 

72.1 

59   57.2 

i4.3 

19 

ii5.5 

28.8 

79 

173-7 

43.3 

39 

231.9 

57.8 

99 

290.1 

72.3 

60   58  .  2 

i4-5 

20 

116.4 

29.0 

80 

174.7 

43.5 

4o 

232.5 

58.i 

3oo 

291  .1 

72.6 

Dist.l  Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

)ist. 

Dep. 

Lat. 

Dist. 

Dep. 

"LaiT 

[For  76  Degrees. 

TABLE    11.                                                               [Page  3] 

Difference  of  Latitude  and  Departure  for  15  Degrees. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

2 

3 
4 
5 
6 
7 
8 

9 
10 

01  .0 
01  .9 
02  .9 
o3.9 
04.8 
o5.8 
06.8 
07.7 
08.7 
p_9_._7 

oo.3 
oo.5 
00.8 
or  .0 
oi.3 
01  .6 
01.8 

02.1 

02.  3 
02  .6 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

59^ 
60.9 
61.8 
62.8 
63.8 
64-7 
65.7 
66.6 
67.6 

i5.8 
16.0 
i6.3 
16.6 
16.8 
17.1 
i7.3 
17.6 
17.9 
18.1 

121 
22 
23 

24 
25 

26 

27 
28 

116.9 
117.8 
118.8 
119.8 
120.7 
121.7 

122  .7 

123.6 
124.6 
125.6 

3i.3 
3i.6 
3i.8 

32.1 

32.4 
32.6 
32.9 
33.  i 
33.4 
33.6 

181 
82 
83 
84 
85 
86 
87 
88 
89 
90 

174.8 
176.8 
176.8 

'77-7 

178.7 

i8o!e 

181.6 
182.6 
i83.5 

46.8 
47-1 
47-4 
47.6 

47-9 
48.i 

48.4 
48.7 
48.9 
49.2 

24  1 
42 
43 
44 
45 
46 
47 
48 

i9 

5o 

232.8 

233.8 

234.7 
235.7 
236.  7 
237.6 
238.6 
239.6 
240  5 
241  .5 

62.4 
62.6 
62.9 
63.2 
63.4 
63.7 
63.9 
64.2 
64-4 
64-  7 

ii 

12 

i3 
M 

i5 

10.6 
n.  6 

12.6 

i3.5 
i4.5 

02.8 

o3.i 
o3.4 
o3.6 
o3.9 

72 
73 
74 
75 

68.6 
69.5 
70.5 
7i.5 
72.4 

18.4 
18.6 
18.9 
19.2 
19.4 

32 

33 
34 
35 

126.5 
127.6 
128.5 

120.4 

i3o.4 

33.9 
34.2 
34-4 
34.7 
34.9 

191 
93 

i84.5 
i85.5 
186.4 
187.4 
188.4 

49.4 
49.7 
5o.o 
60.2 
5o.5 

261 

52 

53 
54 
55 

242.4 
243.4 
244.4 
245.3 
246.3 

65.  D 
65.2 
65.5 
65.7 
66  o 

16 

i5.5 

04.  i 

76 

73.4 

19.7 

36 

i3i.4 

35.2 

96 

189.3 

5o.7 

56 

247.3 

66  3 

17 
18 

'9 

20 

16.4 
17-4 
18.4 
i9.3 

04.4 

04.7 
04.9 

05.2 

77 
78 

79 
80 

74.4 
75.3 
76.3 

77-3 

19.9 

2O.  2 
2O.4 
20.7 

37 
38 
3o 

4o 

i32.3 
i33.3 
i34.3 
i35.2 

35.5 
35.7 
36.o 
36.2 

97 
98 

99 

200 

190.3 
191  .3 
192.2 
193.2 

5i.o 

5l.2 

5i.5 
5i.8 

57 
58 

59 
60 

248.2 
249.2 

250.2 
25I.I 

66.5 
66.8 
67.0 
67.3 

21 

20.3 

o5.4 

81 

78.2 

21  .0 

i4i 

i36.2 

36.5 

201 

194.2 

5?.o 

261 

252.1 

67  6 

22 

21.3 

o5.7 

82 

79.2 

21  .2 

42 

137.2 

36.8 

02 

i95.i 

52.3 

67 

253.1 

67  8 

23 

22.2 

06.0 

83 

80.2 

21.5 

43 

i38.i 

37.o 

03 

1(^6.1 

5^.5 

63 

264.0 

68  i 

24 

23.2 

06.  * 

84 

81.1 

21.7 

44 

139.1 

37.3 

o4 

197.0 

5?.  8 

255.o 

68  3 

25 

24.1 

o6.5 

85 

82.1 

22.0 

45 

i4o.i 

37.5 

o5 

198.0 

53.i 

65 

256.o 

68  6 

26 

25.1 

06.  7 

86 

83.i 

22.3 

46 

i4i  .0 

37.8 

06 

199.0 

53.3 

66 

266.9 

68  8 

27 

26.1 

07.0 

87 

84.o 

22.5 

47 

142.0 

38.o 

07 

199.9 

53.6 

67 

7570 

60  i 

28 

27.0 

07.2 

88 

85.o 

22.8 

48 

i43.o 

38.3 

08 

200.9 

53.8 

68 

268.9 

6o.4 

29 

28.0 

o7.5 

89 

86.0 

23.0 

49 

143.9 

38.6 

09 

201.9 

54.i 

oo 

269.8 

69.6 

3o 

29.0 

o7.8 

90 

86.9 

23.3 

5o 

144.9 

38.8 

10 

202  .8 

54-4 

70 

260.8 

69.9 

3i 

29.9 

08.0 

9' 

87.9 

23.6 

161 

145.9 

3o.i 

211 

2o3.8 

54.6 

271 

261.8 

70.1 

32 

3o.9 

o8.3 

92 

88.9 

23.8 

52 

i46.8 

39.3 

12 

204.8 

54-9 

72 

262.7 

70.4 

33 

3.1-9 

o8.5 

93 

89.8 

24.1 

53 

147.8 

39.6 

i3 

206.7 

55.  f 

73 

263.7 

7°-7 

34 

32.8 

08.8 

94 

90.8 

24.3 

54 

i48.8 

39.9 

i4 

206.7 

55.4 

74 

264.7 

7°.Q 

35 

33.8 

09.  i 

95 

91.8 

24.6 

55 

149.7 

4o.i 

i5 

207.7 

55.6 

76 

71  .2 

36 

34.8 

09.3 

96 

92.7 

24.8 

56 

i5o.7 

4o.4 

16 

208.6 

55.9 

76 

266.6 

71.4 

37 

35.7 

09.6 

97 

93.7 

25.1 

57 

i5i  .7 

4o.6 

17 

209.6 

56.2 

77 

267.6 

71  .7 

38 

36.7 

09.8 

98 

94-7 

25.4 

58 

162.6 

40.9 

18 

210   6 

56.4 

78 

268.5 

72.0 

39 

37-7 

10.  I 

99 

95.6 

25.6 

59 

i53.6 

41.2 

19 

211.  5 

56.7 

79 

269.5 

72.2 

4o 

38.6 

10.4 

IOO 

96.6 

25.9 

60 

1  54.  5 

4i-4 

20 

212.5 

56.9 

80 

27O.5 

72.5 

4i 

39.6 

10.6 

101 

97.6 

26.1 

161 

i55.5 

4i.7 

221 

2i3.5 

57.2 

281 

2-71.4 

72.7 

42 

4o.6 

10.9 

02 

98.5 

26.4 

62 

166.6 

4i  .9 

22 

214.4 

57.5 

82 

272.4 

73.o 

43 

4i.5 

1  1  .  i 

o3 

99-5 

26.7 

63 

167.4 

42.2 

23 

216.4 

57.7 

83 

273.4 

73.2 

44 

42.5 

n.  4 

04 

100.  5 

26.9 

64 

168.4 

42.4 

24 

216.4 

58.o 

84 

274.3 

73.5 

45 

43.5 

n.  6 

o5 

101  .4 

27.2 

65 

169.4 

42.  7 

25 

217.3 

58.2 

85 

275.3 

73.8 

46 

44.4 

n  .9 

06 

102.4 

27.4 

66 

i6o.3 

43.o 

26 

218.3 

58.5 

86 

276.3 

74-0 

47 

45.4 

12.2 

07 

io3.4 

27.7 

67 

i6i.3 

43.2 

27 

219.3 

58.8 

87 

277.2 

74.3 

48 

46.4 

12.4 

08 

io4.3 

28.0 

68 

162.3 

43.5 

28 

220.2 

69.0 

88 

278.2 

74.5 

49 

47-3 

12.  7 

°9 

io5.3 

28.2 

69 

i63.2 

43.  7 

29 

221  .2 

59.3 

89 

2-79.2 

74-8 

5o 

48.3 

I2.9 

10 

io6.3 

28.5 

70 

164.2 

44.o 

3o 

222.2 

59.5 

90 

280.1 

75.i 

5i 

49-3 

13.2 

in 

107.2 

28.  7 

171 

i65.2 

44.3 

23l 

223.1 

69.8 

291 

28I.I 

75.3 

52 

5o.2 

i3.5 

12 

108.2 

29.0 

72 

166.1 

44.5 

32 

224.1 

60.0 

92 

282.1 

75.6 

53 

5l  .2 

13.7 

i3 

109.1 

29.2 

73 

167.1 

44.8 

33 

225.1 

6o.3 

93 

283.0 

75.8 

54 

5a  .2 

14.0 

i4 

IIO.  I 

29.5 

74 

168.1 

45.o 

34 

226.0 

60.6 

94 

284.0 

76.1 

55 

53.i 

14.2 

i5 

II  1  .1 

29.8 

75 

169.0 

45.3 

35 

227.O 

60.8 

95 

284.9 

76.4 

56 

54.i 

i4.5 

16 

I  12  .O 

3o.o 

76    170.0 

45.6 

36 

228.0 

61  .1 

96 

285.9 

76.6 

57 

55.i 

i4.8 

17 

i  i3.o 

3o.3 

77 

171  .0 

45.8 

37 

228.9 

6i.3 

97 

286.9 

76.9 

58 

56.o 

i5.o 

18 

n4-o 

3o.5 

78 

171.9 

46.i 

38 

229.9 

61.6 

98 

28-7.8 

59 

67.0 

1  5.  3 

X9 

1  14  9 

3o.8 

79 

172.9 

46.3 

39 

230.9 

61.9 

99 

288.8 

77-4 

60 

58.o 

i5.5 

20 

n5.9 

3i.i 

80 

173.9 

46.6 

4o 

23i.8 

62.1 

3oo 

289.8 

77-6 

Dist. 

Dep. 

Lat. 

Dist-l 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  75  Degrees. 

Fage32j                                                                TABLE    II. 

Difference  of  Latitude  and  Departure  for  16  Degrees 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

i 

OI  .0 

oo.3 

61 

58.6 

16.8 

121 

n6.3 

33.4 

181 

174.0 

49.9 

241 

23l  .7 

66.4 

2 

01  .9 

00.6 

62 

59.6 

17.1 

22 

n7.3 

33.6 

82 

174.9 

5o.? 

42 

232.6 

66.7 

3 

0.9 

DO.  8 

63 

60.6 

17-4 

23 

118.2 

33.9 

83 

175.9 

5o.4 

43 

233.6 

67.0 

4 

o3.8 

01  .1 

64 

6i.5 

17.6 

24 

119.2 

34.2 

84 

176.9 

5o.7 

44 

234.5 

67.3 

5 

04.8 

01  .4 

65 

62.5 

17.9 

25 

120.2 

34.5 

85 

177-8 

5i.o 

45 

235.5 

67.5 

6 

o5.8 

01.7 

66 

63.4 

18.2 

26 

121  .1 

34.  7 

86 

178.8 

5i.3 

46 

236.5 

67.8 

7 

06.7 

oi  .9 

67 

64.4 

i8.5 

27 

122.  I 

35.o 

87 

179.8 

5i.5 

47 

237.4 

68.1 

8 

07.7 

02.2 

68 

65.4 

,8.7 

28 

123.0 

35.3 

88 

180.7 

5i.8 

48 

238.4 

68.4 

9 

08.7 

02.5 

69 

66.3 

19.0 

29 

I24.O 

35.6 

89 

181.7 

52.1 

49 

239.4 

68.6 

10 

09.6 

02.8 

7Q 

67.3 

i9.3 

3o 

125.0 

35.8 

9° 

182.6 

52.4 

5o 

24o.3 

68.9 

n 

10.6 

~bTo~ 

7i 

68.2 

19.6 

i3i 

125-9 

36.i 

191 

i83.6 

52.6 

25l 

24i.3 

69.2 

12 

n.  5 

o3.3 

72 

69.2 

19.8 

32 

126.9 

36.4 

92 

184.6 

52.9 

52 

242.2 

69.5 

i3 

12.5 

o3.6 

73 

70.2 

20.1 

33 

127.8 

36  7 

93 

i85.5 

53.2 

53 

243.2 

69.7 

i4 

i3.5 

03.9 

74 

71.1 

20.4 

34 

128.8 

36.9 

94 

i86.5 

53.5 

54 

244.2 

70.0 

i5 

i4-4 

04.  i 

75 

72.1 

2O.7 

35 

129.8 

37.2 

95 

187.4 

53.7 

55 

245.1 

70.3 

16 

i5.4 

o4.4 

76 

73.i 

20.9 

36 

i3o.7 

37.5 

96 

188.4 

54.o 

56 

246.1 

70.6 

17 

i6.3 

04.7 

77 

74.0 

21.2 

37 

i3i.7 

37.8 

97 

189.4 

54.3 

57 

247.0 

70.8 

18 

i7.3 

o5.o 

78 

75.o 

21.5 

38 

l32.7 

38.o 

98 

190.3 

54.6 

58 

248.0 

71.1 

19 

i8.3 

O5.2 

79 

75-9 

21.8 

39 

i33.6 

38.3 

99 

191  .3 

54.9 

59 

249.0 

7i.4 

20 

19.2 

o5.5 

80 

76.9 

22.1 

4o 

i34.6 

38.6 

200 

192.3 

55.i 

60 

249-9 

71.7 

21 

20.2 

o5.8 

81 

77-9 

22.3 

i4i 

i35.5 

38.9 

201 

193.2 

55.4 

261 

2.50.9 

71.9 

22 

21.  I 

06.1 

82 

78.8 

22.6 

42 

i36.5 

39.i 

02 

194.2 

55.7 

62 

25l  .9 

72.2 

23 

22.1 

o6.3 

83 

79.8 

22.9 

43 

i37.5 

39.4 

o3 

i95.i 

56.o 

63 

252.8 

72.5 

24 

23.1 

06.6 

84 

80.7 

23.2 

44 

i38.4 

39.7 

o4 

196.1 

56.2 

64 

253.8 

72.8 

25 

24.O 

06.9 

85 

81.7 

23.4 

45 

i39.4 

4o.o 

o5 

197.1 

56.5 

65 

254.7 

73.o 

26;  25.0 

07.2 

86 

82.7 

23.7 

46 

i4o.3 

40.2 

06 

198.0 

56.8 

66 

255.7 

73.3 

27    26.0 

07.4 

87 

83.6 

24.0 

47 

i4i-3 

4o.5 

07 

199.0 

57.i 

67 

256.7 

73.6 

28;  26.  9 

07.7 

88 

84.6 

24.3 

48 

i42.3 

4o.8 

08 

199.9 

57.3 

68 

257.6 

73-9 

29,27.9 

08.0 

89 

85.6 

24.5 

49 

i43.2 

4i.i 

09 

200.9 

57.6 

69 

258.6 

74.i 

3oJ28.8 

o8.3 

90 

86.5 

24.8 

5o 

i44-2 

4i.3 

10 

2OI  .9 

57.9 

70 

259.5 

74-4 

3i    29.8 

o8.5 

91 

87.5 

25.1 

i5i 

i45.2 

4i.6 

211 

202.8 

58.2 

271 

260.5 

74-7 

32l3o.8 

08.8 

92 

88.4 

25.4 

52 

i46,  i 

41.9 

12 

203.8 

58.4 

72 

261.5 

75.o 

33.3r.7 

09.1 

93 

89.4 

25.6 

53 

i47-  1 

42.? 

i3 

204.7 

58.7 

73 

262.4 

75.2 

34  ;  32.  7 

09.4 

94 

90.4 

25.9 

54 

i48.o 

42.4 

i4 

205.7 

59.0 

74 

263.4 

75.5 

35.33.6 

09.6 

95 

9i.3 

26.2 

55 

149.0 

42.7 

i5 

206.7 

59.3 

75 

264.3 

75.8 

36  134.6 

09.9 

96 

92.3 

26.5 

56 

i5o.o 

43.0 

16 

207.6 

59.5 

76 

265.3 

76.1 

3? 

35.6 

10.2 

97 

93.2 

26.7 

57 

150.9 

43.3 

17 

208.6 

59.8 

77 

266.3 

76.4 

38 

36.5 

io.5 

98 

94.2 

27.0 

58 

i5i  .9 

43.6 

18 

209.6 

60.  i 

78 

267.2 

76.6 

39 

37.5 

10.7 

99 

95.2 

27.3 

59 

i52.8 

43.8 

19 

210.5 

60.4 

79 

268.2 

76.9 

4o 

38.5 

ii  .0 

100 

96.1 

27.6 

60 

i53.8 

44.i 

20 

211.  5 

60.6 

80 

269.2 

77.2 

4i 

39.4 

u.  3 

101 

97.1 

27.8 

161 

i54.8 

44.4 

22! 

212.4 

60.9 

281 

270.1 

77-5" 

42 

4o.4 

11.  6 

02 

98.0 

28.1 

62 

i55.7 

44-7 

22 

2i3.4 

61  .2 

82 

271.1 

77-7 

43 

4i.3 

11.9 

o3 

99.0 

28.4 

63 

i56.7 

44.9 

23 

214.4 

6i.5 

83 

272.0 

78.0 

44 

42.3 

12.  I 

o4 

IOO.O 

28.7 

64 

i57.6 

45.? 

24 

2i5.3 

61.7 

84 

273.0 

78.3 

45 

43.3 

12.4 

o5 

100.9 

28.9 

65 

1  58.  6 

45.5 

25 

216.  3 

62.0 

85 

274.0 

78.6 

46 

44.2 

12.7 

06 

101  .9 

29.2 

66 

i59.6 

45.8 

26 

217.2 

62.3 

86 

2-74.9 

78.8 

47 

45.2 

i3.o 

07 

102.9 

29.5 

67 

i6o.5 

46.o 

27 

218.2 

62.6 

87 

275.9 

79.1 

48 

46.i 

13.2 

08 

io3.8 

29.8 

68 

i6i.5 

46.3 

28 

219.2 

62.8 

88 

276.8 

79-4 

49 

47.1 

i3.5 

09 

104.8 

3o.o 

69 

162.5 

46.6 

29 

220.  i 

63.i 

89 

277.8 

79-7 

5o 

48.i 

i3.8 

10 

io5.7 

3o.3 

7° 

i63.4 

46.9 

36 

22  I.  I 

63.4 

90 

278.8 

79-9 

5i 

49.0 

i4.i 

III 

106.7 

3o.6 

171 

i64.4 

47.1 

23l 

222.1 

63.7 

291 

279.7 

80.2 

52 

5o.o 

i4.3 

12 

107.7 

30.9 

72 

i65.3 

47-4 

32 

223.  0 

63.9 

92 

280.7 

8o.5 

53 

50.9 

i4.6 

i3 

108.6 

3i.i 

73 

i66.3 

47.7 

33 

224.0 

64.2 

93 

281.6 

80.8 

54 

5i.9 

14.9 

i4 

109.6 

3i.4 

74 

i67.3 

48.o 

34 

224.9 

64.5 

94 

282.6 

81.0 

55 

52.9 

15.2 

i5 

110.5 

3i.7 

75 

168.2 

48.2 

35 

225.9 

64.8 

95 

283.6 

8i.3 

56 

53.8 

i5.4 

16 

in.  5 

32.0 

76 

169.2 

48.5 

36 

226.9 

65.i 

96 

284.5 

81.6 

57 

54.8 

i5.7 

17 

112.  5 

32.2 

77 

170.  i 

48.8 

37 

227.8 

65.3 

97 

285.5 

81.9 

58 

55.8 

16.0 

18 

n3.4 

32.5 

78 

171.1 

49.1 

38 

228.8 

65.6 

98 

286.5 

82.1 

69 

56.7 

i6.3 

J9 

"4.4 

32.8 

79 

172.1 

49.3 

39 

229.7 

65.9 

99 

287.4 

82.4 

60 

5?-7 

i6.5 

20 

n5.4 

33.i 

80 

i73.o 

49.6 

4o 

230.7 

66.2 

3oo 

288.4 

82.7 

biZ 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

^ist. 

Dep. 

Lat. 

[For  74  Degrees, 

TABLE    II.                                                               [Page  33 

Difference  of  Latitude  and  Departure  for  17  Degrees. 

Di*t.|  Lat. 

Dep. 

Disft. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat.    f  Dep. 

i  !  01  .0 

00.3 

61 

58.3 

17.8 

121 

n5.7 

35.4 

181 

i73.i 

52.9 

24  1 

23o.5 

70.5 

2 

oi  .9 

00.6 

62 

59.3 

18.1 

22 

M6.7 

35.7 

82 

174.0 

53.2 

42 

23i.4 

70.8 

3 

02.9 

00.9 

63 

60.2 

18.4 

23 

117.6 

36.o 

83 

175.0 

53.5 

43 

232.4 

71.0 

4 

o3.8 

01  .2 

64 

61.2 

18.7 

24 

118.6 

36.3 

84 

176.0 

53.8 

44 

233.3 

71.3 

5 

04.8 

oi.5 

65 

62.2 

19.0 

25 

119.5 

36.5 

85 

176.9 

54.i 

45 

234.3 

71.6 

6 

o5.7 

01.8 

66 

63.i 

i9.3 

26 

120.5 

36.8 

86 

177-9 

54-4 

46 

235.3 

71.9 

7 

06.7 

02.0 

67 

64.i 

19.6 

27 

121.  5 

37.1 

87 

178.8 

54-7 

47 

236.2 

72.2 

8 

07.7 

02.3 

68 

65.o 

19.9 

28 

122.4 

37-4 

88 

179-8 

55.o 

48 

237.2 

72.5 

9)08.6 

02.6 

69 

66.0 

20.2 

29 

123.4 

37.  7 

89 

180.7 

55.3 

49 

238.1 

72.8 

10  j  09.6 

02  .9 

70 

66.9 

20.5 

3o 

124.3 

38.o 

9° 

181.7 

55.6 

56 

239.I 

73.i 

,  j 

io.5 

03.2 

71 

07.9 

20.8 

i3i 

125.3 

38.3 

191 

182.7 

55.8 

25l 

240.0 

73.4 

I  2 

u.  5 

o.3.5 

72 

68.9 

21  .  I 

32 

126.2 

38.6 

92 

i83.6 

56.i 

52 

24  1  .0 

-3.7 

i3 

12.4 

o3.8 

73 

69.8 

21.3 

33 

127.2 

38.9 

93 

184.6 

56.4 

53 

241  .9 

74-0 

i4 

i3.4 

04.1 

74 

70.8 

21.6 

34 

I28.I 

39.2 

94 

i85.5 

56.7 

54 

242  .9 

74.3 

i5 

i4.3 

o4-4 

75 

71-7 

21.9 

35 

129.1 

39.5 

95 

i86.5 

57.o 

55 

243.  q 

74.6 

1  6 

i5.3 

04.7 

76 

72.7 

22.2 

36 

i3o.i 

39.8 

96 

187.4 

57.3 

56 

244.8 

74-8 

17 

i6.3 

o5.o 

77 

73.6 

22.5 

37 

i3i  .0 

4o.i 

97 

188.4 

57.6 

57 

245.8 

75.i 

18 

17.2 

o5.3 

78 

74-6 

22.8 

38 

l32.0 

4o.3 

98 

189.3 

57.  9 

58 

246.7 

75.4 

19 

18.  a 

o5.6 

79 

75.5 

23.1 

39 

l32  .9 

4o.6 

99 

190.3 

58.2 

59 

247-7 

75.7 

20 

19.1 

o5.8 

80 

76.5 

23.4 

4o 

i33.9 

40.9 

200 

191  .3 

58.5 

60 

248.6 

76.0 

21 

20.  I 

06.1 

81 

77.5 

23.7 

i4i 

i34-8 

41.2 

201 

192  .2 

58.8 

261 

249.6 

76.3 

22 

21.0 

06.4 

82 

78.4 

24.0 

42 

i35.8 

4i.5 

02 

193.2 

59.i 

62 

25o.6 

76.6 

a3 

22.0 

06.7 

83 

79-4 

24.3 

43 

i36.8 

4i.8 

03 

194.1 

59.4 

63 

25i  .5 

76.9 

24 

23.0 

O7.O 

84 

8o.3 

24.6 

44 

i37.7 

42.1 

o4 

i95.i 

59.6 

64 

252.5 

77-2 

95 

07.3 

85 

8i.3 

24-9 

45 

i38.7 

42.4 

o5 

196.0 

59.9 

65 

253.4 

77-5 

26 

24.G 

07.6 

86 

82.2 

25.1 

46 

i39.6 

4a  .7 

06 

197.0 

60.2 

66 

254-4 

77-8 

27 

258 

07.9 

87 

83.2 

25.4 

47 

i4o.6 

43.o 

07 

198.0 

6o.5 

67 

255.3 

78.1 

28 

26  8 

08.2 

88 

84.2 

25.7 

48 

i4i.5 

43.3 

00 

198.9 

60.8 

63 

256.3 

78.4 

29 

27.7 

08.5 

89 

85.i 

26.0 

49 

43.6 

09 

199.9 

61.1 

6g 

257.2 

78.6 

3o 

28.7 

08.8 

90 

86.1 

26.3 

5o 

i43.4 

43.9 

10 

200.8 

5:  .4 

70 

258.2 

78.9 

3i 

29.6 

09.  1 

91 

87.0 

26.6 

i5i 

i44-4 

44.i 

211 

201  .8 

61.7 

271 

269.2 

79.2 

32 

3A.fi 

oq  4 

92 

88.0 

26.9 

52 

i45.4 

44-4 

12 

2O2  .7 

02  .0 

72 

260.  I 

79.  b 

33 

3  1.  6 

09.6 

93 

88.9 

27.2 

53 

i46.3 

44.  7 

13 

203.7 

62.3 

73 

26l.I 

79.8 

34 

32.5 

09.0 

89.9 

27.5 

54 

i47.3 

45.o 

i4 

204.6 

62.6 

74 

262.0 

80.  i 

35 

33.5 

IO.2 

o5 

90.8 

27.8 

55 

148.2 

45.3 

i5 

2o5.6 

62  .9 

75 

263.0 

8o.4 

36 

34.4 

ro.5 

96 

91.8 

28.1 

56 

149.2 

45.6 

16 

206.6 

63.2 

76 

263.9 

80.7 

37 

35.4 

10.8 

92.8 

28.4 

57 

iSo.i 

45.9 

17 

207.5 

63.4 

77 

264.9 

81.0 

38 

36.3 

1  1  .  i 

08 

Q3.7 

28.7 

58 

iSi.i 

46.2 

18 

208.5 

63.  7 

78 

266.9 

8i.3 

3o 

37  3 

u.  4 

99 

94.7 

28.9 

iSa.i 

46.5 

19 

209.4 

64.o 

79 

266.8 

81.6 

4o 

38.3 

11.7 

100 

95.6 

29.2 

60 

i53.o 

46.8 

20 

210.4 

64.3 

80 

267.8 

81  .9 

4i 

30.2 

12.0 

101 

96.6 

29.  t> 

161 

1  54.o 

47.i 

221 

21  I  .3 

64.6 

281 

268.7 

82.2 

42   40.2 

17    3 

02 

97.5 

29.8 

62 

i54-9 

47-4 

22 

212.3 

64-9 

82 

269.7 

82.4 

43   4  i.  i 

I?    6 

03 

98.5 

3o.i 

63 

i55.9 

47-7 

23 

2i3.3 

65.2 

83 

270.6 

82.7 

44 
45 

42.1 
43.o 

I2.9 
l3.2 

o4 
o5 

99.5 
100.4 

3o.4 
3o.7 

64 
65 

i56.8 
i57.8 

47-9 
48.2 

24 
25 

2l4-2 
215.2 

65.5 
65.8 

84 
85 

271  .6 
272.5 

•83.0 
83.3 

46 

44-0 

i3.4 

06 

101  .4 

3i  .0 

66 

i58.7 

48.5 

26 

216.1 

66.1 

86 

273.5 

83.6 

47 
48 

44-9 
45.  9 

i3.7 
14.0 

07 
08 

102.3 

io3.3 

3i.3 
3i.6 

67 
68 

159.7 

i6o.7 

48.8 
49.1 

27 
28 

217.1 

218.0 

66.4 
66.7 

87 
88 

274.5 
276.4 

83.9 
84.2 

49 

46.9 

i4-3 

09 

104.2 

3i.9 

69 

161.6 

49-4 

29 

219.0 

67.0 

«9 

276.4 

84.5 

5o 

47.8 

14.6 

IO 

105    2 

32.2 

70 

162.6 

49.7 

3o 

220.0 

07.2 

9° 

277.3 

84.8 

5i 

48.8 

"14.9 

1  I  I 

106.  i 

32.5 

171 

i63.5 

5o.o 

23l 

220.9 

67.5 

291 

278.3 

85.i 

52 

53 

49.7 
5o.7 

15.2 

i5.5 

12 

1  3 

107.  i 
108.1 

32.  7 

33.o 

72 
73 

i64.5 
i65.4 

5o.3 

5o.6 

32 

33 

221  .9 
222.8 

67-8 
68  .  i 

£ 

279.2 
280.2 

85.4 
85.7 

54 
55 

5i.6 
52.6 

r5.8 
16.  i 

i4 

109.0 

I  10.  0 

33.3 
33.6 

74 

75 

166.4 
i67.4 

60.9 

5l  .2 

34 
35 

223.8 
224.7 

68.4 
68.7 

94 
95 

281.2 
282.1 

86.0 
86.2 

56 

57 
58 

53.6 
54.5 
55.5 
56.4 

57.4 

16.4 
16.7 
17.0 
17.2 
17.5 

16 

17 
18 

'9 

20 

1  10.9 
111.9 

1.2.8 

n3.8 
n4.8 

33.9 
34.2 
34.5 
34-8 
35.i 

76 

78 

79 
80 

169.3 
170.2 

171  .2 
172.1 

5i.5 

5i.7 

52.0 

52.3 
52.6 

36 
37 
38 

39 
4o 

22b.7 
226.6 

227  .6 
228.6 
229.5 

69.0 
69.3 
69.6 
69.9 

70.2 

90 

97 
98 

,99 

3oo 

283.1 
284.0 
285.o 
285.9 

286.9 

86.5 
86.8 
87.1 
87.4 
87-7 

Uist.    Dep. 

Lr.l. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist.     Den. 

Lat. 

[For  73  Degrees. 

i'ugeM                                              TABLE  II. 

Difference  of  Latitude  and  Departure  for  18  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

D«>p. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat.    )  Dep. 

I 

01  .0 

oo.3 

61 

58.0 

18.9 

121 

n5.i 

37.4 

181 

172.1 

55.9 

24  1 

229.2 

74.5 

2 

01.9 

00.6 

62 

59.0 

19.2 

22 

116.0 

37.7 

82 

173.I 

56.2 

42 

230.2 

74.8 

3 

02  .9 

00.9 

63 

59.9 

I9.5 

23 

117.0 

38.o 

83 

174.0 

56.6 

43 

23I.I 

75.i 

4 

o3.8 

01  .2 

64 

60.9 

19.8 

24 

117.9 

38.3 

84 

175.0 

56.9 

44 

232.1 

75.4 

5 

o4-8 

01.5 

65 

61.8 

20.1 

25 

118.9 

38.6 

85 

175.9 

57.2 

45 

233.0 

75.  7 

6 

o5.7 

oi  .9 

66 

62.8 

20.4 

26 

119.8 

38.9 

86 

176.9 

57.5 

46 

234.0 

76.0 

7 

06.7 

02.2 

67 

63.7 

20.7 

2~ 

1  20.  8  i  39.2 

87 

177-8 

57.8 

47 

234.9 

76.3 

8 

07.6 

02.5 

68 

64-7 

21  .0 

28 

121.7 

39.6 

88 

178.8 

58.i 

48 

235.9 

76.6 

9 

08.6 

02.8 

69 

65.6 

21.3 

29 

122.7 

39-9 

89 

179.7 

58.4 

49 

236.8 

76.9 

10 

09.5 

o3.i 

70 

66.6 

21.6 

3o 

123.6 

40.2 

9° 

180.7 

58.7 

5o 

237.8 

77.3 

ii 

loT5~ 

o3.4 

7i 

67.5 

21.9 

i3i 

124.6 

4o.5 

i9i 

181.7 

D9.0 

25l 

238.  7 

77-6 

12 

ii.  4 

o3.7 

72 

68.5 

22.2 

32 

125.5 

4o.8 

92 

182.6 

59.3 

52 

239.7 

77-9 

i3 

12.4 

04.0 

73 

69.4 

22.6 

33 

126.5 

4i.i 

93 

i83.6 

59.6 

53 

240.6 

78.2 

i4 

i3.3 

o4.3 

74 

70.4 

22.  9 

34 

127.4 

4i-4 

94 

i84.5 

59.o 

54 

241.6 

78.5 

i5 

i4.3 

04.6 

75 

71.3 

23.2 

35 

128.4 

4i.7 

95 

i85.5 

6o.3 

55 

242.5 

78.8 

16 

15.2 

04.9 

76 

72.3 

23.5 

36 

129.3 

42.0 

96 

186.4 

60.6 

56 

243.5 

79.1 

17 

16.2 

o5.3 

77 

73.9 

23.8 

37 

i3o.3 

42.3 

97 

187.4 

60.  9 

57 

244-4 

79-4 

18 

17.1 

o5.6 

78 

74.2 

24.1 

38 

l3l.2 

42.6 

98 

i88.3 

61.2 

58 

245.4 

79-7 

19 

18.1 

05.9 

79 

75.i 

24-4 

39 

i3a.a 

43.o 

99 

189.3 

6i.5 

59 

246.3 

80.0 

20 

19.0 

06.2 

80 

76.1 

24-7 

4o 

1  33.i 

43.3 

200 

190.2 

61.8 

60 

247.3 

8o.3 

21 

20.  o 

o6~5~ 

~8T 

77.0 

25.0 

Mi 

1  34.i 

43.6 

201 

I9I  .2 

62.1 

261 

248.2 

80.  7 

22 

20.9 

06^8 

82 

78.0 

25.3 

42 

1  35.1 

43.9 

O2 

I92.I 

62.4 

62 

249.2 

81.0 

23 

21  .9 

07.1 

83 

78.9 

25.6 

43 

1  36.o 

44.2 

o3 

I93.I 

62.7 

63 

250.1 

8i.3 

24 

22.8 

07  4 

84 

79-9 

26.0 

44 

137.0 

44.5 

04 

194.0 

63.o 

64 

a5i.i 

81.6 

25 

23.8 

07  7 

85 

80.8 

26.3 

45 

137.9 

44.8 

o5 

I95.O 

63.3 

65 

252.0 

81.9 

26 

24.7 

08  'o 

86 

81.8 

26.6 

46 

1  38.0 

45.i 

06 

195.9 

63.7 

66 

253.0 

82.2 

27 

25.7 

o8.3 

87 

82.7 

26.9 

47 

139.8 

45.4 

07 

196.9 

64.o 

67 

253.9 

82.5 

28 

26.6 

08.7 

88 

83.7 

27.2 

48 

i4o.8 

45.7 

08 

197.8 

64.3 

68 

254.9 

82.8 

29 

27.6 

09.0 

89 

84-6 

27.5 

49 

141.7 

46.o 

09 

198.8 

64.6 

69 

255.8 

83.i 

3o 

28.5 

09.3 

9° 

85.6 

27.8 

5o 

142.7 

46.4 

10 

199.7 

C4-9 

70 

256.8 

83.4 

~3T 

29.5 

09.6 

91 

86.5 

28.1 

i5i 

i43.6 

46.7 

211 

200.7 

65.2 

27I 

257.7 

83.  7 

3s 

3o.4 

09.9 

92 

87.5 

28.4 

52 

144.6 

47.0 

12 

201  .6 

65.5 

72 

258.  7 

84.i 

33 

3i.4 

10.2 

93 

88.4 

28.7 

53 

i45.5 

47-3 

13 

202.6 

65.8 

73 

259.6 

84.4 

34 

32.3 

io.5 

94 

89.4 

29.0 

54 

i46.5 

47-6 

i4 

2o3.5 

66.1 

74 

260.6 

84-7 

35 

33.3 

10.8 

95 

90.4 

29.4 

55 

i47-4 

47-9 

i5 

204.5 

66.4 

75 

26i.5 

85.o 

36 

34.2 

ii  .  i 

96 

9i.3 

29.7 

56 

i48.4 

48.2 

16 

205.4 

66.7 

76 

262.5 

85.3 

37 

35.2 

ii.  4 

97 

92.3 

3o.o 

57 

i49.3 

48.5 

17 

206.4 

67.1 

77 

263.4 

85.6 

38 

36.i 

ii.  7 

98 

93.2 

3o.3 

58 

i5o.3 

48.8 

18 

207.3 

67.4 

78 

264.4 

85.9 

39 

37.i 

12     I 

99 

94.2 

3o.6 

59 

l5l.2 

49.i 

19 

208.3 

67.7 

79 

265.3 

86.2 

4o 

38.o 

12.4 

100 

95.; 

3o.9 

60 

iSa.a 

49.4 

20 

209.2 

68.0 

80 

266.3 

86.5 

4i 

39.0 

I2.7 

IOI 

96.1 

3l.2 

161 

i53.i 

49.8 

221 

210.2 

68.3 

281 

267  .  2 

86.8 

42 

39-9 

i"3.o 

02 

97.0 

3i.5 

62 

i54.i 

5o.i 

»22 

211  .  I 

68.6 

82 

268.2 

87.1 

43 

40.9 

i3.3 

o3 

98.0 

3i.8 

63 

i55.o 

5o.4 

23 

212.  I 

68.9 

83 

269.1 

87.5 

44 

4i.8 

i3.6 

o4 

98.  9 

32.1 

64 

r56.o 

50.7 

24 

2i3.q 

69.2 

84 

270.1 

87.8 

45 

42.8 

,3.9 

o5 

99-9 

32.4 

65 

i56.9 

5i.o 

25 

214.0 

69.5 

85 

27I.I 

88.1 

46 

43.7 

14.2 

06 

100.8 

32.8 

66 

i57.o 

5i.3 

26 

214.9 

69.8 

86 

272.O 

88.4 

47 

44-7 

i4.5 

07 

101.  8 

33.i 

67 

1  58.8 

5i.6 

27 

215.9 

70.1 

87 

273.0 

88.7 

48 

45.7 

14.8 

08 

102.7 

33.4 

68 

159.8 

5i.9 

2.8 

216.8 

7o.5 

88 

273.9 

89.0 

P 

46.6 

i'5.i 

09 

103.7 

33.7 

69 

160.7 

52.2 

29 

217.8 

70.8 

89 

274-9 

89.3 

5o 

47.6 

i5.5 

10 

104.6 

34.o 

70 

161  .7 

52.5 

3o 

218.7 

71.1 

90 

275.8 

89.6 

~5T 

48.5 

i5.8 

III 

io5.6 

34.3 

171 

162.6 

5a.  B 

^3T 

219.7 

71.4 

291 

276  8 

89.9 

5  a 

49.5 

16.1 

12 

io6.5 

34.6 

72 

i63.6 

53.2 

32 

220.6 

7i-7 

92 

277.7 

90.2 

53 

5o.4 

16.4 

i3 

107.5 

34.  9 

73 

i64.5 

53.5 

33 

221  .6 

72.0 

93 

278.7 

90.5 

54 

5i.4 

16.7 

i4 

108.4 

35.2 

74 

i65.5 

53.8 

34 

222.5 

72.3 

94 

279.6 

90.9 

55 

52.3 

17.0 

i5 

109.4 

35.5 

75 

166.4 

54.i 

35 

223.5 

72.6 

95 

280.6 

91.2 

56 

53.3 

i7.3 

16 

no.  3 

35.8 

76 

167.4 

54-4 

36 

224.4 

72-9 

96 

281.5 

91  !5 

57 

54.2 

17.6 

17 

ill.  3 

36.2 

77 

i68.3 

54-7 

37 

225.4 

73.? 

97 

282.5 

91.8 

58 

55.2 

17.9 

18 

I  12.2 

36.5 

78 

169.3 

55.o 

38 

226.4 

73.5 

98 

283.4 

92.1 

59 

56.i 

18:2 

19 

II3.2 

36.8 

79 

170.2 

55.3 

39 

227.3 

73-9 

99 

284  4 

92.4 

60 

67.  i 

i8.5 

20 

114.  i 

37.i 

80 

171.2 

55.6 

4o 

228.3 

74.2 

3oo 

285.3 

92.7 

j  D!~|L 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

-Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

_  —  ,  .  _  — 
|_                                                                                                                            [For  72  l)egre«s. 

TABLE    II.                                                                [Page  35 

Difference  of  Latitude  and  Departure  for  19  Degrees. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep 

I 

00.9 

oo.3 

61 

57-7 

19.9 

121 

ii4-4 

39.4 

i«i 

171.1 

58.  9 

24  1 

22-7.9 

78.5 

2 

01  .0 

oo.  7 

62 

58.6 

2O.  2 

22 

n5.4 

39.7 

82 

I72.I 

42 

228.8 

78.8 

3 

02.8 

01  .O 

63 

59.6 

20.5 

23 

ii6.3 

4o.o 

83 

1  73.o 

5o.6 

43 

220.8 

70  i 

4 

o3.8 

oi.3 

64 

6o.5 

20.8 

24 

117.2 

4o.4 

84 

i74.o 

SQ  Q 

44 

236.7 

/y  •  • 
70.4 

.*> 

o4-7 

01  .6 

65     6i.5 

21  .2 

25 

118.2 

4o.7 

85 

174.9 

60!  2 

45 

23i.7 

/y  •*» 
79-8 

6 

o5.7 

02.  o 

66 

62.4 

21.5 

26 

ii9.i 

4i  .0 

86 

I75.Q 

60.6 

46 

232.6 

80., 

7 

06.6 

02.3 

67 

63.3 

21.8 

27 

I  20.  I 

4i.3 

87 

176.8 

60.9 

47 

233.5 

80.4 

8 

o7.6 

02.6 

68 

64.3 

22.1 

28 

121  .0 

4i-7 

88 

177-8 

61.2 

48 

234.5 

80.  7 

9)ob.5 

O2  .0 

69 

65.2 

22.5 

29 

122.0 

42.0 

89 

178.7 

61.5 

49 

235.4 

81.1 

10 

Q9-5 

o3.3 

70 

66.2 

22.8 

3o 

122.9 

42.3 

9° 

179-6 

61.9 

5o 

236.4 

81.4 

ii 

10.4 

o3.6 

71 

67.1 

23.1 

i3i 

123.  9 

42.6 

191 

180.6 

62.2 

a5i 

237.3 

gj 

12 

ii.  3 

o3.9 

72 

68.1 

23.4 

32 

124.8 

43.o 

9? 

i8i.5 

62.5 

52 

238.3 

82!o 

i3 

12.3 

04.2 

73 

69.0 

23.8 

33 

125.8 

43.3 

93 

182.5 

62.8 

53 

239.2 

82.4 

c4 

13.2 

04.6 

74 

70.0 

24.1 

34 

I26.7 

43.6 

94 

i83.4 

63.2 

54 

240.2 

82.7 

i5 

14.2 

04.9 

75 

70.9 

24.4 

35 

127.6 

44.o 

95 

184.4 

63.5 

55 

241  .  i 

83.o 

16 

i5.  i 

05.2 

76 

71.9 

24.7 

36 

128.6 

44.3 

96 

i85.3 

63.8 

56 

242.  i 

83.3 

17 

16.1 

o5.5 

77 

72.8 

25.1 

37 

I29.5 

44-6 

97 

i86.3 

64.i 

57 

243.0 

83.  7 

.8 

17.0 

05.9 

76 

73.8 

25.4 

38 

i3o.5 

44-  9 

98 

187.2 

64.5 

58 

243.9 

84.0 

'9 

18.0 

06.2 

79 

74.7 

25.7 

39 

i3i.4 

45.3 

99 

188.2 

64.8 

59 

244.9 

84.3 

20 

18.9 

o6.5 

80 

75.6 

26.0 

4o 

i32.4 

45.6 

200 

189.1 

65.i 

60 

245.8 

84.6 

21 

19.9 

06.8 

81 

76.6 

26.4 

Mi 

i33.3 

45.9 

201 

190.0 

65.4 

261 

246.8 

85.o 

22 

20.8 

07.2 

82 

77-5 

26.7 

42 

i34.3 

46.2 

02 

191  .0 

65.8 

62 

247.7 

85.3 

23 

21.  7 

o7.5 

83 

78.5 

27.0 

43 

i35.2 

46.6 

o3 

191.9 

66.1 

63 

248^7 

85.6 

24 

22.7 

07.8 

84 

79.4 

27.3 

44 

i36.2 

46.9 

o4 

192.  9 

66.4 

64 

249.6 

86.0 

25 

23.6 

08.  i 

85 

8o.4 

27-7 

45 

i37.i 

47.2 

o5 

193.8 

66.  7 

65 

25o.6 

86.3 

26 

24.6 

o8.5 

86 

8i.3 

28.0 

46 

i38.o 

47.5 

06 

194.8 

67.1 

66 

25i.5 

86.6 

27 

25.5 

08.8 

87 

82.3 

28.3 

47 

i39.o 

47.9 

07 

195.7 

67.4 

252.5 

86.  9 

28 

26.5 

09.1 

88 

83.2 

28.  7 

48 

139.9 

48.2 

08 

196.7 

67-7 

68 

253.4 

87.3 

29 

27-4 

09.4 

89 

84.2 

29.0 

49 

146.9 

48.5 

°9 

197.6 

68.0 

Go 

254.3 

87.6 

3o 

28.4 

09.8 

90 

85.i 

29.3 

5o 

i4i.8 

48.8 

10 

198.6 

68.4 

70 

255.3 

87.9 

3i 

29.3 

10.  I 

9r 

86.0 

29.6 

i5i 

142.8 

49.2 

211 

i99.5 

68.7 

271 

256.2 

88.2 

32 

3o.3 

10.4 

02 

87.o 

3o.o 

52 

i43.7 

49.5 

12 

200.4 

69.0 

73 

257.2 

88.6 

33 

3l.2 

10.7 

93 

8-7.9 

3o.3 

53 

i44.7 

49.8 

i3 

201.4 

69.3 

73 

258.1 

88.  9 

34 

32.  I 

ii.  i 

94 

88.9 

3o.6 

54 

i45.6 

56.i 

i4 

202.3 

69.7 

74 

259.I 

89.2 

35 

33.i 

ii.  4 

95 

89.8 

3o.9 

55 

j.46.6 

5o.5 

i5 

2o3.3 

70.0 

75 

260.0 

89.5 

36 

34.o 

11.7 

96 

90.8 

3i.3 

56 

5o.8 

16 

204.2 

70.3 

/6 

261.0 

89-9 

37 

35.o 

12.0 

97 

91.7 

3i.6 

5-7 

i48!4 

5i  .1 

17 

2O5.2 

70.6 

77 

261  .9 

00.2 

38 

35.9 

12.4 

98 

92.  7 

3i  .9 

58 

i49.4 

5i.4 

18 

206.  1 

71.0 

78 

262.  9 

9o.5 

39 

36  9 

12.7 

99 

93.6 

32.2 

59 

i5o.3 

5i.8 

19 

207.  1 

7i.3 

79 

263.8 

90.8 

4o 

37.8 

i3.o 

100 

94.6 

32.6 

60 

i5i.3 

52.1 

20 

208.0 

71.6 

80 

264.  7 

4i 

38.8 

i3.3 

101 

95.5 

32.9 

161 

l52.2 

52.4 

221 

209.0 

72.0 

281 

265.7 

91.5 

42 

39.7 

i3.7 

02 

96.4 

33.2 

62 

i53.2 

52.  7 

22 

209.9 

82 

266.6 

91.8 

43 

40.7 

i4.o 

o3 

97-4 

33.5 

63 

i54.i 

53.i 

23 

210.  9 

7^6 

83 

267.6 

92.1 

44 

4i.6 

i4.3 

o4 

98.3 

33.9 

64 

i55.i 

53.4 

24 

211.  8 

72.  9 

84 

268.5 

92.5 

45 

42.5 

14.7 

o5 

99-3 

34.2 

65 

i56.o 

53.  7 

2.5 

212-7 

73.3 

85 

269.5 

92.8 

46 

43.5 

i5.o 

06 

IOO.  2 

34.5 

66 

157.0 

54.o 

26 

2l3.7 

73.6 

86 

270.4 

93.1 

47 

44.4 

i5.3 

07 

[OI  .2 

34.8 

67 

'57-9 

54-4 

27 

214.6 

73.  9 

87 

271.4 

93.4 

4'8 

45.4 

i5.6 

08 

102.  I 

35.2 

68 

i58.8 

54.7 

28 

2i5.6 

74-2 

88 

272.3 

93.8 

49 

46.3 

16.0 

09 

io3.i 

35.5 

69 

159.8 

55.o 

29 

216.  5 

74.6 

89 

273.3 

94.J 

5o 

47.3 

i6.3 

10 

104.0 

35.8 

7° 

160.7 

55.3 

3o 

2I7.5 

74-9 

9° 

274.2 

94.4 

'  5i 

48.2 

16.6 

in 

io5.o 

36.i 

171 

161  .7 

~55.  7 

23l 

218.4 

75.2 

291 

275.1 

94-  7 

52 

49.2 

16.9 

12 

105.9 

36.5 

72 

162.6 

56.o 

32 

^19.4 

75.5 

92 

276.1 

95.1 

53 

56.i 

17.3 

i3 

106.8 

36.8 

73 

i63.6 

56.3 

33 

220.  3 

75.  9 

93 

277.0 

95.4 

54 

17.6 

i4 

107.8 

37.i 

74 

i64.5 

56.6 

34 

221.3 

76.2 

94 

278.0 

95.7 

55 

52  !o 

17.9 

i5 

108.7 

37-4 

75 

i65.5 

57.o 

35 

222.2 

76.5 

95 

278.9 

06.0 

56 

52.9 

18.2 

16 

109.7 

37.b 

76 

166.4 

57.3 

36 

223.1 

76.8 

96 

279.9 

06.4 

57 

53.o 

18.6 

17 

no.  6 

38.i 

77 

167.4 

57.6 

37 

224.1 

77-2 

97 

280.8 

96.7 

58 

54.8 

18.9 

18 

in.  6 

38.4 

78 

i68.3 

58.o 

38 

225.0 

77-5 

98 

281.8 

97.0 

59 

55.8 

19 

112.  5 

38.  7 

79 

169.2 

58.3 

39 

226.0 

77.8 

99 

282.  7 

97.3 

60 

56.  7 

19.5 

W 

20 

n3.5 

39.i 

80 

170.2 

58.6 

4o 

226.9 

78.1 

3oo 

283.  7 

97.7 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  ?i  Degrees. 

I>age36]                                                             TABLE    II. 

Difference  of  Latitude  and  Departure  for  20  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

l).st. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

oo.o 

00.3 

~6T 

57.3 

20.9 

121 

ii3.7 

4.1.4 

181 

170.1 

61.9 

241 

226.5 

82.4 

2 

7 

01  .9 

00.7 

62 

58.3 

21.2 

22 

114.6 

41.7 

82 

171  .0  i  62.2 

42 

227.4 

82.8 

3 

02.8 

01  .0 

63 

5Q.2 

21.5 

23 

n5.6 

42.1 

83 

172.0    626 

43    228.3 

83.i 

4 

o3.8 

01  .4 

64 

66.  i 

9I.9 

24 

n6.5 

42.4 

84 

172.9 

62.9 

44    229  3 

83.5 

5 

04.7 

01.7 

65 

61.1 

22.2 

25 

ii7.5 

42.8 

85 

173.8 

633 

45 

230    2 

83.8 

6 

o5.6 

02.  I 

66 

62.0 

22.6 

26 

118.4 

43.i 

86 

174.8 

63.6 

46 

231.2 

84.1 

7 

c6.6 

02.4 

67 

63.o 

22.9 

27 

n9.3 

43.4 

87 

I75.7 

64.0 

47 

232.1 

84.5 

8 

o7.5 

02.7 

68 

63.  9 

23.3 

28 

120.3 

43.8 

88 

176.7 

64-3 

48 

233.0 

84.8 

9 

o8.5 

o3.i 

69 

64.8 

23.6 

29 

121  .2 

44.i 

89 

177.6 

64-6 

49 

234.0 

85.2 

10 

09.4 

o3.4 

70 

65.8 

23.9 

3o 

122.2 

44.5 

90 

178.5 

65.o 

5o 

234.  9 

85.5 

ii 

io.3 

o3.8 

?i 

66.7 

24.3 

i-3-i 

123.  I 

44.8 

191 

179.5 

65.3 

25l 

235.  9 

85.8 

12 

n.  3 

04.  i 

72 

67.7 

24.6 

32 

124.0 

45.i 

92 

180.4 

65.7 

52 

236.8 

86.2 

i3 

12.2 

o4-4 

73 

68.6 

25.0 

33 

125.0 

45.5 

93 

181.4 

66.0 

53 

237.7 

86.5 

i.4 

l3.2 

04.8 

74 

69.5 

25.3 

34 

125.9 

45.8 

94 

182.3 

66.4 

54 

238.7 

86.9 

i5 

14.1 

o5.i 

75 

7P.5 

25.7 

35 

126.9 

46.2 

95 

1  83.  a 

66.7 

55 

239.6 

87.2 

16 

i5.o 

o5.5 

76 

71-4 

26.0 

36 

127.8 

46.5 

96 

184.2 

67.0 

56 

240.6 

87.6 

17 

16.0 

o5.8 

77 

72.4 

26.3 

37 

128.7 

46.9 

97 

i85.i 

67.4 

57 

241.5 

87.9 

18 

16.9 

06.2 

78 

73.3 

26.7 

38 

129.7 

47-2 

98 

1  86.  i 

67.7 

58 

242.4 

88.2 

*9 

17.9 

o6.5 

79 

74-2 

27.0 

39 

i3o.6 

47-5 

99 

187.0 

68.1 

59 

243.4 

88.6 

20 

18.8 

06.8 

80 

75.2 

27.4 

4o 

i3i.6 

47-9 

200 

187.9 

68.4 

60 

244.3 

88.9 

21 

19.7 

07.2 

~8T 

76.1 

27.7 

i4i 

i32.5 

48.2 

201 

188.9 

68.7 

261 

245.3 

89.3 

22 

20.7 

o7.5 

82 

77.1 

28.0 

42 

i33.4 

48.6 

02 

189.8 

69.1 

62 

246.2 

89.6 

23 

21.6 

07.9 

83 

78.0 

28.4 

43 

i34.4 

48.9 

03 

1  9o.  8 

69.4 

63 

247-1 

90.0 

24 

22.6 

08.2 

84 

78.9 

28.7 

44 

i35.3 

49-3 

o4 

i9i  .7 

69.8 

64 

248.1 

90.3 

25 

23.5 

08.6 

85 

79-9 

29.1 

45 

i36.3 

49-6 

o5 

192.6 

70.1 

65 

249.O 

90.6 

26 

24.4 

08.0 

86 

80.8 

29.4 

46 

l37.2 

49.9 

06 

193.6 

70.5 

66 

250.O 

91.0 

27 

25.4 

09.2 

87 

81.8 

29.8 

47 

i38.i 

5o.3 

07 

194.5 

70.8 

67 

25o.9 

91.3 

28 

26.3 

09.6 

88 

82.7 

3o.i 

48 

139.1 

5o.6 

08 

195.5 

71.1 

68 

a5i.8 

91.7 

29 

27.3 

09.9 

89 

83.6 

3o.4 

49 

i4o.o 

5i.o 

09 

196.4 

7i.5 

69 

252.8 

92.0 

3o 

28.2 

io.3 

9° 

84.6 

3o.8 

5o 

MI  .0 

5i.3 

10 

197.3 

71.8 

70 

253.7 

$2j 

"  3i 

29.1 

10.6 

91 

85.5 

"3T7T 

i5i 

"14^9" 

5i.6 

211 

198.3 

72.2 

271 

254.7 

92.7 

32 

3o.i 

IO.O 

92 

86.5 

3i.5 

52 

1  42.  8 

52.0 

12 

199.2 

72.5 

72 

255.6 

93.0 

33 

3i  .0 

n  .3 

93 

87.4 

3i.8 

53 

i43.8 

52.3 

i3 

2OO.  2 

72.9 

73 

256.5 

93.4 

34 

3i.9 

11.6 

94 

88.3 

32.1 

54 

i44.7 

52.7 

i4 

201  .1 

73.2 

74 

257.5 

93.7 

35 

32.9 

12.0 

95 

89.3 

32.5 

55 

i45.7 

53.o 

i5 

202.0 

73.5 

75 

258.4 

94.1 

36 

33.8 

12.3 

96 

90.2 

32.8 

56 

i46.6 

53.4 

16 

2O3.0 

73-9 

76 

259.4 

94-4 

37 

34.8 

12.7 

97 

91.2 

33.2 

57 

i47-5 

53.7 

17 

203.9 

74-2 

77 

260.3 

94.7 

38 

35.7    i3.o 

98 

92.1 

33.5 

58 

i48.5 

54.o 

18 

204-9 

74.6 

78 

•J.6l  .2 

95.1 

39 

36.6 

i3.3 

99 

93.0 

33.9 

59 

149.4 

54-4 

!9 

2o5.8 

74-9 

79 

262.2 

95.4 

4o 

37.6 

i3.7 

100 

94.0 

34.2 

60 

i5o.4 

54-7 

20 

206.7 

75.2 

80 

263.1 

95.8 

4.i 

38.5 

i4.o 

101 

94.9 

34.5 

161 

i5i.3 

55.i 

221 

207.7 

75.6 

281 

264.1 

96.1 

42 

39.5 

i4-4 

02 

95.8 

34.9 

62 

l52.2 

55.4 

22 

208.6 

75-9 

82 

265.0 

96.4 

43 

4o.4 

14.7 

o3 

96.8 

35.2 

63 

i53.2 

55.7 

23 

209  .  6 

-6.3 

83 

265.9 

96.8 

44 

4i.3 

r5.o 

o4 

97-7 

35.6 

64 

1  54.1 

56.i 

24 

210.5 

76.6 

84 

266.9 

97.1 

45 

42.3 

i5.4 

o5 

9«-7 

35.9 

65 

i55.o 

56.4 

25 

21  I  .4 

77-o 

85 

267.8 

97-5 

46 

43.2 

i5.7 

06 

99.6 

36.3 

66 

i56.o 

56.8 

26 

212.4 

77-3 

86 

268.8 

97-8 

47 

44.2 

16.1 

07 

i  oo  .  5 

36.6 

67 

i56.9 

57.i 

27 

2i3.3 

77-6 

87 

269.  7 

98.2 

48 

45.i 

16.4 

08 

101  .5 

36.9 

68 

i5?.9 

57.5 

28 

2  I  4  •  2 

78.0 

88 

270.6 

98.5 

P 

46.o 

16.8 

09 

102.4 

37.3 

69 

i58.8 

57.8 

29 

215.2 

78.3 

89 

271  .6 

98.8 

So 

47-0 

17.1 

10 

io3.4 

37.6 

70 

159.7 

58.i 

3o 

2  1  6  .  1 

78.7 

GO 

272.5 

99.2 

~5T 

47-9 

17-4 

II  I 

io4.3 

38.o 

171 

160.7 

58.5 

a3i 

217.1 

79.0 

291 

273.5 

99-5 

52 

48.9 

17.8 

12 

I05.2 

38.3 

72 

161.6 

58.8 

32 

218.0 

79-3 

92 

274-4 

99.9 

53 

49.8 

18.  i 

i3 

106.2 

38.6 

73 

162.6 

59.2 

33 

218.9 

79-7 

93 

275.3 

100.2 

54 

5o.7 

i8.5 

i4 

107.  1 

39.0 

74 

i63.5 

59.5 

34 

219.9 

80.0 

94 

276.3 

100.6 

55 

5i   7 

18.8 

i5 

108.1 

39.3 

75 

164.4 

59.9 

35 

220.8 

80.4 

95 

277.2 

100.9 

56 

52.6 

19.2 

16 

109.0 

397 

76 

i65.4 

_  '      ' 

60.2 

36 

221.8 

80.7 

96 

278.1 

IO1  .2 

57 

53.6 

i9.5 

17 

109.9 

4o.o 

77 

i66.3 

6o.5 

37 

222  .7 

81.1 

97 

279.1 

101.6 

58 

54.5 

n;.8 

18 

1  10.9 

40.4 

78 

167.3 

60.0 

38 

223.6 

8i.4 

98 

280.0 

101.9 

A9 

55.4 

2U.2 

19 

in.  8 

40.7 

79 

168.2 

6,  .2 

39 

224.6 

81.7 

99 

281.0 

102.3 

60 

56.4 

20.5 

20 

112.  8 

4i  .0 

80 

169.  i 

61.6 

4o 

22^.5 

82.1 

3oo 

281.9 

1  02.  6 

bist 

Dep. 

Lat. 

Dist. 

Hep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

L«i. 

[For  70  Degrees. 

TABLE     II.                                                               tpage37 

Difference  of  Latitude  and  Departure  for  21  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

)ist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

I 

00.9 

00.4 

61 

56.  o 

21.9 

121 

i  i3.o 

43.4 

181 

69.o 

64  -9 

24  1 

25.0 

86.4 

2 

01.9 

00.  7 

62 

57,0 

22.2 

22 

1  13.9 

43.7 

82 

69.9 

65.2 

42 

25.9 

86.7 

3 

02.8 

OI  .1 

63 

58.8 

22.6 

23 

ii4.8 

44.i 

83 

70.8 

65.6 

43 

26.0 

87.1 

4 

o3.7 

01.4 

64 

59.7 

22.9 

24 

ii5.8 

44-4 

84 

71.8 

65.9 

44 

27.8 

87.4 

5 

o4-7 

01.8 

65 

60.7 

23.3 

25 

116.7 

44-8 

85 

72.7 

66.3 

45 

28.7 

87.8 

6 

o5.6 

02.2 

66 

61.6 

23.7 

26 

117.6 

45.2 

86 

i73.6 

66.7 

46 

29.7 

88.2 

7 

o6.5 

02.5 

67 

62.5 

24.0 

27 

118.6 

45.5 

87 

74-6 

67.0 

47 

3o.6 

88.5 

8 

o7.5 

02.9 

68 

63.5 

24.4 

28 

119.5 

45.9 

88 

i75.5 

67.4 

48 

23i.5 

88.9 

9 

08.4 

03.2 

69 

64-4 

24.7 

29 

120.4 

46.2 

89 

176.4 

67.7 

49 

232.5 

89.2 

10 

o9.3 

o3.6 

65.4 

25.1 

3o 

121.4 

46.6 

90 

177-4 

68.1 

5o 

233.4 

89.6 

ii 

io.3 

o3.9 

71 

66.3 

25.4 

i3i 

122.3 

46.9 

191 

78.3 

b8.4 

25l 

234.3 

90.0 

12 

I  I  .2 

o4.3 

72 

67.2 

25.8 

32 

123.2 

47.3 

92 

179.2 

6S.8 

52 

235.3 

9o.3 

i3 

12.  I 

04.7 

73 

68.2 

26.2 

33 

124.2 

47-7 

93 

180.2 

69.2 

53 

236    2 

9°-7 

i4 

l3  .  I 

o5.o 

74 

69.  i 

26.5 

34 

125.  I 

48.o 

94 

181.1 

69.b 

54 

237.I 

9i.o 

i5 

14.0 

o5.4 

75 

70.0 

26.9 

35 

126.0 

48.4 

95 

182.0 

°9-9 

55 

238.1 

9i.4 

1  6 

14.9 

o5.7 

76 

71.0 

27.2 

36 

127.0 

48.7 

96 

i83.o 

70.2 

56 

239.0 

91.7 

'7 

1,5.9 

06.  i 

77 

71.0 

27.6 

37 

127.9 

97 

183.9 

70.6 

57 

239.9 

92.1 

18 

16.8 

o6.5 

78 

72.8 

28.0 

38 

128.8 

49.5 

98 

184.8 

71.0 

58 

240.9 

92.b 

19 

17.7 

06.8 

79 

73.8 

28.3 

39 

129.8 

49.8 

99 

i85.8 

7i.3 

59 

241.8 

92.8 

20 

18.7 

07.2 

80 

74-7 

28.7 

4o 

i3o.7 

50.2 

iOO 

186.7 

71.7 

60 

242.7 

93.2 

21 

19.6 

o7.5 

81 

75.6 

29.0 

i4i 

i3i.6 

5o.5 

201 

187.6 

72.0 

261 

243.7 

93.5 

22 

20.5 

07.9 

82 

76.6 

29.4 

42 

i32.6 

DO.  9 

02 

188.6 

72-4 

62 

244.6 

93.9 

43 

21.5 

08.2 

83 

77-5 

29.  7 

43 

i33.5 

5l.2 

03 

189.5 

72.7 

63 

245.5 

94-3 

24 

22.4 

08.6 

84 

78.4 

3o.i 

44 

i34.4 

5i.6 

o4 

190.5 

73.i 

64 

246.5 

94-6 

23.3 

09.0 

85 

79-4 

3o.5 

45 

i35.4 

52.0 

o5 

191  .4 

73.b 

bb 

247-4 

o5.o 

26 

24.3 

09.3 

86 

8o.3 

3o.8 

46 

i36.3 

52.3 

06 

192.3 

73.8 

66 

248.3 

9b.3 

27 

25.2 

09.7 

87 

81.2 

3l.2 

47 

137.2 

52.7 

07 

i93.3 

74-2 

67 

249.3 

(p.7 

28 

26.1 

IO.O 

88 

82.2 

3i.5 

48 

i38.2 

53.o 

08 

I94-2 

74-b 

68 

250.2 

96.o 

27.1 

10.4 

89 

83.i 

3i.9 

139.1 

53.4 

09 

i95.  i 

74-9 

69 

25l.I 

96.4 

3o 

28.0 

10.8 

90 

84.0 

32.3 

5o 

i4o.o 

53.8 

IO 

196.1 

7b.3 

70 

252.1 

9b.8 

3i 

28.9 

1  1  .  i 

91 

85.o 

32.6 

i5i 

i4i.o 

54-1 

211 

197.0 

75.6 

271 

253.0 

97.1 

32 

33 

29.9 

3o.8 

ii.  5 
ii.  8 

9? 
c3 

85.  9 
86.8 

33.o 
33.3 

52 

53 

141.9 
142.8 

54.5 
54.8 

12 

K 

197.9 
198.9 

•76.0 
76.3 

72 

2b3.9 

254.9 

97.5 
97-8 

34 

3l.7 

12.2 

94 

87.8 

33.7 

54 

i43.8 

55.2 

1^ 

199.8 

76.7 

74 

255.8 

98.2 

35 

32.7 

12.5 

95 

88.  7 

34.o 

55 

i44-7 

55.5 

i5 

200.7 

77.0 

75 

2bb.7 

98.6 

36 

33.6 

12.0 

9* 

89.6 

34-4 

56 

i45.6 

55.9 

16 

201  .7 

77-4 

76 

2b7.7 

98.9 

37 
38 

34.5 
35  .  5 

i3.3 

i3.6 

97 
98 

90.6 
91  .5 

34.8 
35.i 

57 
58 

i46.6 
i47.5 

56.3 
56.6 

17 
1  8 

2O2.6 

2o3.5 

77.8 
78.1 

78 

258.6 
259.5 

99.3 
99-6 

39 

4o 

36.4 
37.3 

i4.o 
i4.3 

99 

IOO 

92.4 
93.4 

35.5 
35.8 

59 
60 

i48.4 
149.4 

57.o 
57.3 

i9 
20 

204.5 

78.b 
78.8 

79 
80 

260.5 
261.4 

IOO.O 

ioo.3 

4i 

38.3 

14.7 

101 

94-3 

36.2 

161 

1  5o  .  3 

57.7 

221 

206.3 

79.2 

281 

262.3 

100.7 

42 

39.2 

02 

36.6 

62 

l5l.2 

58.i 

22 

207.3 

79.6 

82 

263.3 

101.  1 

43 

4o.  i 

i5.4 

03 

06    2 

36.9 

63 

152.2 

58.4 

23 

208.2 

79-9 

83 

264.2 

101.4 

44 

i5.8 

97.I 

37.3 

64 

i53.i 

58.8 

24 

209.1 

80.3 

84 

265.1 

101.8 

42.0 

16.1 

o5 

98.0 

37.6 

65 

i54.o 

59.i 

25 

210.  I 

80.6 

8b 

266.1 

102.1 

46 

42.  9 

i6.5 

06 

99.0 

38.o 

66 

i55.o 

59.5 

26 

211  .0 

81.0 

8b 

2.67.0 

102.5 

47 
48 

49 
5o 

43.  9 
44-8 
45.7 

46.7 

16.8 
17.2 
17.6 
17.9 

07 
08 
09 

10 

99.9 

100.8 
101.8 
102.  7 

38.3 
38.7 
39.i 
39.4 

67 
68 
69 
70 

i55.9 
i56.8 
i57.8 
i58.7 

59.8 
60.2 
60.6 
60.9 

27 

28 

29 

3o 

211  .Q 
212.0 

2i3.8 

214.7 

8i.3 
81.7 

82.1 
82.4 

88 
89 
90 

267.9 
268.9 
269.8 

270.7 

102.9 

<03.2 

io3.6 
io3.9 

"5? 

52 

53 

54 
55 
56 

57 
58 

47.6 
48.5 
49.5 
5o.4 
5i.3 
52.3 
53.2 
54.i 

i8.3 
18.6 
19.0 
19.4 
19.7 

20.1 
20.4 
20.8 

12 

i3 
i4 
i5 
16 

17 
18 

io3.b 
io4.6 
io5.5 

106.4 
1  0-7.4 
io8.3 
109.2 

IIO.  2 

39.8 
4o.i 
4o.5 
4o.9 
41.2 
4i.6 

42.3 

171 

72 
73 
74 
75 
76 
77 
78 

159.6 
160.6 
i6i.5 
162.4 
i63.4 
i64.3 
i65.2 
166.2 

6i.3 
61.6 
62.0 
62.4 
62.7 
63.i 
63.4 
63.8 

2.3  I 
32 

33 
34 

35 
36 
37 
38 

215.7 
216.6 
217.5 
218.  5 

2I9.4 
220.3 
221  .3 
222.2 

82.8 
83.i 
83.5 
83.9 
84.2 
84.6 
84-9 
85.3 

291 
92 
93 

94 

95 
96 

97 
98 

271.7 
272.6 
273.5 
274-5 
275.4 
276.3 
2-77.3 
278.2 

io4-3 
io4.6 
io5.o 
io54 
io5.7 
106.1 
106.4 
1  06  .8 

l9 

55.i 
56.o 

21  .1 
21.5 

20 

II  I  .1 
112.  0 

42.6 
43.o 

167.1 

64.i 
64.5 

39 

4o 

22.3.1 
224.1 

85.6 
86.0 

3oo 

279.1 

280.1 

I07.2 
I07.5 

Dist. 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep 

Lat. 

Dis 

Dep. 

Lat 

Dis 

Dep. 

Lat. 

[For  69  Degrees. 

Page38J                                                             TABLL    II. 

Difference  of  Latitude  and  Departure  for  22  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

OO.Q 

oo.4 

61 

56.6 

22.9 

121 

112.2 

45.3 

181 

167.8 

67.8 

24  1 

223.5 

90.3 

2 

w  .  y 

OI  .Q 

00.7 

62 

57.5 

23.? 

22 

II3.I 

45.7 

82 

168.7 

68.2 

42 

224.4 

90.7 

3 

*       7 

02.8 

OI.I 

63 

58.4 

23.6 

23 

i  i  4  .  o 

46.i 

83 

169.7 

68.6 

43 

225.3 

91.0 

4 

o3.7 

oi.5 

64 

59.3 

24.0 

24 

n5.o 

46.5 

84 

170.6 

68.9 

44 

226.2 

9'  -4 

o4.6 

01  .9 

65 

6o.3 

24.3 

25 

1  1  5  .  9 

46.8 

85 

I7I.5 

69.3 

45 

227.2 

91.8 

6 

o5.6 

02.2 

66 

61.2 

24.7 

26 

1  16.  8 

47-2 

86 

172.5 

69.7 

46 

228.1 

92.2 

7 

02.6 

67 

62.1 

25.1 

27 

1  17.  b 

47-6 

87 

173.4 

70.1 

47 

229.0 

.  92.5 

3 

07.4 

o3.o 

68 

63.o 

25.5 

28 

i-»8.7 

47-9 

88 

174.3 

70.4 

48 

229.9 

Q 

o8.3 

o3.4 

69 

64.o 

25.8 

29 

119.6 

48.3 

89 

I75.2 

70.8 

49 

230.9 

o3  3 

y 

10 

o9.3 

o3.7 

70 

64-9 

26.2 

32 

120.5 

48.7 

90 

176.2 

71.2 

5o 

23i.8 

93.7 

n 

10.2 

04.1 

71 

65.8 

26.6 

i3i 

J21  .5 

49.1 

191 

i77.i 

7i.5 

a5i 

232.7 

94.0 

12 

II  .1 

o4.5 

72 

66.8 

27.0 

32 

122    4 

49.4 

92 

i78.o 

71.9 

52 

233.7 

94.4 

i3 

12.  I 

04.9 

73 

67.7 

27.3 

33 

123.3 

49.8 

93 

178.9 

72.3 

53 

234-6 

94.8 

i4 

i3.o 

05.2 

74 

68.6 

27.7 

34 

124.2 

50.2 

94 

179.9 

72.7 

54 

235.5 

95.2 

i5 

13.9 

o5.6 

75 

69.5 

28.1 

35 

125.2 

5o.6 

0 

180.8 

73.o 

55 

236.4 

95.5 

16 

i4.8 

06.0 

76 

7o.5 

28.5 

36 

I26.I 

5o.o 

96 

181.7 

73-4 

56 

237.4 

17 

i5.8 

06.4 

77 

71-4 

28.8 

37 

127.0 

5i.3 

97 

182.7 

73.8 

57 

238.3 

96.3 

18 

16.7 

06.7 

78 

72.3 

29.2 

38 

128.0 

5i.7 

98 

i83.6 

74-a 

58 

239.2 

96.6 

19 

17.6 

07.1 

79 

73.2 

29.6 

39 

128.9 

52.1 

99 

J84.5 

74.5 

59 

240.1 

97.0 

20 

i8.5 

07.5 

80 

74.2 

3o.o 

4o 

129.8 

52.4 

200 

i85.4 

74-9 

60 

241.1 

97-4 

21 

~io.5 

07.9 

81 

75.i 

3o.3 

i4i 

i3o.7 

52.8 

20J 

186.4 

75.3 

261 

242.0 

97.8 

22 

20^4 

08.2 

82 

76.0 

3o.7 

42 

i3i.7 

53.2 

02 

187.3 

75-7 

62 

242.9 

98.1 

23 

21.3 

08.6 

83 

77.0- 

43 

i3a.6 

53.6 

o3 

188.2 

76.o 

63 

243.8 

98.5 

24 

22.3 

09.0 

84 

77-9 

3i!5 

44 

i33.5 

53.0 

o4 

189.1 

76.4 

64 

344.8 

98.9 

25 

23.2 

09.4 

85 

78.8 

3i.8 

45 

i34.4 

54.3 

o5 

190.1 

76.8 

65 

245.7 

99.3 

26 

24.1 

09.7 

86 

79-7 

32.2 

46 

i35.4 

54.7 

06 

191  .0 

77-2 

66 

246.6 

99.6 

27 

25.0 

10.  1 

87 

80.7 

32.6 

47 

i36.3 

55.i 

07 

191.9 

77.5 

67 

247-6 

100.0 

28 

26.O 

io.5 

88 

81.6 

33.o 

48 

l37.2 

55.4 

08 

192.9 

77-9 

68 

248.5 

100.4 

29 

26.9 

10.9 

89 

82.5 

33.3 

49 

i38.2 

55.8 

09 

193.8 

78.3 

69 

249.4 

100.8 

3o 

27.8 

11  .2 

90 

83.4 

33.  7 

5o 

i39.i 

56.2 

10 

78.7 

70 

25o.3 

101.  1 

3i 

"28^7" 

11.6 

91 

84-4 

34.i 

i5i 

i4o.o 

56.6 

211 

195.6 

79.0 

271 

25i.3 

101.5 

32 

29.7 

12.0 

92 

85.3 

34.5 

52 

140.9 

56.  9 

12 

196.6 

79-4 

72 

252.2 

101.0 

33 

3o.6 

12.4 

93 

86.2 

34.8 

53 

i4i.o 

57.3 

i3 

197.5 

79.8 

73 

253.1 

102.3 

34 

3i.5 

12.7 

94 

87.2 

35.2 

54 

142.8 

57.7 

i4 

198.4 

80.2 

74 

254.0 

102.6 

35 

32.5 

88.1 

35.6 

55 

i43.7 

58.i 

i5 

199.3 

8o.5 

255.0 

io3.o 

36 

33.4 

13^5 

96 

89.0 

36.o 

56 

i44-6 

58.4 

16 

200.3 

80.9 

?6 

•.}55.O 

io3.4 

37 

34.3 

i3.9 

97 

89.9 

36.3 

57 

i45.6 

58.8 

17 

201  .2 

81.3 

77 

256.8 

io3.8 

38 

35.2 

14.2 

98 

90.9 

36.  7 

58 

i46.5 

59.2 

18 

2O2  .  1 

81.7 

7* 

257.8 

104.1 

39 

36.2 

14.6 

99 

91.8 

37.1 

59 

147.4 

59.6 

19 

203.1 

82.0 

79 

258.7 

io4.5 

4o 

37.i 

i5.o 

100 

92.7 

37.5 

60 

i48.3 

59.9 

20 

204.0 

82.4 

80 

259.6 

104.9 

4, 

38.o 

i5.4 

101 

93.6 

37.8 

161 

149.3 

6o.3 

221 

204.9 

82.8 

y¥t 

260.5 

io5.3 

4a 

38.9 

i5,7 

02 

94.6 

38.2 

62 

150.2 

60.7 

22 

205.8 

83.2 

te 

261.5 

i«5.6 

43 

39.9 

16.1 

o3 

95.5 

38.6 

63 

iSi.i 

61.1 

23 

206.8 

83.5 

83 

262.4 

106.0 

44 

4o.8 

i6.5 

o4 

96.4 

39.0 

64 

I52.I 

61.4 

24 

207.7 

83.9 

84 

263.3 

106.4 

45 

4i-7 

16.9 

o5 

97-4 

39.3 

65 

i53.o 

61.8 

25 

208.6 

84.3 

85 

264.2 

1  06.8 

46 

42.7 

17.2 

06 

98.3 

39.7 

66 

i53.9 

62.2 

26 

209.5 

84-7 

86 

265.2 

107.1 

47 

43.6 

17.6 

07 

99.2 

4o.i 

67 

i54.8 

62.6 

27 

210.5 

85.o 

87 

266.1 

107.5 

48 

.44.5 

18.0 

08 

IOO.I 

4o.5 

68 

i55.8 

62.9 

28 

211  .4 

85.4 

88 

267.0 

107.9 

49 

45.4 

18.4 

09 

IOI.I 

4o.8 

69 

i56.7 

63.3 

29 

212.3 

85.8 

89 

268.0 

io8.3 

5o 

46.4 

18.7 

IO 

102.0 

41.2 

7° 

i57.6 

63.7 

3o 

2.3.3 

86.2 

9° 

268.9 

108.6 

5i 

47-3 

i9.i 

III 

1O2  .9 

4i.6 

171 

i58.5 

64.i 

23  1 

214.9 

86.5 

291 

269.8 

109.0 

52 

48.2 

i9.5 

12 

io3.8 

42.0 

72 

169.5 

64.4 

32 

2l5.1 

86.9 

92 

270.7 

109.4 

53 

49-i 

i9.9 

i3 

104.8 

42.3 

73 

160.4 

64-8 

33 

2)6.  0 

87.3 

93 

271-7 

109.8 

54 

5o.i 

20.2 

i4 

io5.7 

42.  7 

74 

i6i.3 

65.2 

34 

217.0 

87.7 

94 

272.6 

1  JO.  I 

55 

5i.o 

20.  6 

i5 

106.6 

43.i 

75 

162.3 

65.6 

35 

217.9 

88.0 

95 

273.5 

i  io.5 

56 

5i.o 

21.0 

16 

107.6 

43.5 

76 

i63.2 

65.  9 

36 

218.8 

88.4 

96 

274.4 

1  1  0.0 

57 

52.8 

21.4 

17 

io8.5 

43.8 

77 

1  64.1 

66.3 

37 

219.7 

88.8 

97 

275.4 

in.3 

58 

53.8 

21.7 

18 

109.4 

44.2 

78 

i65.o 

66.7 

38 

22.0.7 

89.2 

98 

276.3 

1  1  1.6 

59 

54-7 

22.1 

10 

110.3 

44.6 

79 

166.0 

67.1 

39 

221  .6 

89.5 

99 

277.2 

112.0 

60 

55,6 

22.5 

20 

in.  3 

45.o 

80 

166.9 

67.4 

4o 

222.5 

89.9 

3oo 

278.2 

112.4 

Dist.    De_>.  |   Lat. 

DisT 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  68  Degrees. 

TABLE    II.                                                              [Pa«e33 

Difference  of  Latitude  and  Departure  for  23  Degrees. 

Disi. 

Lat. 

Dep. 

)ist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat: 

Dep. 

i 

00.0 

00.4 

61 

56.2 

23.8 

121 

ii.  4 

47-3 

181 

166.6 

70.7 

24  1 

221.8 

94.2 

2 

01.8 

00.8 

62 

57.  i 

24.2 

22 

12.3 

47-7 

82 

167.5 

71.1 

42 

222.8 

94-6 

3 

02.8 

01  .2 

63 

58.o 

24.6 

23 

13.2 

48.i 

83 

i68.5 

71.5 

43 

223.7 

94-9 

4 

o3.7 

01.6 

64 

58.9 

25.0 

24 

14.1 

48.5 

84 

169.4 

44 

224.6 

95.^ 

5 

04.6 

O2.  0 

65 

59.8 

25.4 

25 

i5.  i 

48.8 

85 

170.3 

72.3 

45 

225.5 

6 

o5.5 

02.3 

66 

60.8 

25.8 

26 

16.0 

49  2 

86 

171.2 

72.7 

46 

226.4 

96  i 

7 

06.4 

02.7 

67 

61.7 

26.2 

27 

16.9 

49-6 

87 

172.1 

73.i 

47 

227.4 

96.5 

8 

07.4 

o3.i 

68 

62.6 

26.6 

28 

117.8 

5o.o 

88 

i73.i 

73.5 

48 

228.3 

96.9 

9 

o8.3 

o3.5 

69 

63.5 

27.0 

29 

18.7 

5o.4 

89 

i74.o 

73.8 

49 

229.2 

97-3 

10 

09.2 

o3.9 

70 

64.4 

27.4 

3o 

119.7 

5o.8 

90 

174.  9 

74.2 

5o 

230.  I 

97-7 

ii 

10.  I 

o4.3 

ji 

65.4 

27.7 

i3i 

120.6 

5l.2 

191 

175.8 

74-6 

25l 

2-3  I  .0 

98.5 

12 

II  .0 

04.7 

72 

66.3 

28.1 

32 

121.  5 

5i.6 

92 

176.7 

75.o 

52 

232.0 

98.5 

i3 

12.0 

o5.i 

73 

67.2 

28.5 

33 

122.4 

52.0 

93 

177-7 

?5.4 

53 

232  .9 

98.9 

i4 

12.9 

o5.5 

74 

68.1 

28.9 

34 

123.3 

52.4 

94 

178.6 

75.8 

54 

233.8 

99.2 

i5 

i3.8 

o5.9 

75 

69.0 

29.3 

35 

124.3 

52.7 

95 

179.5 

76.2 

55 

234-7 

99.6 

16 

i4.7 

o6.3 

76 

70.0 

29.7 

36 

125.2 

53.i 

96 

180.4 

76.6 

56 

235.6 

100.0 

17 

i5.6 

06.6 

77 

70.9 

3o.i 

37 

126.  1 

53.5 

97 

i8i.3 

77.0 

57 

236.6 

100.4 

18 

16.6 

07.0 

78 

71.8 

3o.5 

38 

127.0 

53.9 

98 

182.3 

77-4 

58 

237.5 

100.8 

19 

17-5 

07.4 

79 

72.7 

30.9 

39 

128.0 

54.3 

99 

i83.2 

77-8 

59 

238.4 

101.2 

20 

18.4 

07.8 

80 

73.6 

3i.3 

4o 

128.9 

54-7 

200 

184.1 

78.1 

60 

239.3 

1  01.  6 

21 

.9-3 

08.2 

81 

74.6 

3i.6 

i4i 

129.8 

55.i 

201 

i85.o 

78.5 

261 

24o.3 

IO2.O 

22 

20.3 

08.6 

82 

75.5 

32.0 

42 

i3o.7 

55.5 

O2 

185.9 

78-9 

62 

24  1  .2 

102.4 

23 

24 

21  .2 
22.1 

09.0 
09.4 

83 
84 

76.4 
77.3 

32.4 
32.8 

43 

44 

i3i.6 
i32.6 

55.9 
56.3 

o3 

o4 

186.9 
187.8 

79-3 
79-7 

63 

64 

242.1 
243.0 

1O2.8 
103.2 

25 

'j3    O 

09.8 

85 

78.2 

33.2 

45 

i33.5 

56.7 

o5 

188.7 

80.  i 

65 

243.  9 

io3.5 

20 

23.9 

10.2 

86 

79-2 

33.6 

46 

i34-4 

57.o 

06 

189.6 

8o.5 

66 

244-9 

103.9 

27 

24.9 

io.5 

87 

80.  i 

34.o 

47 

i35.3 

57-4 

07 

,9o.5 

80.9 

67 

245.8 

io4-3 

28 

25.8 

10.9 

88 

81.0 

34-4 

48 

i36.2 

57.8 

08 

i9,.5 

8i.3 

68 

246.7 

104.7 

29 

26.7 

ii  .3 

89 

81  .9 

34.8 

49 

l37.2 

58.2 

09 

192.4 

81.7 

69 

24-7.6 

io5.i 

3o 

27.6 

11.7 

9° 

82.8 

35.2 

5o 

i38.i 

58.6 

10 

i93.3 

82.1 

70 

248.5 

io5.5 

3i 

28  5 

12  .  I 

91 

83.8 

35.6 

i5i 

i39.o 

5o  o 

211 

194.2 

82.4 

271 

249.5 

io5.o 

3a 

90.5 

12.5 

84.7 

35.9 

52 

i39.9 

59.4 

12 

i95  i 

82.8 

72 

25o.4 

i  o6.3 

33 

S^ 

12  .9 

93 

85.6 

36.3 

53 

i4o.8 

59.8 

13 

196.1 

83.2 

73 

25i.3 

106.7 

34 

3i.3 

t3.3 

86.5 

36.7 

54 

i4i.8 

60.  2 

i4 

197.0 

83.6 

74 

252.2 

107.1 

35 

3?  ? 

i3.7 

95 

87.4 

37.1 

55 

142.7 

60.6 

i5 

197.9 

84.0 

75 

253.1 

107.5 

36 

33   i 

96 

88.4 

37.5 

56 

M3.6 

61  .0 

16 

198.8 

84-4 

76 

254.1 

107.8 

37 

34.i 

i4-5 

97 

89.3 

37-9 

57 

i44.5 

6i.3 

17 

199.7 

84.8 

77 

255.0 

108.2 

38 

35.o 

14.8 

98 

90.2 

38.3 

58 

i45.4 

61.7 

18 

200.7 

85.2 

78 

255.9 

1  08.  6 

39 

35.o 

15.2 

99 

91  .1 

38.7 

59 

i46.4 

62.1 

19 

201  .6 

85.6 

79 

256.8 

109.0 

4o 

36.8 

i5.6 

100 

92.1 

39.i 

60 

147-3 

62.5 

20 

202.5 

86.0 

80 

257-7 

109.4 

4i 
42 
43 

37.7 
38.7 
3o  6 

16.0 
16.4 
16.8 

101 

02 

o3 

93.o 
93.9 
94.8 

39.5 
39.9 
40.2 

161 
62 
63 

148.2 
149.1 
i5o.o 

62  .y 
63.3 
63.7 

221 
22 
23 

203.^ 

204.^ 
2o5.3 

86.4 
86.7 
87.1 

281 
82 
83 

258.7 
259.6 
26o.5 

109.8 

I  10.2 

1  1  0.6 

44 

4o.5 

17.2 

04 

95.7 

4o.6 

64 

i5i  .0 

64.i 

24 

206.  y 

87.5 

84 

261.4 

1II.O 

45 

41.4 

17.6 

o5 

96.7 

4i.o 

65 

i5i  .9 

64-5 

25 

207.  i 

87.9 

85 

262.3 

1  1  1.  4 

46 

42  .3 

18.0 

06 

07.6 

4i.4 

66 

i52.8 

64-9 

26 

208.0 

88.3 

8b 

263.3 

111.7 

47 

43  3 

18  4 

07 

08.5 

4i.8 

67 

i53.7 

65.3 

27 

209.0 

88.7 

87 

264.2 

112.  1 

48 

i9 

5o 

44.2 
45.i 
46.o 

18.8 
19.  i 
i9.5 

08 
09 

10 

99.4 
ioo.: 
101  .3 

42.2 
42.6 
43.o 

68 
69 

70 

1  54-  6 
i55.6 
i56.5 

65.6 
66.0 
66.4 

28 
29 

3o 

209.9 

2IO.C 
211.7 

89.1 
89.5 
89.9 

88 
89 
9° 

265  .  i 
266.0 
266.9 

112.  5 

112.9 
n3.3 

5i 

52 

53 
54 
55 

46.0 

47-9 
48.8 

49.7 
5o.6 

i9.9 

20.3 

20.7 

21  .1 
21.5 

1  1  1 

12 

i3 
i4 
i5 

102.2 

io3.i 

104.0 
104.9 
105.9 

43.4 
43.8 
44.2 
44.5 
44.9 

171 
72 
73 
74 
75 

157.4 
i58.3 
159.2 
160.2 
161  .1 

66.8 
67.2 
67.6 
68.0 
68.4 

23l 
32 

33 
34 
35 

212.6 

2i3.6 
2i4-5 
2i5.4 
2i6.3 

90.3 
90.6 
91.0 
91.4 
9..  8 

291 

93 

267  .9 
268.8 
269.7 
270.6 
271.5 

n4-i 
ii4-5 
1  14.9 
ii  5.3 

56 

58 

59 

60 

5i.5 
52.5 

53.4 
54.3 
55.2 

21.0 
22.3 

22.7 
23.1 

23.4 

16 
17 
18 

T9 

20 

1  06.  8 
107.7 
1  08  .6 
109.5 
i  io.5 

45.3 
45.7 
46.i 
46.5 
46.9 

76 

78 

79 
8< 

162.0 
162.9 

163.8 
164.8 
1  65.  7 

68.8 
69.2 
69.6 
69.9 
70.3 

36 
37 
38 

39 

217.2 
218.2 
219.1 

22O.O 

22O-9 

92.2 

$.0 

93.4 
93.8 

90 

97 
98 

o" 

3oo 

272  .5 
273.4 
274.3 

275.2 
276.2 

M6.o 
116.4 
1  1  6.8 
117.2 

Dist. 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Disl 

Dep. 

Lat. 

Dis 

Dep. 

Lai 

Dist 

Dep. 

Lat. 

[For  07  Degrees. 

Page  40]                                                                    TABLE    II. 

Difference  of  Latitude  and  Departure  for  24  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

00.9 

00.4 

6l 

55.7 

'24.8 

121 

no.  5 

49.2 

181 

i65.4 

73.6 

24  1 

220.2 

98.0 

2 

01.8 

00.8 

62 

56.6 

25.2 

22 

in.  5 

49.6 

82 

i66.3 

74.0 

42 

221  .1 

98.4 

3 

02  .7 

OI  .2 

63 

57.6 

25.6 

23 

112.4 

5o.o 

83 

167.2 

74-4 

43 

222.0 

98.8 

4 

03.7 

oi  .6 

64 

58.5 

26.0 

?-4 

n3.3 

5o.4 

84 

168.1 

74-8 

44 

222.9 

99.2 

o4-6 

C2.0 

65 

59.4 

26.4 

25 

r  i4-2 

5o.8 

85 

169.0 

75.2 

45 

223.8 

99-7 

6 

o5.5 

02.4 

66 

6o.3 

26.8 

26 

u5.i 

5l.2 

86 

169.9 

75-7 

-46 

2-24.7 

1  00.  1 

06.4 

02.8 

67 

61.2 

27.3 

27 

1  16.0 

5i.7 

87 

170.8 

76.1 

47 

22D.6 

100.5 

8 

o7.3 

o3.3 

68 

62.1 

27.7 

28 

116.9 

52.1 

88 

171.7 

76.5 

48 

226.6 

100.9 

9 

08.2 

o3.7 

69 

63.o 

28.1 

29 

117.8 

52.5 

89 

172.7 

76.9 

49!  227.5 

ioi.3 

10 

09.1 

04.  i 

70 

63-9 

28.5 

3o 

118.8 

52.9 

9° 

173.6 

77.3 

5o 

228.4 

101.7 

1  1 

10.  0 

o4.5 

71 

64.9 

28.9 

i3i 

119.7 

53.3 

191 

174.5 

77-7 

25  1 

229.3 

102.  1 

12 

I  I  .0 

04.9 

72 

65.8 

29.3 

32 

120.6 

53.7 

92 

175.4 

78.1 

62 

230.2 

102.5 

i3 

II  .9 

o5.3 

73 

66.7 

29.7 

33 

121  .5 

54.1 

93 

176.3 

78.5 

53 

23l.I 

102.9 

i4 

12.8 

o5.7 

74 

67.6 

3o.i 

34 

122.4 

54.5 

94 

177.2 

78-9 

54 

232.0 

io3.3 

i5 

.3.7 

06.1 

75 

68.5 

3o.5 

35 

123.3 

54.o 

95 

178.1 

79.3 

55 

233.0 

103.7 

16 

14.6 

o6.5 

76 

69.4 

3o.9 

36 

124.2 

55.3 

96 

179.1 

79-7 

56 

2.33.9 

io4-i 

T7 

i5.5 

06.9 

77 

70.3 

3i.3 

37 

125.2 

55.  7 

97 

186.0 

80.  i 

57 

234.8 

io4-5 

18 

16.4 

07.3 

78 

7i.3 

3i.7 

38 

I26.I 

56.i 

98 

180.9 

8o.5 

58 

235.7 

104.9 

19 

17-4 

07.7 

79 

72.2 

32.1 

39 

127.0 

56.5 

99 

181.8 

80.9 

59 

236.6 

io5.3 

20 

i8.3 

08.  i 

80 

73.i 

32.5 

4o 

127.9 

56.  9 

200 

182.7 

8i.3 

60 

237.5 

io5.8 

21 

19.2 

o8.5 

81 

74.o 

32.9 

i4i 

128.8 

57.3 

201 

i83.6 

81.8 

261 

2.38.4 

106.2 

22 

20.  I 

08.9 

82 

74-9 

33.4 

42 

129.7 

57.8 

O2 

1  84.5 

82.2 

62 

239.3 

106.6 

23 

21  .0 

09.4 

83 

75.8 

33.8 

43 

i3o.6 

58.2 

03 

i85.4 

82.6 

63 

24o.3 

107.0 

24 

21  .9 

09.8 

84 

76.7 

34.2 

44 

i3i.6 

58.6 

o4 

!86.4 

83.o 

64 

24l  .2 

107.4 

25 

22.8 

10.2 

85 

77-7 

34.6 

45 

i32.5 

59.0 

o5 

187.3 

83.4 

65 

242.1 

107.8 

26 

23.8 

10.6 

86 

78.6 

35.o 

46 

i33.4 

59.4 

06 

188.2 

83.8 

66 

243.0 

108.2 

27 

24.7 

II  .0 

87 

79-5 

35.4 

47 

i34.3 

59.8 

07 

189.1 

84.2 

67 

243.9 

108.6 

28 

25.6 

11.  4 

88 

80.4 

35.8 

48 

i35.2 

60.2 

08 

190.0 

84.6 

68 

244.8 

109.0 

29 

26.5 

ii.  8 

89 

8i.3 

36.2 

49 

i36.i 

60.6 

09 

190.9 

85.o 

69 

245.7 

109.4 

3o 

27.4 

12.2 

00 

82.2 

36.6 

5o 

137.0 

61  .0 

10 

191  .8 

85.4 

70 

246.7 

109.8 

3i 

28.3 

12.6 

91 

83.i 

37.o 

i5i 

137.9 

61.4 

211 

192.8 

85.8 

271 

247-6 

II0.2 

3; 

29.2 

i3.o 

92 

84.0 

37-4 

52 

i38.9 

61.8 

12 

193.7 

86.2 

73 

248.5 

no.  6 

3J 

3o.i 

i3.4 

93 

85.o 

37.8 

53 

139.8 

62.2 

i3 

194.6 

86.6 

73 

249.4 

III.O 

34 

3i.i 

i3.8 

94 

85.9 

38.2 

54 

140.7 

62.6 

i4 

io5.5 

87.0 

74 

25o.3 

111.4 

35 

32.0 

14.2 

95 

86.8 

38.6 

55 

i4i.6 

63.o 

i5 

196.4 

87.4 

75 

25l  .2 

in  9 

36 

32.9 

14.6 

96 

87.7 

39.o 

56 

i42.5 

63.5 

16 

197.3 

87.9 

76 

252.1 

II7.3 

37 

33.8 

i5.o 

97 

88.6 

39.5 

57 

i43.4 

63.9 

17 

198.2 

88.3 

77 

253.1 

112.7 

38 

34.7 

i5.5 

98 

89.5 

39.9 

58 

i44.3 

64.3 

18 

199.2 

88.7 

78    254.0 

ii3.i 

39 

35.6 

i5.9 

99 

90.4 

4o.3 

59 

i45.3 

64-7 

*9 

200.1 

89.  i 

79 

254.9 

n3.5 

4o 

36.5 

i6.3 

IOO 

91.4 

40.7 

60 

i46.2 

65.i 

20 

201  .0 

89.5 

80 

255.8 

1  13.9 

4i 

37.5 

16.7 

101 

92.3 

4i.i 

161 

147-1 

65.5 

221 

201  ,9 

89.9 

281 

256.7 

u4.3 

42 

38.4 

17.1 

02 

93.2 

4i.5 

62 

148.0 

65.9 

22 

202.8 

9o.3 

82 

257.6 

114.7 

43 

39.3 

i7.5 

o3 

94.1 

41.9 

63 

148.9 

66.3 

23 

203.7 

oo  .7 

83 

258.5 

ii5.i 

44 

40.2 

17.9 

o4 

95.0 

42.3 

64 

149.8 

66.7 

24 

204.6 

01.  1 

84 

259.4 

n5.5 

45 

4i.i 

i8.3 

o5 

95.9 

42.7 

65 

i5o.7 

67.1 

25 

2o5.5 

9i.5 

85 

260.4 

n5.9 

46 

42.0 

18.7 

06 

96.8 

43.i 

66 

i5i.6 

67.5 

26 

206.5 

91.9 

86 

261.3 

ii6.3 

4v 

42.9 

19.1 

07 

97-7 

43.5 

67 

i5a.6 

67.9 

27 

207.4 

92.3 

87 

262.2 

116.7 

48 

43-9 

I9.5 

08 

98.7 

43.9 

68 

i53.5 

68.3 

28 

208.3 

92.7 

88 

263.1 

117.1 

49 

44.8 

19.9 

09 

99.6 

44.3 

69 

i54.4 

68.7 

29 

2O9.2 

93., 

89 

264.0 

ii7.5 

5o 

45.7 

20.3 

IO 

ioo.5 

44-7 

70 

i55.3 

69.1 

3o 

210.  I 

93.5 

9° 

264.9 

118.0 

5i 

46.6 

20.7 

III 

101  .4 

45.i 

171 

i56.2 

69.6 

23l 

21  1  .0 

94.0 

291 

265.8 

118.4 

52 

47  5 

21  .2 

12 

102.3 

45.6 

72 

.57.i 

70.0 

32 

211  .9 

94-4 

92 

266.8 

118.8 

53 

48.4 

21.6 

i3 

103.2 

46.o 

73 

i58.o 

70.4 

33 

212.9 

94.8 

93 

267.7 

1  19.2 

54 

49-3 

22.0 

1  4 

104.1 

46.4 

74 

i59.-o 

70.8 

34 

2i3.8 

95.2 

94 

268.6 

1  19.6 

55 

60.2 

22.4 

i5 

io5.i 

46.8 

75 

159.9 

71.2 

35 

214.7 

95.6 

95 

269.5 

I2O.O 

56 

5l.2 

22.8 

16 

106.0 

47-2 

76 

160.8 

71.6 

36 

2i5.6 

96.0 

96 

270.4 

120.4 

57* 

52.  ( 

23.2 

17 

106.9 

47-6 

77 

161  .7 

72.0 

37 

216.  5 

96.4 

97 

271  .3 

120.8 

58 

53.o 

23.6 

18 

107.8 

48.o 

78 

162.6 

72.4 

38 

217.4 

96.8 

98 

272.2 

121.  2 

59 

53.9 

24.0 

'9 

108.7 

48.4 

79 

1  63.  5 

72.8 

39 

2I&.3 

97.2 

99 

273.2 

1  2  1.  6 

60 

54.8 

24.4 

20 

109.6 

48.8 

80 

164.4 

73.2 

4o 

219.3 

97.6 

3oo 

274.1 

122.0 

Dbt. 

Dcp. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep.  i   Lat. 

[For  66  Degrees. 

TABLE    II.                                                                [Page  41 

Difference  of  Latitude  arid  Departure  for  25  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

00.9 

00.4 

61 

55.3 

25.8 

121 

109.7 

5i  .  i 

181 

164.0 

76.5 

24  1 

218.4 

IOI.O 

2 

DI.fi 

00.8 

62 

56.2 

26.2 

22 

no.  6 

5i,6 

82 

164.9 

76.9 

42 

219.3 

102.3 

3 

02.  7 

oi.3 

63 

57.i 

26.6 

23 

in.  5 

52.0 

83 

i65.9 

77-3 

43 

220.2 

102.7 

4 

o3.6 

01.  7 

64 

58.o 

2-7.0 

24 

112.  4 

52.4 

84 

1  66.8 

77.8 

44 

221.  1 

io3.i 

5 

o4.5 

02.  I 

65 

58.  9 

27.  5 

25 

n3.3 

52.8 

85 

167.7 

78.2 

45 

222.0 

io3.5 

6 

o5.4 

02.5 

66 

59.8 

27.9 

26 

Il4-2. 

53.2 

86 

168.6 

78.6 

46 

223.0 

104.0 

7 

o6.3 

o3.o 

67 

60.7 

28.3 

27 

iiS.i 

53.7 

87 

169.5 

79.o 

47 

223.9 

104.4 

8 

o7.3 

o3.4 

68 

61.6 

28.7 

28 

1  16.0 

54.i 

88 

170.4 

79-5 

48 

224.8 

104.8 

9 

08  .  2 

o3.8 

69 

62.5 

29.2 

29 

116.9 

54.5 

89 

i7i.3 

79-9 

49 

225.7 

105.2 

IO 

09.  1 

04.2 

70 

63.4 

29.6 

3o 

117.8 

54-9 

9° 

172.2 

8o.3 

5o 

226.6 

io5.7 

1  1 

IO.O 

04.6 

71 

64.3 

3o.o 

i3i 

118.7 

55.4 

191 

i73.i 

80.7 

25l 

227-5 

1  06.  i 

ra 

10.9 

o5.i 

72 

65.3 

3o.4 

32 

119.6 

55.8 

92 

i74.o 

81.1 

52 

228.4 

i  o6.5 

1  3 

ii.  8 

o5.5 

73 

66.2 

3o.9 

33 

120.5 

56.2 

93 

174-9 

81.6 

53 

229.3 

106.9 

i4 

12.7 

05.9 

74 

67.1 

3i.3 

34 

121  .4 

56.6 

94 

175.8 

82.0 

54 

230.2 

107.3 

i3,6 

o6.3 

75 

68.0 

3i.7 

35 

122.4 

57'.i 

95 

176.7 

82.4 

55 

23l.I 

107.8 

16 

i4.5 

06.8 

76 

68.9 

32.1 

36 

123.3 

57.5 

96 

177.6 

82.8 

56 

232.0 

108.2 

17 

1.5.4 

07.2 

77 

69.8 

32.5 

37 

124.2 

57-9 

97 

178.5 

83.3 

57 

2.32.9 

1  08  .6 

18 

i6.3 

07.6 

78 

70.7 

33.o 

38 

125.  I 

58.3 

98 

179.4 

83.7 

58 

233.8 

109.0 

19 

17.2 

08.0 

79 

71.6 

33.4 

39 

126.0 

58.7 

99 

180.4 

84.1 

59 

234.7 

109.5 

20 

18.1 

o8.5 

80 

72.5 

33.8 

4o 

126.9 

59.2 

200 

i8i.3 

84.5 

60 

235.6 

109.9 

21 

IO.O 

08.9 

81 

73.4 

34.2 

i4i 

127.8 

59.6 

201 

182.2 

84-9 

261 

236.5 

i  io.3 

22 

IO.O 

09.3 

82 

74.3 

34-  7 

42 

128.7 

60.0 

O2 

i83.i 

85.4 

62 

237.5 

110.7 

23 

20.8 

°9-7 

83 

75.2 

35.i 

43 

129.6 

60.4 

o3 

184.0 

85.8 

63 

238.4 

in.  i 

24 

21.8 

10.  I 

84 

76.1 

35.5 

44 

i3o.5 

60.9 

o4 

184.9 

86.2 

64 

239.3 

1  1  1.  6 

25 

22  .  7 

10.6 

85 

77.0 

35.9 

45 

i3i.4 

6i.3 

o5 

i85.8 

86.6 

65 

240.2 

112.0 

76 

23.6 

ii  .0 

86 

77-9 

36.3 

46 

i3a.3 

61.7 

06 

186.7 

87.1 

66 

241.1 

II2.4 

27 

24.5 

ii.  4 

87 

78.8 

36.8 

47 

i33.2 

62.1 

07 

187.6 

87.5 

67 

U42.0 

I  I  2.8 

28 

25.4 

u.  8 

88 

79.8 

37.2 

48 

i34.i 

62.5 

08 

i88.5 

87-9 

68 

242-9 

it3.3 

29 

26,3 

12.3 

89 

80.7 

37.6 

49 

i35.o 

63.o 

09 

189.4 

88.3 

69 

243.8 

ii3.7 

3o 

27.2 

12.7 

90 

81.6 

38.o 

5o 

135.9 

63.4 

10 

190.3 

88.7 

70 

244.7 

i  i4-i 

3i 

28  i 

i3  i 

QI 

82.5 

38.5 

i5i 

i36.9 

63.8 

211 

191.2 

89.2 

271 

245.6 

u4-5 

32 

33 

29.0 

i3.5 

l3    Q 

92 
93 

83.4 
84.3 

38.9 
39.3 

52 

53 

137.8 
i38.7 

64-2 
64-7 

12 
13 

I92.I 

i93.o 

89.6 
9o.o 

72 
73 

246.5 
247.4 

1  1  5.o 
ii  5.4 

34 

3o  8 

i4-4 

94 

85.2 

39-7 

54 

139.6 

65.i 

i4 

193.9 

00.4 

74 

248.3 

1  1  5.8 

35 

31.7 

i4-8 

86  i 

4o.i 

55 

i4o.5 

65.5 

i5 

194.9 

90.9 

75 

249.2 

116.2 

36 

3?  6 

1  5.  a 

96 

87.0 

4o.6 

56 

i4i-4 

65.9 

16 

i95.8 

91.3 

76 

aSo.i 

1  16.6 

37 
38 

33.5 

34.4 

i5.6 
16.1 

97 
08 

87-9 
88.8 

4i  .0 
4i-4 

57 
58 

i42.3 
i43.2 

66.4 
66.8 

17 
18 

190.7 
19-7.6 

91.7 
92.1 

77 
78 

25  1.  0 
252.0 

I  I  "7.  1 
II7-5 

39 

4o 

35.3 
36.3 

i6.5 
i6.9 

99 

IOO 

89.7 
90.6 

4i.8 
42.3 

59 
60 

i44.i 
i45.o 

67.2 
67.6 

'9 
20 

198.5 
199-4 

92.6 

93.0 

79 
80 

252-9 

253.8 

u7-9 
ii8.3 

4i 

37.2 

17.3 

IOI 

91.5 

42.7 

161 

145.9 

68.0 

221 

200.3 

93.4 

281 

254-7 

118.8 

42 

38.i 

17.7 

02 

92.4 

43.i 

62 

146.8 

68.5 

22 

201.2 

93.8 

82 

255.6 

119.2 

43 
44 
45 

39.0 
39.9 
4o.8 

18.2 
18.6 

I9.0 

o3 
o4 
o5 

93.3 
94-3 

43.5 
44.o 
44-4 

63 
64 
65 

147.7 
148.6 
149.5 

68.9 
69.3 
69.7 

23 
24 
25 

202.1 
203.0 
203.O 

94.2 
94-7 
95-1 

83 
84 
85 

256.5 
257.4 
258.3 

119.6 

I2O.O 

120.4 

46 
47 
48 

4i-7 
42.6 
43.5 

i9.4 
i9.9 
20.  3 

06 

07 

08 

96.1 
97.0 
97.9 

44-8 
45.2 
45.6 

66 
67 
68 

i5o.4 
i5i.4 
i5a.3 

70.2 
70.6 
71.0 

26 

27 

28 

204.8 
205.7 

206.6 

95.b 
95.9 
96.4 

86 
87 
88 

259.2 
260.  i 
261.0 

120.0 
I  2  1.  3 
I21.7 

49 
5o 

44.4 
45.3 

20.7 

21  .  I 

09 

IO 

98.8 
99-7 

46.i 
46.5 

69 
70 

i53.2 
i54.i 

71-4 
71.8 

3o 

2O7.5 

208.5 

96.8 
97.2 

89 
90 

261.9 
262.8 

122.  1 
122.6 

5i 

52 

53 
54 
55 
56 

57 
58 

59 
60 

46.2 

47.1 

48.o 
48.9 
49.8 
5o.8 
5i.7 
52.6 
53.5 
54-4 

21.6 
22.0 
22.4 
22.8 
23.2 

23.7 
24.1 
24.5 
24.  9 
25.4 

III 

12 

i3 
i4 

i5 
16 

17 
18 

20 

100.6 
ior.5 

102U 

io3.3 
104.2 
io5.i 
1  06.0 
106.9 
107.9 
108.8 

46.9 
47-3 
47.8 
48.2 
48.6 
49.0 
49.4 
49.9 
5o.3 
5o.7 

171 
72 
73 
74 
75 
76 

3 

B 

i55.o 
i55.9 
i56.8 

i57.7 

i58.6 
159.5 
160.4 
i6i.3 
162.2 
i63.i 

72.3 
72.7 
73.i 
73.5 
74.o 
74-4 
74.8 

75.2 

75.6 
•76.1 

23l 
32 

33 
34 
35 
36 
37 
38 

209.<i 
2IO.3 
211.  2 
212.  1 
2  1  3.0 
2l3.9 
214-8 
2l5.7 

2  1  6.6 

2I7.5 

97.6 
98.0 
98.5 
98.9 
99.3 
99-7 

100.2 

100.6 

IOI.O 

101.4 

291 

932 

94 

i 

99 
3oo 

263.7 
264.6 
265.5 
266.5 
267.4 
268.3 
269.2 
270.1 
271.0 

I23.O 
123.4 

123.8 
124.2 

124.7 

I25.I 

125.5 
125.9 
126.4 
126.8 

ri~ 

Den. 

Lat. 

Dist. 

Dep. 

I  at. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  65  Degrees. 

Page  421                                                                  TABLE     II. 

Difference  of  Latitude  and  Departure  for  26  Degrees. 

Disc. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

00.9 

oo.4 

6! 

54.8 

26.7 

121 

1  68.8 

53.o 

TsT 

162.  7 

79-3 

241 

216.6 

7^5.6" 

2 

01.8 

00.9 

62 

55.7 

27.2 

22 

109.7 

53.5 

82 

1  63.6 

79.8 

42 

2I7.5 

1  06.  i 

3 

O'Jt.J 

01  .3 

63 

56.6 

27.6 

23 

no.  6 

53.9 

83 

i64-5 

80.2 

43 

218.4 

io6.5 

4 

o3.6 

01.8 

64 

57.5 

28.1 

24 

in.  5 

54.4 

84 

1  65.4 

80.7 

44 

2IQ.3 

107.0 

5 

o4.5 

02.2 

65 

58.4 

28.5 

25 

112.  3 

54.8 

85 

1  66.3 

81.1 

45 

220.2 

107.4 

6 

c>5.4 

02    6 

66 

59.3 

28.9 

26 

II3.2 

55.2 

86 

167.2 

8i.5 

46 

221.1 

107.8 

7 

o6.3 

o3.i 

67 

60.2 

29.4 

27 

114.1 

55.7 

87 

168.1 

82.0 

47 

222.0 

io8.3 

8 

07.2 

o3.5 

68 

61.1 

29.8 

28 

u5.o 

56.i 

88 

169.0 

82.4 

48 

222.9 

I  08.  -7 

9 

08.  i 

03.9 

69 

62.0 

30.2 

29 

115.9 

56.5 

89 

169.9 

82.9 

49 

223.8 

IO9.2 

10 

09.0 

o4-4 

70 

62.9 

3o.7 

3o 

116.8 

57.o 

90 

170.8 

83.3 

5o 

224.7 

io9.6 

II     OQ  .  Q 

04.8 

7» 

63.8 

3i.i 

i3i 

117.7 

57.4 

191 

171.7 

83.7 

25l 

225.6 

I  1  0.0 

12 

16.8 

o5.3 

72 

64-7 

3i.6 

32 

118.6 

57.9 

02 

172.6 

84.2 

52 

226.5 

1  10.5 

i3 

11.7 

o5.7 

73 

65.6 

32.0 

33 

119.5 

58.3 

93 

i73.5 

84.6 

53 

227.4 

I  I0.9 

t4 

12.6 

06.  i 

74 

66.5 

32.4 

34 

120.4 

58.7 

94 

174-4 

85.o 

54 

228.3 

1  1  1.3 

i5 

i3.5 

06.6 

75 

67.4 

32.9 

35- 

121  .3 

59.2 

95 

i75.3 

85.5 

55 

229.2 

Hi.  8 

16 

i4.4 

07.0 

76 

68.3 

33.3 

36 

122.2 

59.6 

96 

176.2 

85.9 

56 

230.1 

I  12.  2 

17 

i5.3 

o7.5 

77 

69.2 

33.8 

37 

123.  I 

60.  i 

97 

177.1 

86.4 

57 

23l.O 

112.7 

18 

16.2 

07.9 

78 

70.1 

34.2 

38 

124.0 

6o.5 

98 

178.0 

86.8 

58 

23l.9 

ii3.i 

19 

17.1 

08  J 

79 

71.0 

34.6 

39 

124.9 

60.9 

99 

178.0 

87.2 

59 

232.8 

n3.5 

20 

18.0 

08.8 

80 

71.9 

35.i 

4o 

125.8 

61.4 

200 

179.8 

87.7 

60 

233.7 

i  i4«o 

21 

18.9 

09.2 

81 

72.8 

35.5 

i4i 

126.7 

61.8 

201 

180.7 

88.1 

261 

234.6 

n4.4 

22 

19.8 

09.6 

82 

73-7 

35.9 

42 

127.6 

62.2 

O2 

181.6 

88.6 

62 

235.5 

114.9 

23 

20.7 

10.  I 

83 

74.6 

36.4 

43 

128.5 

62.7 

03 

182.5 

89.0 

63 

236.4 

n53 

24 

21.6 

io.5 

84 

75.5 

36.8 

44 

129.4 

63.i 

04 

i83.4 

89.4 

64 

237.3 

ii  5.7 

25 

22.5 

ii  .0 

85 

76.4 

37.3 

45 

i3o.3 

63.6 

o5 

i84.3 

89.9 

65 

238.2 

116.2 

26 

23.4 

11.4 

86 

77.3 

37.7 

46 

l3l.2 

64.0 

06 

i85.2 

9oJ 

66 

239.I 

1  1  6.6 

27 

24.3 

ii.  8 

87 

78.2 

38.i 

47 

I32.I 

64-4 

07 

186.1 

90.7 

67 

240.0 

117.0 

26 

25.2 

12.3 

88 

79.1 

38.6 

48 

i33.o 

64.9 

08 

186.9 

91.2 

68 

240.9 

ii7.5 

29 

26.1 

12.7 

89 

80.0 

39.0 

49 

i33.9 

.65.3 

09 

187.8 

91.6 

69 

241.8 

117-9 

3o 

27.0 

13.2 

90 

80.9 

39.5 

5o 

E.34.8 

65.8 

10 

188.7 

92.1 

70 

242.7 

118.4 

3i 

27.9 

i3.6 

91 

8i-.8 

39.o 

161 

i35.7 

66.2 

211 

189.6 

92.5 

271 

243.6 

118.8 

32 

28.8 

i4.o 

92 

82.7 

4o.3 

52 

i36.6 

66.6 

12 

190.5 

92-9 

72 

244-5 

119.2 

33 

29.7 

i4.5 

93 

83.6 

4o.8 

53 

i37.5 

67.1 

i3 

191.4 

93.4 

73 

245.4 

119.7 

34 

3o.6 

14.9 

94 

84.5 

41.2 

54 

1  38.4 

67.5 

i4 

192.3 

93.8 

74 

246.3 

I20.I 

35 

3i.5 

i5*3 

0 

85.4 

4i.6 

55 

i39.3 

67.9 

i5 

193.2 

94-2 

75 

247.2 

120.6 

36 

32.4 

i5.8 

96 

86.3 

4?.  i 

56 

140.2 

68.4 

16 

194.1 

94.7 

76 

248.1 

I  21.0 

37 

33.3 

16.2 

97 

87.2 

42.5 

57 

i4i  .1 

68.8 

17 

195.0 

95.1 

77 

249.0 

I2I.4 

38 

34.2 

16.7 

98 

88.1 

43.  o 

58 

142.0 

69.3 

18 

195.9 

95.6 

78 

249.9 

121.9 

39 

35.i 

17.1 

99 

89.0 

43.4 

59 

142.9 

69.7 

r9 

196.8 

96.o 

79 

25o.8 

122.3 

4o 

36.o 

i7.5 

100 

89.9 

43.8 

60 

i43.8 

70.1 

20 

I97-7 

06.4 

80 

251.7 

122.7 

4i 

36.9 

18.0 

101 

90.8 

44.3 

TeT 

144.7    70.6 

221 

198.6 

96.9 

281 

252.6 

123.2 

42 

37-7 

18.4 

02 

91.7 

44.7 

62 

i45.6 

71.0 

22 

199.5 

97-3 

82 

253.5 

123.6 

43 

38.6 

1  8.  8 

o3 

92.6 

45.2 

63 

i46  5 

7i.5 

23 

200.4 

97-8 

83 

254-4 

124.1 

44 

39.5 

i9.3 

o4 

93.5 

45.6 

64 

147-4    7L9 

24 

201.3 

98.2 

84 

255.3 

124.5 

45 

40.4 

19.7 

o5 

94.4 

46.o 

65 

i48.3 

72.3 

25 

2O2.2 

98.6 

85 

256.2 

124.9 

46 

4i.3 

20.2 

06 

95.3 

46.5 

66 

149.2 

72.8 

26 

2O3.I 

99.1 

86 

257.1 

125.4 

47 

42.2 

20.6 

07 

96.2 

46.9 

67 

iSo.i 

73.2 

27 

204.0 

99-5 

87 

268.0 

125.8 

48 

43.i 

21  .0 

08 

97.1 

47-3 

68 

i5i  .0 

73.6 

28 

204.9 

99-9 

88 

258.9 

126.3 

49 

44.o 

21.5 

09 

98.0 

47.8 

69 

i5i  .9 

74-1 

20 

2o5.8 

100.4 

89 

259.8 

126.7 

5o 

44-9 

21.9 

IO 

98.9 

48.2 

70 

i5a.8 

74-5 

3o 

206.7 

100.8 

9° 

260.7 

127.1 

~sT 

45.8 

22.4 

1  1  1 

99.8 

48.7 

171 

i53.7 

75.o 

23l 

207.6 

ioi.3 

201 

261.5 

127.6 

52 

46.7 

22.8 

12 

100.7 

49.1 

72 

i54.6 

75.4 

32 

208.5 

101.7 

0'2 

262.4 

128.0 

53 

47-6 

23.2 

i3 

101  .6 

49.5 

73 

i55.5 

75.8 

33 

209.4 

102.  1 

93 

2633 

128.4 

54 

48'.  5 

23.7 

i4 

102.5 

5o.o 

74 

1  56.4 

76.3 

34 

210.3 

102.6 

94 

264.2 

128.9 

55 

49.4 

24.1 

i5 

io3.4 

5o.4 

75 

i57.3 

76.7 

35 

21  1.2 

io3.o 

95 

265.1 

129.3 

56 

5o.3 

24.5 

16 

io4.3 

5o.o 

76 

i58.2 

77.2 

36 

212.  1 

io3.5 

96 

266.0 

129.8 

57 

5l.2 

25.0 

17 

1O5.2 

5i.3 

77 

i59.i 

77.6 

37 

2l3.0 

io3.9 

97 

266.9 

I  36.2 

58 

52.1 

25.4 

18 

106.1 

5i.7 

78 

160.0 

78.0 

38 

2  I  3-9 

io4-3 

98 

267.8 

i3o.6 

59 

53.o   25.9 

19 

107.0 

52.2 

79 

160.9 

78.5 

39 

2  1  4.8 

104.8 

99 

268.7 

i3i.i 

60 

53.9    26  3 

20 

107.9 

52.6 

80 

161.8 

78.9 

4o 

2l5.7 

105.2 

3oo 

260.6 

i3i.5 

Dist. 

Dep.  1  La.. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lai. 

Dist. 

Dep. 

Lat. 

[For  CA  Degrees. 

TABLE    II                                                                [Pago  43 

Difference  of  Latitude  and  Departure  for  27  Degrees. 

Dial. 

Lat. 

Dep 

Di'st 

Lat. 

Dep% 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

I 

2 

3 

4 
5 
6 

8 

9 
ro 

00.9 
or.  8 
02.7 
o3.6 
o4.5 
o5.3 
06.2 
07.1 
08.0 
08.9 

oo.5 
00.9 

01  .i. 

01.8 
02.  3 
02.7 

03.2 

o3.6 
04.1 
o4.5 

61 

62 

63 
64 
65 
66 
67 
68 
69 

.  7° 

54-4 
55.2 
56.i 
57.o 
57.  9 
58.8 
59.7 
60.6 
6i.5 
62.4 

27.7 
28.1 
28.6 
29.1 
29.5 
3o.o 
3o.4 
3o.9 
3i.3 
3i.8 

121 
22 
23 

24 
25 

26 

27 
28 

? 

3o 

107.8 
108.7 
io9.6 
no.  5 
in  ./ 
112.; 

II3.2 

n4.o 
ii4.9 
n5.8 

54-9 
55.4 
55.8 
56.3 
56.7 

57.2 

57.7 
58.i 
58.6 
59.o 

i8r 
82 
83 
84 
85 
86 
87 
88 
89 
9° 

i6i.3 
162.2 
i63.i 
r63.9 
164.8 
165.7 
1  66  .6 
167.5 
168.4 
169.3 

82.2 
82.6 
83.i 
83.5 
84.0 
84.4 
84-9 
85.4 
85.8 
86.3 

34] 

42 

43 
44 
45 
46 
47 
48 

g 

214.7 
2r5.6 
2i6.5 
217.4 
2i8.3 

219.2 
22O.r 
221.0 
221.9 

2228 

109.4 
109.9 

I  10.' 

1  1  0.8 
1  1  1.  a 
111.7 

112.  1 
I  I  2.6 

ii3.o 
ii3.5 

ii 

12 

i3 
i4 
i5 
16 

09.8 
10.7 
n.6 

12.5 

i3.4 
r4.3 

o5.o 
o5.4 

-5-9 
06.4 
06.8 
07.3 

7i 
72 
73 
74 
75 
76 

63.3 
64.a 
65.o 
65.  9 
66.8 
67.7 

32.2 

si? 

33.6 
34.o 
34.5 

r3i 

32 

33 

34 
35 
36 

116.7 
117.6 

ii8.5 
u9.4 

I20.J 
121  .2 

59.5 
59.9 
60.4 
60.8 
6i.3 
61.7 

191 

92 

93 
94 

94 

170.2 
171.1 
172.0 
172.9 

173.7 
174-6 

86.7 
87.2 
87.6 
88.1 
88.5 
89.o 

25l 
52 

53 
54 
55 
56 

2236 

224.5 

225.4 

226.3 

227.2 
228.  r 

114.0 
ii4-4 
114.9 
n5.3 
1  1  5.8 
n6.a 

17 
18 

'9 

20 

r5.i 
16.0 
r6.9 
17.8 

07.7 
08.2 
08.6 
09.  r 

77 
78 

11 

68.6 
69.5 
70.4 
7i.3 

35.o 
35.4 
35.  9 
36.3 

37 
38 
39 
4o 

122.  I 

123.0 

123.8 
124.7 

62.2 
62.7 
63.i 
63.6 

97 

98 

99 

200 

i75.5 
176.4 

177-3 
178.2 

89.4 

89-9 
9o.3 
90.8 

57 
58 

59 

60 

229.O 
229.9 

23o.8 
23..7 

116.7 
117.1 
117-6 
1  18.0 

21 
22 
23 

18.7 
19.6 

20.5 

o9.5 
ro.o 
10.4 

8r 
82 
83 

72.2 

73.i 
74.o 

36.8 

37.2 

37.7 

i4i 

42 

43 

125.6 
126.5 
127.4 

64.o 
64.5 
64.9 

201 
02 

o3 

179-1 
1  80.0 
180.9 

9i.3 
91.7 
92.2 

261 
62 
63 

232.6 

233.4 
234-3 

n8.5 
118.9 

I  IQ.4 

24 
25 

21.4 

22.3 

10.9 
11.  3 

84 
85 

74.8 
75-7 

38.i 
38.6 

44 
45 

128.3 

120.2 

65.4 
65.8 

04 
o5 

181.8 
182.7 

92.6 
93.i 

64 
65 

235.2 

236.1 

119.0 

12O.3 

26 

23.2 

11.  8 

86 

76.6 

J9.o 

46 

i3o.  i 

66.3 

06 

i83.5 

Q3.5 

66 

237.0 

1  20.  8 

27 

24.1 

12.3 

87 

77-3 

39.5 

47 

i3i  .0 

66.7 

07 

i84-4 

94.0 

67  1  237.0 

121.2 

28 

24-9 

12.7 

88 

78.4 

4o.o 

48 

i3i.o 

67.2 

08 

i85.3 

Q4.4 

68 

238.8 

I2I-7 

?9 

3o 

25.8 
26.7 

13.2 

i3.6 

89 

9° 

79-3 
80.2 

4o.4 

4o.9 

i9 

5o 

i32.8 
i33.7 

67.6 
68.1 

°9 
10 

186.2 
187.1 

94.9 
95.3 

69 
70 

239.7 
240.6 

122.  1 
122.6 

3i 

27.6 

i4.i 

91 

81.1 

4i.3 

i5i 

i34.5 

68.6 

211 

188.0 

95.8 

271 

24i.5 

I23.O 

32 

28.5 

i4.5 

02 

82.0 

4i.8 

52 

i35.4 

69.o 

12 

188.9 

96.2 

72 

242.4 

123.5 

33 

34 

29.4 
3o.3 

i5.o 
i5.4 

93 

94 

82.9 
83.8 

42.2 
42.7 

53 

54 

i36.3 
137.2 

69.5 
69.9 

i3 

i4 

189.8 
190.7 

96-7 
97.2 

73 

74 

243.2 
244.1 

123.9 

124.4 

35 

3l.2 

i5.9 

95 

84.6 

43.i 

55 

i38.i 

70.4 

i5 

191.6 

97.6 

75 

245.0 

124.8 

36 

32.1 

i6.3 

96 

85.5 

43.6 

56 

i39.o 

70.8 

16 

192.5 

98.1 

76 

245.9 

125.3 

^7 

33.o 

16.8 

97 

86.4 

44-0 

57 

189.9 

7i.3 

17 

ip3.3 

98.5 

77 

246.8 

125.8 

38 

33.9 

i7.3 

98 

87.3 

44-5 

58 

i4o.8 

71-7 

18 

194.2 

99-° 

78 

247.7 

126.2 

39 

34.7 

17-7 

99 

88.2 

44.  9 

^9 

141.7 

72.2 

19 

195.1 

99-4 

79 

248.6 

126.7 

4o 

35.6 

18.2 

100 

89.1 

45.4 

60 

i4a.6 

72.6 

20 

196.0 

99-9 

80 

249.5 

127.1 

4i 

36.5 

18.6 

roi 

90.0 

45.9 

161 

i43.5 

73.i 

221 

196.9 

100.3 

281    25o.4 

127.6 

42 

37.4 

19.  i 

02 

90.9 

46.3 

62 

i44.3 

73.5 

22 

197-8 

100.8 

82 

25i.3 

128.0 

43 

38.3 

19.5 

o3 

91.8 

46.8 

63 

r45.2 

74-0 

23 

198.7 

loi.a 

83 

252.2 

128.5 

44 

39.2 

20.  o 

o4 

92.7 

47-2 

64 

i46.r 

74.5 

24 

199.6 

101.7 

84 

253.0 

128.9 

45 

4o.i 

20.4 

o5 

93.6 

47-7 

65 

147-0 

74.  9 

25 

200.5 

IO2.I 

85 

253.9 

129.4 

4b 

4i.o 

20.  9 

06 

94-4 

48.i 

66 

147.9 

75.4 

26 

201.4 

102.6 

86 

254-8 

129.8 

47 

41.9 

21  .3 

07 

95.3 

48.6 

67 

i48.8 

75.8 

27 

202.3 

io3.i 

87 

255.7 

i3o.3 

4« 

42.8 

21.8 

08 

Ctf.2 

49.o 

68 

149.7 

76.3 

28 

203.1 

io3.5 

88 

256.6 

i3o.7 

49 

43.7 

22.2 

09 

97-1 

49.5 

69 

i5o.6 

76.7 

29 

204.0 

104.0 

89 

257.5 

l3l.2 

5o 

44-6 

22.7 

10 

98.o 

49.9 

70 

i5i.5 

77.2 

3o 

2o4-9 

io4-4 

9° 

258.4 

.3i.7 

5i 

45.4 

23.2 

i  ii 

98-9 

5o.4 

171 

162.4 

77-6 

a3i 

2o5.8 

104.9 

201 

259.3 

i3a.i 

52 

46.3 

23.6 

12 

99-8 

5o.8 

72 

i53.3 

78.1 

32 

206.7 

io5.3 

92 

260.2 

i3a.6 

53 

47-2 

24.1 

i3 

100.7 

5i.3 

73 

i54.i 

78  5 

33 

207.6 

io5.8 

93 

261.1 

i33.o 

54 

48.i 

24.5 

i4 

roi  .6 

5r.8 

74 

i55.o 

79  o 

34 

208.5 

106.2 

94 

262.0 

i33.5 

55 

49.0 

25.0 

r5 

02.5 

52  .2 

75 

i55.9 

79  4 

35 

200.4 

106.7 

95 

2628 

i33.9 

56 

49.9 

25.4 

16 

o3.4 

52.7 

76 

i56.8 

79  9 

36 

210.3 

107.1 

96 

263.7 

i34.4 

i>7 

5o  8 

25.Q 

17 

104.2 

53.i 

77 

i57-7 

80  4 

37 

211.  2 

107.6 

97 

264.6 

1  34  .8 

58 

5i.7 

26.3 

18 

io5.i 

53.6 

78 

i58.6 

80  8 

38 

212.  1 

1  08.0 

98 

265.5 

i35.3 

59 

52.6 

26.8 

19 

106.0 

54-O 

79 

159.5 

81  3 

39 

213.0 

1  08.  5 

99 

2664 

i35,7 

bo 

53.5 

27.2 

20 

io6.9 

54.5 

80 

160.4 

81  7 

4o 

2i3.8 

io9.o 

3oo 

267.3 

1  36.  2 

Dist. 

Dep.  1  Lat 

Dist. 

Dep. 

Lat.' 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist.    Dep. 

Lat. 

[For  G3  Degrees. 

Page  44]                                                                   TABLE    II. 

Difference  of  Latitude  and  Departure  for  28  Degrees. 

Dist. 

i 

2 

Lat.  1  Dep. 
oo  .  9   oo  .  5 
01.8    oo.  o 

Dist. 

Lat. 

Dep. 

28.6 
29.1 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

61 
62 

53.9 
54-7 

121 
22 

106.8 

I07.7 

56.8 
57.3 

181 
82 

1  59.8 
160.7 

85.o 
85.4 

241 

42 

212.8 
2l3.7 

u3  i 

1  1  3.6 

3 

02.6 

01  .4 

63 

55.6 

29.6 

23 

108.6 

57.7 

83 

161.6 

85.9 

43 

214.6 

i  i4-i 

4 

o3.5 

01  .9 

64 

56.5 

3o.o 

24 

109.5 

58.2 

84 

162.5 

86.4- 

44 

2i5.4 

u4-6 

5 

o4.4 

02.3 

65 

57.4 

3o.5 

25 

110.4 

58.  7 

85 

i63.3 

86.9 

45 

2i6.3 

1  1  5.o 

6 

o5.3 

02.8 

66 

58.3 

3i.o 

26 

in.  3 

59.2 

86 

164.2 

87.3 

46 

217.2 

n5.5 

7 

06.2 

o3.3 

67 

59.2 

3i.5 

27 

112.  I 

59.6 

87 

i65.i 

87.8 

47 

218.  i 

116.0 

8 

07.1 

o3.8 

68 

60.0 

3!.  9 

28 

ii3.o 

60.  i 

88 

166.0 

88.3 

48 

219.0 

116.4 

g 

07.9 

04.2 

69 

60.9 

32.4 

29 

n3.9 

60.6 

89 

166.9 

88.7 

49 

219.9 

1  16.9 

7 

10 

08.8 

04.7 

70 

61.8 

32.9 

3o 

114.8 

61  .0 

9° 

167.8 

89.2 

5o 

220.7 

117.4 

1  1 

09.7 

05.2 

71 

62.7 

33.3 

i3i 

n5.7 

6i.5 

191 

168.6 

89.7 

25l 

221.6 

117.8 

12 

>. 
10.6 

o5.6 

72 

63.6 

33.8 

32 

ii6.5 

62.0 

92 

169.5 

90.1 

52 

222.5 

n8.3 

i3 

n.  5 

06.  i 

?3 

64.5 

34.3 

33 

117.4 

62.4 

93 

170  4 

90.6 

53 

223.4 

118.8 

i4 

12.4 

06.6 

74 

65.3 

34.7 

34 

n8.3 

62.9 

94 

i7i.3 

91.1 

54 

224.3 

1  19.2 

i5 

l3.2 

07.0 

75 

66.2 

35.2 

35 

119.2 

63.4 

95 

172.2 

9I.S 

55 

225.2 

119.7 

16 

i4-i 

o7.5 

76 

67.1 

35.7 

36 

I  20.  I 

63.8 

96 

i73.i 

92.0 

56 

226.0 

I2O.2 

17 

i5.o 

08.0 

77 

68.0 

36.i 

37 

121  .O 

64.3 

97 

173.9 

92.5 

57 

226.9 

I2O.7 

18 

i5.o 

o8.5 

78 

68.9 

36.6 

38 

121.  8 

64.8 

98 

174.8 

93.0 

58 

227.8 

121.  1 

IQ 

16.8 

08.9 

79 

69.8 

37.i 

39 

122.7 

65.3 

99 

175.7 

93.4 

59 

228.7 

I  2  1.  6 

7 

20 

17-7 

09.4 

80 

70.6 

37.6 

4o 

123.6 

65.  7 

200 

176.6 

93.9 

60 

229.6 

122.1 

21 

i8.5 

09.9 

81 

7i.5 

38.o 

i4i 

124.5 

66.2 

201 

i77.5 

94-4 

261 

23o.4 

122.5 

22 

19.4 

l6.3 

82 

72.4 

38.5 

42 

125.4 

66.  7 

02 

178.4 

94.8 

62 

23i.3 

123.0 

23 

20.3 

10.8 

83 

73.3 

39.o 

43 

126.3 

67.1 

03 

179.2 

95.3 

63 

232.2 

123.5 

24 

21  .2 

11.  3 

84 

74.2 

39.4 

44 

127.1 

67.6 

o4 

180.1 

95.8 

64 

233.1 

123.9 

25 

22.1 

ii  .7 

85 

75.i 

39.9 

45 

128.0 

68.1 

o5 

181.0 

96.2 

65 

234-0 

124.4 

26 

23    0 

12.2 

86 

75.9 

4o.4 

46 

128.9 

68.5 

06 

181.9 

96-7 

66 

234-9 

124.9 

27 

23.8 

12.7 

87 

76.8 

4o.8 

47 

129.8 

69.0 

07 

182.8 

97.2 

67 

235.7 

125.3 

28 

2^.7 

i3.i 

88 

77-7 

4i.3 

48 

i3o-7 

69.5 

08 

i83/7 

97-7 

68 

236.6 

125.8 

20 

25.6 

i3.6 

89 

78.6 

4i.8 

49 

:3i.6 

70.0 

09 

184.5 

98.1 

69 

2.37.5 

126.3 

3o 

26.5 

14.1 

90 

79-5 

42.3 

5o 

i32.4 

7^-4 

10 

i85.4 

98.6 

70 

238.4 

126.8 

3i 

27.4 

i4-6 

91 

8o.3 

42.7 

i5i 

i33.3 

70.9 

211 

7861" 

99-  ! 

271 

"alp 

127.2 

32 

28.3 

i5.o 

92 

8i.a 

43.2 

52 

i34.2 

71.4 

12 

187.2 

99-5 

72 

240.2 

127.7 

33 

29.  i 

i5.5 

93 

82.1 

43.7 

53 

i35.i 

71.8 

13 

188.1 

1  00.0 

73 

241.0 

128.2 

34 

3o.o 

16.0 

94 

83.o 

44.i 

54 

i36.o 

72.3 

i4 

189.0 

loo.S 

74 

241-9 

128.6 

35 

3o.9 

16.4 

95 

83.9 

44.6 

55 

i36.9 

•72.8 

i5 

189.8 

ioo.9 

75 

242.8 

1  29.1 

36 

3i.8 

16.9 

96 

84.8 

45.i 

56 

i37.7 

73.2 

16 

190.7 

101.4 

76 

243.7 

129.6 

3y 

32.7 

17-4 

97 

85.6 

45.5 

57 

i38.6 

73.7 

17 

191.6 

ioi.9 

77 

244.6 

i3o.o 

38 

33.6 

1.7.8 

98 

86.5 

46.o 

58 

i39.5 

74.2 

18 

192.5 

102.3 

78 

245.5 

i3o.5 

39 

34-4 

i8.3 

99 

87.4 

46.5 

59 

i4o.4 

74.6 

J9 

193.4 

102.8 

79 

246.3 

i3i.o 

4o 

35.3 

18.8 

100 

88.3 

46.9 

60 

i4i.3 

75.i 

20 

194.2 

io3.3 

80 

247.2 

i3i.5 

4i 

36.2 

19.2 

101 

89.2 

47-4 

161 

142.2 

75.6 

221 

195.1 

io3.8 

281 

248.1 

1  3  1.  9 

4s- 

37.i 

19.7 

02 

90.1 

47-9 

62 

143.0 

76.i 

22 

196.0 

104.2 

82 

249.0 

i32.4 

43 

38.o 

2O.  2 

o3 

90.9 

48.4 

63 

143.9 

76.5 

23 

196.9 

104.7 

83 

249.9 

132.9 

44 

38.8 

20.7 

04 

91.8 

48.8 

64 

144-8 

77-0 

24 

197.8 

105.2 

84 

25o.8 

i33.3 

45 

39.7 

21  .  I 

o5 

92.7 

49-3 

65 

i45.7 

77-5 

25 

198.7 

io5.6 

85 

25  1.  6 

i33.8 

46 

4o.6 

21.6 

06 

93.6 

49.8 

66 

i46.6 

77-9 

26 

199.5 

106.1 

86 

252.5 

1  34.  3 

4? 

4i.5 

22.1 

07 

94.5 

50.2 

67 

i47.5 

78.4 

27 

200.4 

1  06.6 

87 

253.4 

1  34-7 

48 

43.4 

22.5 

08 

95.4 

5o.7 

68 

148.3 

78.9 

28 

201.3 

107.0 

88 

254-3 

i35.2 

49 

43.3 

23.0 

09 

96.2 

5i.a 

69 

149.2 

79-3 

29 

202.2 

107.5 

89 

255.2 

i35.7 

5o 

44.i 

23.5 

10 

97.1 

5i.6 

70 

i5o.i 

79.8 

3o 

203.1 

1  08.0 

90 

256.1 

1  36.  i 

5i 

45.o 

73^" 

III 

98.0 

52.! 

171 

i5i  .0 

"8o.3 

23l 

204-0 

108.4 

291 

256.9 

1  36.6 

52 

45-9 

24.4 

12 

98.9 

52.6 

72 

i5i  .9 

80.7 

32 

204.8 

108.9 

92 

257.8 

137.1 

53 

46.8 

24.9 

i3 

99.8 

53.i 

73 

l52.7 

81.2 

33 

205.7 

109.4 

93 

258.7 

137.6 

54 

47-7 

25.4 

i4 

100.7 

53.5 

74 

i53.6 

81.7 

34 

206.6 

109.9 

94 

259.6 

i38.o 

55 

48.6 

25.8 

i5 

loi.S 

54.0 

75 

i54.5 

82.2 

35 

207.5 

no  3 

95 

260.5 

i38.5 

56 

49.4 

26.3 

16 

102.^ 

54-5 

76 

i55.4 

82.6 

36 

208.4 

1  10.8 

96 

261.4 

139.0 

5? 

5o.3 

26.8 

17 

io3.3 

54-9 

77 

i56.3 

83.i 

37 

209.3 

iu.3 

97 

262.2 

139.4 

58 

5l.2 

27.2 

18 

104.2 

55.4 

78 

l57.2 

83.6 

38 

2IO.I 

111.7 

98 

263.1 

i39.9 

59 

52.1 

27.7 

19 

io5.  i 

55.9 

79 

i58.o 

84.0 

39 

2II.O 

112.  2 

99 

264.0 

i4o.4 

60 

53.o 

28.2 

20 

106.0 

56.3 

80 

i58.9 

84.5 

4o 

2II.9 

II2.7 

3oo 

264.9 

i4o.S 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lai. 

[For  62  Degrees. 

TABLE   II.                                            fP-s-  •* 

Difference  of  Latitude  and  Departure  for  29  Degrees. 

Dist. 

Lat. 

Dep. 

ist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

ist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

)O.Q 

o.5 

61 

53.4 

29.6 

121 

106.8 

58.7 

8l 

1  58.3 

87.8 

24  1 

H0.8 

1  16.8 

2 

JI.7 

I  .0 

62 

54-2 

3o.i 

22 

106.7 

69.1 

82 

1  59.2 

88.2 

42 

211.7 

II7-3 

3 

02.6 

i  .5 

63 

55.i 

3o.5 

23 

107.6 

59.6 

83 

160.1 

88.7 

43 

212.5 

1  17.8 

4 

o3.5 

1.9 

64 

56.o 

3i.o 

24 

108.5 

60.  i 

84 

160.9 

89.2 

44 

2i3.4 

n8.3 

5 

o4.4 

2.4 

65 

56.9 

3i.5 

25 

109.3 

60.6 

85 

161.8 

89.7 

45 

214.3 

1  18.8 

6 

05.2 

02.9 

66 

57-7 

32.0 

26 

no.  2 

61.1 

86 

162.7 

90.2 

46 

215.2 

119.3 

7 

06.  i 

o3.4 

67 

58.6 

32.5 

27 

in  .1 

61.6 

87 

i63.6 

90.7 

47 

216.0 

119.7 

8 

07.0 

o3.9 

68 

59.5 

33.o 

28 

112.  0 

62.  i 

88 

1  64.  4 

91.1 

48 

216.9 

I  20.  2 

9 

07.9 

o4-4 

69 

6o.3 

33.5 

29 

112.  8 

62.5 

89 

i65.3 

91.6 

49 

217.8 

120-7 

10 

08.7 

04.8 

70 

61.2 

33.9 

3o 

ii3.7 

63.o 

90 

166.2 

92.1 

5c> 

218.7 

121.  2 

1  1 

9.6 

o5.3 

71 

62.1 

34-4 

i3i 

114.6 

63.5 

91 

167.1 

92.6 

25l 

2I9.5 

121.7 

12 

o.5 

,5.8 

72 

63.o 

34-9 

32 

n5.4 

64.o 

92 

167.9 

93.1 

52 

220.4 

122.2 

i3 

i  .4 

o6.3 

73 

63.8 

35.4 

33 

u6.3 

64.5 

93 

168.8 

93.6 

53 

221.3 

I22.7 

2.2 

06.8 

74 

64-7 

35.9 

34 

117-2 

65.o 

94 

169.7 

94.1 

54 

222.2 

123.1 

i5 

3.1 

07-3 

75 

65.6 

36.4 

35 

118.1 

65.4 

95 

170.6 

94-5 

55 

223.0 

23.6 

16 

4.0 

07.8 

76 

66.5 

36.8 

36 

118.9 

65.9 

96 

171.4 

95.0 

56 

223.9 

24.1 

17 

4.9 

08.2 

77 

67.3 

37.3 

37 

119.8 

66.4 

97 

172.3 

95.5 

57 

224.8 

24.6 

18 

5.7 

08.7 

78 

68.2 

37.8 

38 

120.7 

66.9 

98 

173.2 

96.0 

58 

225-7 

125.1 

6.6 

09.2 

79 

69.1 

38.3 

39 

121  .6 

67.4 

99 

174.0 

9b.i> 

59 

226.5 

125.6 

20 

7.5 

09.7 

80 

70.0 

38.8 

4o 

122.4 

67.9 

200 

174.9 

97.0 

bo 

227.4 

126.1 

21 

8.4 

IO.2 

81 

70.8 

39.3 

i4i 

123.3 

68.4 

201 

i75.8 

97-4 

261 

228.3 

126.5 

22 

9.2 

10.7 

82 

71.7 

39.8 

42 

124.2 

68.8 

O2 

176.7 

97-9 

62 

229.2 

I27.0 

23 

20.  i 

I  I  .2 

83 

72.6 

40.2 

43 

125.  I 

69.3 

O-: 

177.5 

98.4 

63 

230.0 

1*7.5 

24 

21  .0 

ii.  6 

84 

73.5 

40.7 

44 

125.9 

69.8 

oz 

178.4 

98-9 

64 

23o.9 

128.0 

25 

21  .9 

12.  I 

85 

74-3 

41.2 

45 

126.8 

70.3 

o5 

179.3 

99.4 

bb 

23  1.  8 

128.5 

26 

22  .7 

12.6 

86 

4i-7 

46 

127.7 

70.8 

06 

180.2 

99-9 

bb 

232.6 

129.0 

27 

23.6 

i3.  i 

87 

76.1 

42.2 

47 

128.6 

71.3 

07 

181.0 

100.4 

67 

233.5 

129.4 

28 

2.4.5 

i3.6 

88 

77.0 

42.7 

48 

12Q.4 

71.8 

08 

181.9 

100.8 

68 

234-4 

129.9 

29 

?5.4 

14.1 

89 

77-8 

43.i 

49 

i3o.3 

72.2 

09 

182.8 

IOI.3 

69 

235.3 

i3o.4 

3o 

96  ? 

i4-5 

90 

78.7 

43.6 

5o 

l3l.2 

72.7 

10 

i83.7 

101.8 

70 

236.1 

i3o.9 

3i 

27.1 

i5.o 

91 

79.6 

44.i 

i5i 

i3a.i 

73.2 

211 

i84-5 

102.3 

271 

237.0 

i3i.4 

32 

33 

28.0 
28.9 

i5.5 
16  o 

9* 

od 

8i!3 

44-6 
45.i 

53 

i3a.o 
,33.8 

73.7 

74-2 

12 

i3 

i85.4 
i86.3 

102.8 

io3.3 

?73 

237-9 
238.8 

i3i-9 
i32.4 

34 

29.7 

i6.5 

94 

82.2 

45.6 

54 

i34.7 

74-7 

i4 

187.2 

io3.7 

74 

239.6 

i32.8 

35 

3o  .6 

170 

o5 

83.i 

46.i 

55 

i35.6 

75.t 

i5 

188.0 

io4-2 

75 

24o.5 

i33.3 

36 

3i.5 

i7.5 

84.0 

46.5 

56 

i36.4 

75.6 

16 

188.9 

104.7 

76 

241.4 

1.33.8 

37 
38 

39 

4o 

32.4 
33.2 
34.i 
35.o 

17.9 
18.4 
18.9 
19.4 

i 

99 

I  GO 

84.8 
85.7 
86.6 
.87.5 

47-0 
47.5 
48.o 
48.5 

58 

59 
60 

i37.3 
i38.a 
i39.i 
i39.9 

76.1 

76.6 
77-1 
77-6 

17 
18 

20 

189.8 
190.7 
191.5 
192.4 

IOD.2 

106.7 

1  06.  2 

106.7 

77 
78 

Z9 
80 

242.3 
243.1 
244.0 

1  34-3 
1  34.8 

i35.3 
i35.7 

4i 

42 

43 
44 

35.9 
36.7 
37.6 

38,5 

19.9 

20.4 
20.8 
21  .3 

101 
O2 

o4 

88.3 
89.2 
90.1 
91  .0 

49.0 
49.5 

49.9 
5o.4 

161 
62 
63 
64 

i4o.8 

i4i-7 
142.6 
i43.4 

78.1 
78.5 
79.0 
79.5 

221 
22 
23 
24 

193.3 
19-4.2 
i95.o 
i95.9 

107.1 
107.6 

108.1 
108.6 

281 
82 

83 

84 

245.8 
246.6 
247-5 
248.4 

i36.2 
1  36.7 

l37.2 

1  37-7 

45 
46 
47 
48 

39.4 
40.2 

42^0 

21.8 
22.3 
22.8 

23.3 

o5 
06 

°7 
08 

91.8 
92.7 
o3.6 

94-5 

50.9 
5i.4 
61.9 

52.4 

65 
66 

67 
68 

i44-3 
i45.2 
i46.i 
i46.9 

80.  c 
8o.5 
81.0 
8i.4 

25 
26 

27 
28 

196.8 
I97-7 
ijfc 
199.4 

109.1 
109.6 

I  10.  1 

1  10.  5 

85 
86 

87 
88 

25o'.I 

261.0 

25l.9 

r        A 

i38.2 
i38.7 
1  39.  i 
139.6 

49 
5o 

42.9 

43.  7 

23.8 

24.2 

09 

10 

95.3 
96.2 

53  '.3 

69 

70 

148.7 

81.9 
82.4 

29 

3o 

200.  3 

201.2 

III.O 

1  1  1.  5 

69 
9° 

252.8 

253.6 

i4o.6 

5i 

44.6 

24.7 

n 

97.1 

53.8 

171 

149.6 

82.9 

23  I 

202.0 

I  12.0 

29. 

254-5 

>4i.j 

52 

53 

45.5 
46.4 

25.2 

25.7 

i 
i3 

98.0 
98.8 

54-3 
54.8 

72 
73 

160.4 
i5i.3 

83.4 
83.9 

32 

33 

202.9 
203.8 

1  12.5 

1  1  3.o 

% 

23.).  4 

256.3 

142.0 

54 
55 
56 

57 
58 

47-2 

48.i 
49.0 
49.9 
50.7 

26.2 
26.7 

27.  1 

27.6 
28.1 

it 

i 
'  i 
i 
i 

99-7 
100.6 
101.5 

102.3 
103.2 

55.3 
55.8 
56.2 
56.7 

57.2 

74 
75 
76 
77 
78 

162.  a 
i53.i 

1  54  '.8 
166.7 

84.4 
84.8 
85. 
85. 
86. 

34 
35 

36 

37 
38 

204-7 

2o5.5 
206.^ 
207.: 
208.2 

1  13.4 
ii  3.9 

1  14-9 
1  1  5.4 

94 

2.57.1 
258.o 
2.58.9 

1  43.o 
,43.5 
i44.c 
i44-5 

5g 

6c 

61.6 
52.5 

28.6 

29. 

2 

104.1 
io5.c 

57.7 
58.2 

Zj 

i56.C 

167.4 

86. 
87- 

39 

4o 

209.0 

209.9 

1  15.9 
1  16.4 

3oo 

2.b  i  .!: 
26  2.  i 

145-4 

Dis 

DCD 

Lat 

Dis 

Dep. 

Lat. 

Dst 

Dep. 

Lat 

Dist 

Dep. 

Lat. 

Dist 

Dep 

Lai. 

[For  Gl  Degrees. 

l'a«e4G]                                                                  TABLE     II 

Difference  of  Latitude  and  Departure  for  30  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dop. 

Dist. 

Lat.       Dep. 

Dist. 

Lat 

Dep. 

i 

00.9 

7xT5 

~6T 

52.8 

~3oT5" 

121 

io4.8 

6o.5 

181 

1  56.8      90.5 

"air 

208.7 

1  20.  5 

2 

01   7 

01  .0 

62 

53.7 

3i,o 

22 

io5.7 

61  .0 

82 

1  57.6     91.0 

42 

209.6 

121.  0 

3 

oa  6 

oi.5 

63 

54.6 

3i.5 

2.3 

io6.5 

6i.5 

83 

i58.5 

91.5 

43 

210.4 

I2I.5 

4 

o3.5 

02.  o 

64 

55.4 

32.0 

24 

107.4 

62.0 

&4 

i59.3 

Oi.O 

44 

2  I  1.  3 

122.0 

5 

o4-3 

02.5 

65 

56.3 

32.5 

25 

108.3 

62.5 

85 

160.2 

92.5 

45 

212.2 

122.5 

6 

05.2 

o3.o 

66 

57.2 

33.o 

26 

109.1 

63.o 

86 

161.1 

93.o 

46 

2l3.0 

123.0 

7 

06.  i 

o3.5 

67 

58.o 

33.5 

27 

IIO.O 

63.5 

87 

161.9 

93.5 

47 

2l3.9 

123.5 

8 

06.9 

04.0 

68 

58.  9 

34.o 

28 

110.9 

64.0 

88 

162.8 

94.0 

48 

214.8 

124.0 

9 

07.8 

o4.5 

69 

59.8 

34-5 

29 

111.7 

64.5 

89 

i63.7 

94.5 

49 

2  1  5.6 

124.5 

10 

08.7 

o5.o 

7" 

60.6 

35.o 

3o 

112.  6 

65.o 

90 

1  64.  5 

95.0 

5o 

2i6.5 

125.0 

ii 

o9.5 

~o575~ 

71 

~6i~!ir 

35.5 

i3i 

n3.4 

65.5 

191 

i65.4 

95.5 

a5i 

217.4 

125.5 

12 

io.4 

06.0 

72 

62.4 

36.o 

32 

n4.3 

66.0 

92 

1  66.3 

96.0 

52 

218.2 

126.0 

i3 

ii.  3 

o6.5 

73 

63.2 

36.5 

33 

Il5.2 

66.5 

93 

167.1 

96.5 

53 

2I9.1 

126.5 

i4 

12.  I 

07.0 

74 

64.i 

37.o 

34 

116.0 

67.0 

94 

168.0 

97.0 

54 

220.0 

127.0 

i5 

i3.o 

o7.5 

75 

65.o 

37.5 

35 

116.9 

67.5 

0 

168.9 

97-5 

55 

220.8 

127.5 

16 

13.9 

08.0 

76 

65.8 

38.o 

36 

117.8 

68.0 

96 

169.7 

98.0 

56 

221.7 

128.0 

17 

1.4.7 

o8.5 

77 

66.7 

38.5 

37 

118.6 

68.5 

97 

170.6 

98.5 

57 

222.6 

128.5 

18 

i5.6 

09.0 

78 

67.5 

39.0 

38 

1  19.5 

69.0 

98 

i7i.5 

99.0 

58 

223.4 

129.0 

19 

i6.5 

o9.5 

79 

68.4 

39.5 

39 

120.4 

69.5 

99 

172.3 

99.5 

59 

224.3 

129.5 

20 

i7.3 

IO.O 

80 

69.3 

4o.o 

4o 

121  .2 

70.0 

200 

I73.2 

IOO.O 

60 

225.2 

i3o.o 

21 

i8.a 

io.5 

81 

70.1 

4o.5 

i4i 

122  .  I 

"7^5 

20i 

174.1 

ioo.  5 

261 

226.0 

i3o.5 

22 

19.1 

11  .0 

82 

71.0 

4i  .0 

42 

123.0 

71.0 

02 

174.9 

IOI.O 

62 

226.9 

i3i.o 

23 

19.9 

ii.  5 

83 

71.9 

4i.5 

43 

123.8 

7i.5 

03 

i75.8 

ioi.5 

63 

227.8 

i3i.5 

24 

20.8 

12.  O 

84 

72.7 

42.0 

44 

124-7 

72.0 

04 

176.7 

I02.O 

64 

228.6 

1  32.0 

25 

21.7 

12.5 

85 

73.6 

42.5 

45 

125.6 

72.5 

o5 

177.5 

102.5 

65 

229.5 

i32.5 

26 

22.5 

i3.o 

86 

74.5 

43.o 

46 

126.4 

73.o 

06 

178.4 

io3.o 

66 

230.4 

1  33.o 

27 

23.4 

i3.5 

87 

75.3 

43.5 

47 

127.3 

73.5 

07 

179.3 

io3.5 

67 

23l.2 

i33.5 

28 

24.2 

14.0 

88 

76.2 

44-0 

48 

128.2 

74-0 

08 

1  80.  i 

104.0 

68 

232.1 

1  34.o 

29 

25.1 

i4.5 

89 

77-i 

44-5 

49 

129.0 

74-5 

09 

181.0 

io4.5 

69 

233.0 

i34.5 

3o 

26.0 

i5.o 

9° 

77-9 

45.o 

5o 

129.9 

75.o 

10 

181.9 

io5.o 

70 

233.8 

i35.o 

3i 

26.8 

i5.5 

91 

78.8 

45.5 

i5i 

i3o.S  |75.5 

211 

182.7 

io5.5 

271 

234.7 

i35.5 

32 

27.7 

16.0 

92 

79-7 

46.0 

52 

i3i.6 

76.0 

12 

1  83.6 

1  06.0 

72 

235.6 

1  36.o 

33 

28.6 

i6.5 

93 

8o.5 

46.5 

53 

!32.5 

76.5 

13 

i84-5 

io6.5 

73 

236.4 

i36.5 

34 

29.4 

17.0 

94 

81.4 

47.0 

54 

i33.4 

77.0 

i4 

i85.3 

107.0 

74 

237.3 

137.0 

35 

3o.3 

i7.5 

95 

82.3 

47-5 

55 

1  34.  a 

77-5 

i5 

186.2 

107.5 

75 

238.2 

137.5 

36 

3l.2 

18.0 

96 

83.i 

48.o 

56 

i35.i 

78.0 

16 

187.1 

108.0 

76 

239.0 

i38.o 

3? 

32.0 

i8.5 

97 

84.0 

48.5 

57 

1  36.o 

78.5 

17 

187.9 

io8.5 

77 

239.9 

i38.5 

38 

32.9 

19.0 

98 

84.9 

49-0 

58 

1  36.8 

79.0 

18 

188.8 

109.0 

78 

240.8 

139.0 

39 

33.8 

i9.5 

99 

85.7 

49-5 

59 

i37.7 

79-5 

J9 

189.7 

109.5 

79 

241.6 

139.5 

4o 

34.6 

20.  o 

IOO 

86.6 

5o.o 

60 

1  38.6 

80.0 

20 

190.5 

11O.O 

80 

242.5 

i4o.o 

4r 

35.5 

20.5 

101 

87.5 

5o.5 

161 

139.4 

~8o75" 

221 

191.4 

i  io.5 

281 

243.4 

i4o.5 

42 

36.4 

21  .O 

02 

88.3 

5i.o 

62 

i4o.3 

81.0 

22 

192.3 

III.O 

82 

244.2 

i4i-o 

43 

37.2 

21.5 

o3 

89.2 

5i.5 

63 

i4i  .2 

8i.5 

23 

193.1 

iii.S 

83 

245.1 

i4i.5 

44 

38.i 

22.0 

o4 

90.1 

52.0 

64 

142.0 

82.0 

24 

194.0 

I  I  2.0 

84 

246.0 

142.0 

45 

39.o 

22.5 

o5 

90.9 

52.5 

65 

142.9 

82.5 

25 

194.9 

I  I  2.5 

85 

246.8 

i4a.5 

46 

39.8 

23.0 

06 

91.8 

53.o 

66 

i43.8 

83.o 

26 

r 

195.7 

n3.o 

86 

247.7 

1  43.o 

47 

40.7 

23.5 

07 

92.7 

53.5 

67 

i44.6 

83.5 

27 

196.6 

n3.5 

87 

248.5 

i43.5 

48 

4i.6 

24.0 

08 

93.5 

54.o 

68 

i45.5 

84.0 

28 

197.5 

i  i4-o 

88 

249.4 

1  44.0 

J9 

42.4 

24.5 

09 

94-4 

54.5 

69 

i46.4 

84.5 

29 

198.3 

n4.5 

89 

25o.3 

i44-5 

5o 

43.3 

25.0 

10 

95.3 

55.o 

70 

147.2 

85.o 

3o 

199.2 

1  1  5.o 

9° 

25l.I 

1  45.o 

~~5T 

44-2 

~2~575~ 

in 

90.1 

bb.b 

171 

148.1 

85.5 

23l 

200.1 

n5.5 

291 

252.O 

i45.5 

52 

45.o 

26.0 

12  1     97.0 

56.o 

72 

149.0 

86.0 

32 

200-9 

1  16.0 

92 

252.9 

1  46.o 

53 

45.9 

26.5 

i3 

97-9 

56.5 

73 

149.8 

86.5 

33 

201.8 

n6.5 

93 

253.7 

i46.5 

54 

46.8 

27.0 

i4 

98.7 

57.o 

74 

i5o.7 

87.0 

34 

202.6 

117.0 

94 

254-6 

147.0 

55 

47-6 

27.5 

i5 

99.6 

57.5 

75 

i5t.fi 

87.5 

35 

203.5 

ii7.5 

95 

255.5 

147-5 

56 

48.5 

28.0 

16 

100.5 

58.o 

76 

i52.4 

88.0 

36 

204.4 

1  1  8.0 

96 

256.3 

1  4S.o 

57 

49.4 

28.5 

17 

101  .3 

58.5 

77 

i53.3 

88.5 

37 

205.2 

n8.5 

97 

257.2 

i48.5 

58 

5o.2 

29.0 

18 

102.2 

59.0 

78 

i54.2 

89.0 

38 

206.  1 

119.0 

98 

258.1 

149.0 

59 
60 

5i.i 

52.0 

29.5 
3o.o 

19 

20 

io3.i 
103.9 

59.5 
60.0 

79 
80 

i55.o 
1  55.  9 

89.5 
90.0 

39 
4o 

207.0 

207.6 

119.5 

I2O.O 

.99 

ooo 

268.9 
259.8 

.i49.5 
150.0 

Dist. 

DepT 

Lat. 

Di^u 

Dep.  |  Lat. 

Dist. 

Dep.  1  Lat. 

Dist.    Den. 

Lat. 

Disi 

Dep. 

Lat. 

[For  60  Degrees. 

TABLE   II.                                             ir«se4? 

Difference  of  Latitude  and  Departure  for  31  Degrees. 

Dist. 

Lat. 

Dep. 

Dst. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

)ist. 

Lat.    j  Dep. 

i 

00.9 

oo.5 

61 

52.3 

1-4 

2, 

o3.7 

2.3 

81 

I55.I 

Q3.2 

24  1 

206.6  1  124.1 

2 

01.7 

o.  .0 

62 

53.i 

1.9 

22 

04.6 

2.8 

82 

,56.0 

93-7 

207.4'  124.6 

3 

02.6 

oi.5 

63 

54-0 

2.4 

23 

o5.4 

63.3 

83 

1  56.9 

9^.3 

43 

208.3-  125.2 

4 

o3.4 

02  .  i 

64 

54-9 

3.o 

24 

o6.3 

63.9 

84 

157.7 

94-8 

44 

209.1      125.7 

5 

o4.3 

02  .6 

65 

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3.5 

25 

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64.4 

85 

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95.3 

45 

210.0 

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6 

o5.i 

o3.i 

66  1    56.6 

4.0 

26 

08.0 

64.9 

86 

159.4 

95.8 

46 

210.9 

126.7 

7 

06.0 

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67 

57.4 

4.5 

27 

08.9 

65.4 

87 

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96.3 

47 

21I.7 

127.2 

8 

06.9 

04.  i 

68 

58.3 

35.o 

28 

09.7 

65.9 

88 

,6,.  i 

96.8 

48 

212.6 

127.7 

9 

07  7 

04.6 

69 

59.i 

35.5 

29 

i  .0.6 

60.4 

89 

162.0 

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49 

2  I  3.4 

128.2 

10 

08.6 

05.2 

60.0 

36., 

3o 

i  .  i.  4 

67.0 

9° 

162.9 

97-9 

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214.3 

128.8 

1  1 

09.4 

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7i 

60.9 

36.6 

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112.  3 

67.5 

191 

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98.4 

25l 

2l5.I 

129.3 

12 

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06.2 

72 

61.7 

37., 

32 

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68.0 

92 

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98-9 

52 

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129.8 

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1  1  .  i 

06.7 

73 

62.6 

37.6 

33 

n4-o 

68.5 

93 

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99-4 

53 

216.9 

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14 

12.0 

07.2 

74 

63.4 

38.i 

34 

1,4.9 

69.0 

94 

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99-9 

54 

217.7 

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12.9 

07.7 

75 

64.3 

38.6 

35 

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69.5 

95 

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100.4 

55 

218.6 

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16 

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76 

65.i 

39.i 

36 

1.6.6' 

70.0 

96 

168.0 

100.9 

56 

219.4 

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17 

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08.8 

77 

66.0 

39.7 

37 

ii7-4 

70.6 

97 

168.9 

101.5 

57 

220.3 

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18 

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09.3 

78 

66.9 

40.2 

38 

i,8.3 

7i  -i 

98 

169.7 

102.0 

58 

221.1 

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19 

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09.8 

79 

67.7 

4o.7 

39 

1,9.1 

71.6 

99 

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102.5 

59 

222.O 

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20 

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80 

68.6 

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72.  , 

200 

171.4 

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60 

222-9 

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21 

18.0 

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69.4 

41.7 

14, 

120-9 

72.6 

20, 

172.3 

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261 

223-7 

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22 

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42    2 

42 

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02 

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104.0 

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83 

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104.6 

63 

225.4 

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20.6 

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84 

72.0 

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44 

123.4 

74-2 

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64 

226.3 

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2.5 

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85 

72.9 

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45 

124.3 

74.7 

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175.7 

io5.6 

65 

0.27.1 

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26 

86 

73.? 

44.3 

46 

125.1 

75.2 

06 

176.6 

1  06.  i 

66 

228.0 

137.0 

27 

23.  I 

•  3.9 

87 

74.6 

44.8 

47 

126.0 

75.7 

07 

177.4 

106.6 

67 

228.9 

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28 

24  <> 

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88 

75.4 

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08 

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107.1 

68 

229.7 

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29 

3o 

94.9 

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89 

90 

70.3 

77.1 

45.8 
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127.7 
128.6 

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10 

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70 

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75 

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76 

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57 

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17 

186.0 

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98 

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58 

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59 

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79 

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85.7 

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60 

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82.4 

20 

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1,3.3 

80 

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ii 

35   i 

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82.9 

221 

189.4 

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28, 

240.9 

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42 

36.o 

21.6 

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87.4 

52.5 

62 

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83.4 

22 

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ii4.3 

82 

241.7 

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36  o 

88.3 

53.o 

63 

139.7 

84.0 

2.3 

191.1 

1  14.9 

83 

242.6 

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4'4 

3V? 

29  .7 

o4 

89.1 

53.6 

64 

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84.5 

24 

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84 

243.4 

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45 

38  6 

23.2 

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90.0 

54.! 

65 

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85.o 

25 

192.9 

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85 

244-3 

1  46.8 

46 

47 
48 

49 
5o 

39.4 
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42  .0 
42.9 

23.7 
24.2 
24-7 

25.2 

25.8 

06 
07 
08 
09 

H 

90.9 
91.7 

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94.3 

54-6 
55.i 
55.6 
56.i 
56.7 

66 

67 
.  68 
69 

70 

i42.3 
i43.i 
i44.c 

144.9 
i45.7 

85.5 
86.0 
86.5 
87.0 
87.6 

26 

27 
28 

194.6 
195.4 
196.3 
197.1 

,16.4 
116.9 
117-4 
117.9 
,,8.5 

86 

87 
88 
89 
9° 

245.1 
246.0 
246.9 

247-7 
248.6 

147-3 

i47-8 
,48.3 
1  48  .8 
149.4 

5i 

43  7 

~2~6~3~ 

I  I  I 

57.2 

171 

i46.6 

88., 

23, 

198.0 

,  19  o 

201 

249.4 

149-9 

5? 

44.6 

26.8 

12 

9^.0 

57-7 

72 

i47-4 

88.6 

32 

198.9 

119.5 

9? 

25o.3 

,5o.4 

53 
54 
55 
56 

57 
58 

59 
60 

45.4 
'46.3 
47.1 
48.0 
48.9 
49-7 
5o.6 
5i.4 

27.3 
27.8 
28.3 
28.8 
29.4 
59.9 
3o.4 
30.9 

i3 
u 

.5 
.6 

17 
18 

!9 

20 

96.9 
97-7 
98.6 
99., 

,01  . 
,02.0 
102.9 

58.2 

58.7 

59.2 

^9-7 
6o.3 
60.8 
6,.3 
61.8 

73 
74 
75 
76 
77 
78 
79 
8( 

,48.3 
,49. 
,5o.o 
,5o.9 
i5,.7 
i5a.6 
,53.4 
i54. 

89.1 
89.6 

90.  T 
90.6 
91.2 
91.7 
92.2 
92.7 

33 
34 
35 
36 

37 
38 

39 

4o 

199.7 
200.  6 
201.4 

202.3 
203.1 
204-0 

2o4-9 

I2O.O 
120.5 
I2I.O 
I2I.5 
122.  1 
122.6 
123.1 
123.6 

93 

94 

95 
96 

97 
98 

99 

3oo 

25l.2 
252.O 

252.9 

253.7 
254.6 

255.4 
256.3 
257.1 

i5M 

,5i.o 
i5a.5 
1  53.o 

•  ,53.5 
,54.o 
i54-5 

Dist 

De... 

TaiT 

Disi 

Dep 

Lat 

Dis 

Dep 

Lai 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

[For  50  Degrees. 

Puge48]                                                                      TABLE     II. 

Difference  of  Latitude  and  Departure  for  32  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Let. 

Dep 

i 

00.8 

co.  5 

61 

5i.7 

32.3 

121 

102  .6 

64.1 

"787 

i53.5 

95.9 

241 

204.4 

127.7 

2 

01  .7 

01  .  I 

62 

52.6 

32.  9 

22 

io3.5 

64.  7 

82 

i54-3 

96.4 

42 

205.2 

128.2 

3 

02.5 

01  .6 

63 

53.4 

33.4 

23 

io4.3 

65.2 

83 

i55.2 

97.0 

43 

206.  1 

128.8 

4 

o3.4 

02.  i 

64 

54-3 

3'3.9 

24 

IO5.2 

65.7 

84 

1  56.o 

97-5 

44 

206.9 

I29.3 

5 

04.2 

02  .6 

65 

55.i 

34.4 

25 

106.0 

66.2 

85 

1  56.  o 

98.0 

45 

207.8 

129.8 

6 

o5.i 

03.2 

66 

56.o 

35.o 

26 

106.9 

66.8 

86 

i57.7 

98.6 

46 

208.6 

i3o.4 

7 

05.9 

o3.7 

67 

56.8 

35.5 

27 

107.7 

67.3 

87 

i58.6 

99.1 

47 

209.5 

i3o.9 

8 

06.8 

04.2 

68 

57-7 

36.o 

28 

108.6 

67.8 

88 

1  59.4 

99.6 

48 

210.3 

i3i.4 

9 

07.6 

04.8 

69 

58.5 

36.6 

29 

109.4 

68.4 

89 

i6o.3 

1OO.2 

49 

21  I  .2 

I3..G 

10 

o8.5 

o5.3 

70 

59.4 

37.i 

3o 

110.2 

68.9 

9° 

161.1 

100.7 

5o 

212.0 

j32.5 

ii 

09.3 

o5.8 

7i 

60.2 

37.6 

i3i 

III  .1 

69.4 

191 

162.0 

101.2 

261 

21  2.9 

1  33.o 

12 

10.2 

06.4 

72 

61.1 

38.2 

32 

III  .9 

69.9 

92 

162.8 

101-7 

52 

2.1  3.7 

i33.5 

i3 

II  .0 

06.9 

73 

61  .9 

38.7 

33 

112.8 

70.5 

93 

i63.7 

102.3 

53 

214.6 

,34.i 

i4 

II  .9 

07.4 

74 

62.8 

39.2 

34 

ii3.6 

71.0 

94 

i64.5 

102.8 

54 

21  5.4 

1  34  .6 

i5 

12.7 

07.9 

75 

63.6 

39.7 

35 

n4.5 

7i.5 

P 

i65.4 

io3.3 

55 

216.3 

i35.i 

16 

i3.6 

o8.5 

76 

64.5 

4o.3 

36 

n'5.3 

72.1 

96 

166.2 

103.9 

56 

217.1 

i35.7 

17 

i4-4 

09.0 

77 

65.3 

4o.8 

37 

116.2 

72.6 

97 

167.1 

io4-4 

57 

217.9 

i3'6.2 

18 

i5.3 

09.5 

78 

66.1 

4i.3 

38 

117.0 

73.i 

98 

167.9 

104.9 

58 

2l8.8 

1  36.7 

19 

16.1 

10.  I 

79 

67.0 

41.9 

39 

117,9 

73.7 

99 

168.8 

io5.5 

59 

219.6 

l37.2 

20 

17.0 

10.6 

80 

67.8 

42.4 

4o 

,18.7 

74-2 

200 

169.6 

1  06.0 

60 

220.5 

i37.8 

21 

17.8 

ii  .1 

81 

68.7 

42.9 

Mi 

1  19.6 

74-7 

201 

170.5 

io6.5 

261 

T2~iTJ 

i3-8.3 

22 

18.7 

11.7 

82 

69.5 

43.5 

42 

120.4 

75.2 

02 

i7i.3 

107.0 

62 

222.2 

i38.8 

23 

19.5 

12.2 

83 

70.4 

44.o 

43 

121.  3 

75.8 

o3 

I72.2 

107.6 

63 

223.0 

i39.4 

24 

20.4 

I2.7 

84 

71.2 

44.5 

44 

I  22.  I 

76.3 

o4 

i73.o 

108.  i 

64 

2.23-9 

i399 

25 

21.2 

13.2 

85 

72.1 

45.o 

45 

123.0 

76.8 

o5 

i73.8 

1  08  .6 

65 

224-7 

1  4o-4 

26 

22.0 

i3.8 

86 

72.9 

45.6 

46 

123.8 

77-4 

06 

174.7 

109.2 

66 

225.6 

i4i-o 

27 

22.9 

i4.3 

87 

73.8 

46.i 

47 

124.7 

77-9 

07 

175.5 

109.7 

67 

226.4 

i4i.5 

28 

23.7 

i4.8 

88 

74.6 

46.6 

43 

125.5 

78.4 

08 

176-4 

I  IO.2 

68 

227.3 

142.0 

29 

24.6 

i5.4 

89 

75.5 

47-2 

49 

126.4 

79-° 

09 

177.2 

1  10.8 

69 

228.1 

142.5 

3o 

25.4 

i5.9 

9° 

76.3 

47-7 

5o 

127.2 

79-5 

10 

178.  i 

iii.3 

70 

229.0 

i43.i 

3j 

26.3 

16.4 

91 

77.2 

48.2 

i5i 

128.1 

80.0 

211 

178.9 

ii  i.  8 

271 

229.8 

i43.6 

32 

27.1 

17.0 

92 

78.0 

48.8 

52 

128.9 

8o.5 

12 

179.8 

112.3 

72 

230.7 

1  44.i 

33 

28.0 

I-.5 

93 

78.9 

49-3 

53 

129.8 

81.1 

13 

180.6 

112.9 

73 

23i.5 

144.7 

34 

28.8 

18.0 

94 

79-7 

49.8 

54 

i3o.6 

81.6 

i4 

i8i.5 

ii3.4 

74 

232.4 

i45.2 

35 

29.7 

i8.5 

95 

80.6 

5o.3 

55 

i3i.4 

82.1 

i5 

182.3 

1  13.9 

75 

233.2 

i45.7 

36 

3o.5 

19.1 

96 

8i.4 

5o.o 

56 

1  31.3 

82.7 

16 

i83.2 

1  14-5 

76 

234.1 

1  46.3 

37 

3i.4 

19.6 

97 

€2.3 

5i.4 

57 

i33.i 

83.2 

i? 

184.0 

1  1  5.0 

77 

234.9 

1  46.  8 

38 

32.2 

20.  I 

98 

83.i 

5i.9 

58 

1  34.o 

83.7 

18 

184.9 

n5.5 

78 

2.35.8 

1.47.3 

39 

33.i 

20.7 

99 

84.0 

52.5 

59 

1  34.8 

84.3 

19 

185.7 

1  1  6.  i 

79 

236.6 

i47-8 

4o 

33.9 

21  .2 

100 

84.8 

53.o 

60 

i35.7 

84.8 

20 

186.6 

ii  6.6 

80 

237.5 

i48.4 

4i 

34.8 

21.7 

101 

85.7 

53.5 

161 

1  36.  5 

"85TT 

221 

187.4 

117.1 

281 

238.3 

148.9 

42 

35.6 

22.3 

02 

86.5 

54.1 

62 

i37.4 

85.8 

22 

i88.3 

1  17.6 

82 

239.1 

149.4 

43 

36.5 

22.8 

o3 

87.3 

54.6 

63 

i38.2 

86.4 

23 

189.1 

I  I  8.  2 

83 

240.0 

1  5o.o 

44 

37.3 

23.3 

04 

88.2 

55.i 

64 

1  39.  i 

86.9 

24 

190.0 

ii8.7 

84 

240.8 

i5o.5 

45 

38.2 

23.8 

o5 

89.0 

55.6 

65 

i39.9 

87.4 

25 

190.8 

119.2 

85 

a4i-7 

iSi.o 

46 

39.0 

24.4 

06 

89.9 

56.2 

66 

i4o.8 

88.0 

26 

191.-; 

119.8 

86 

242.5 

i5i.6 

4? 

39.9 

24.9 

07 

90.7 

56.7 

67 

i4i.6i88.5 

27 

192.5 

1  20.  3 

87 

243.4 

I52.I 

48 

40.7 

25.4 

08 

91  .6 

57.2 

68 

i42.5 

89.0 

28 

1  93.4 

120.8 

88 

244.2 

i52.6 

49 

4i.6 

26.0 

09 

92.4 

57.8 

69 

143.3 

89.6 

29 

194.2 

I  2  I  .4 

89 

245.1 

1  53.i 

5o 

4'->.  4 

26.5 

10 

93.3 

58.3 

7° 

144.2 

90  .  i 

3o 

195.1 

I2I-9 

9° 

245.9 

,53.7 

5i 

43.3 

27.0 

1  1  1 

94.1 

58.8 

171 

i45.o 

90'.  6 

23l 

195.9 

122.4 

291 

246.8 

i54,2 

52 

44.i 

27.6 

12 

95.0 

59.4 

72 

i45.9 

91.1 

32 

1  96-7 

122.9 

92 

247.6 

.54-7 

53 

44-9 

28.1 

i3 

95.8 

59.9 

73 

i46.7 

91  .7 

33 

19-7.6 

123.5 

93 

248.5 

i55.3 

54 

45.8 

28.6 

i4 

96.7 

60.4 

74 

i47-6 

92.2 

34 

198.4 

124.0 

94 

249.3 

i55.8 

55    46.6 

29.1 

i5 

97-5 

60.9 

75 

148.4 

92.7 

35 

199.3 

124.5 

95 

25O.2 

1  56.3 

56 

4?-5 

29.7 

16 

98.4 

6i.5 

76 

149.3 

93.3 

36 

200.1 

125.  I 

96 

25l  .0 

i56.9 

57 

48.3 

3o.2 

17 

99.2 

62  .0 

77 

i5o.  i 

93.8 

37 

2O  I  .O 

125.6 

97 

25l  .9 

i57.4 

58 

49.2 

So.? 

18 

100.  I 

6*.  5 

78 

i5i  .0 

94-3 

38 

201.8 

126.1 

98 

252.7 

157.9 

59 

5o.o 

3i.3 

'9 

100.9 

63.i 

79 

i5i.8 

94.9 

39 

2O2.7 

I26.7 

99 

253.6 

i58.4 

60 

50.9 

3i.8 

20 

101  .8 

63.6 

80 

1  52.  6 

95-4 

4o 

2o3.5 

I27.2 

3oo 

254-4 

159.0 

Dial; 

Do  p. 

Lat 

Dist 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  58  Degrees. 

TABLE     II.                                                                  [Page  10 

Difference  of  Latitude  and  Departure  for  33  Degrees. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

2 

3 
4 
5 
6 

8 

00.8 
01.7 

02.5 

o3.4 
04.2 
c5.o 

o5.9 
06.7 

oo.5 

01  .  I 

01  .6 

02.2 
O2  .7 

o3.3 
o3.8 
o4-4 

6l 

62 
63 

64 
65 
66 
67 
68 

5i.a 

52.0 

52.8 
53.7 
54.5 
55.4 
56.2 
57.o 

33.2 
33.8 
34-3 
34-9 
35.4 
35.9 
36.5 
37.o 

22 
23 
24 
25 

26 

2-7 

28 

iOI  .5 
102.3 
103.2 

104.0 

.04.8 

105.7 
io6.5 
107.3 

65.  9 

66.4 
67  .  o 
67.5 
68.. 
68.6 
69.2 
69.7 

181 

82 
83 

84 
85 
86 
87 
88 

i5..8 
1  52.  6 
i53.5 
1  54.3 
i55.2 
1  56.o 
i56.8 

.57.7 

98.6 
99.1 
99-7 

100.2 

100.8 
ioi.3 
101.8 
102.4 

42 
43 
44 
45 
46 
47 

202.  i 

2O3.O 

2o3.8 
204.6 
2o5.5 

206.3 
207.2 
208.0 

~i~37.3 
i3i.8 
.32.3 
132.9 

1  33.4 
.34.0 
1  34.5 
i35.i 

9 

07.5 

04.9 

69 

57-9 

37.6 

29 

108.2 

70.3 

89 

1  58.  5 

102.9 

49 

208.8 

1  35.  6 

10 

08.4 

o5.4 

70 

58.7 

38.i 

3o 

109.0 

70.8 

9° 

i59.3 

io3.5 

5o 

209.7 

1  36.  2 

1  1 

39.2 

06.0 

7' 

59.5 

38.7 

i3i 

109.9 

71.3 

19. 

160.2 

104.0 

25. 

210.5 

.36.7 

12 

10.  I 

o6.5 

72 

60.4 

39.2 

32 

1  10.7 

71.9 

92 

161.0 

104.6 

57 

211.3 

.37.2 

i3 

10.9 

07.1 

73 

61.2 

39.8 

33 

u  i  .5 

72.4 

93 

161  .9 

io5.i 

53 

212.2 

.37.8 

i4 

u.  7 

07.6 

74 

62.1 

4o.3 

34 

112.4 

73.o 

162.7 

105.7 

54 

2  I  3.0 

i38.3 

i5 

16 

12.6 

i3.4 

08.2 

08.7 

76 

62   o 
63.? 

4o.8 

4i.4 

35 
36 

II3.2 

n4.i 

73.5 

74.i 

$ 

i63.5 

164.4 

106.2 
106.7 

55 
56 

2i3.9 

214.7 

.38.9 
139.4 

17 

t4.3 

09.3 

77 

64.6 

4i  .9 

37 

114.9 

74.6 

97 

i65.2 

107.3 

57 

2i5.5 

i4o.o 

18 

i5.  i 

09.8 

78 

65.4 

42.5 

38 

ii5.7 

75.2 

98 

166.  i 

107.8 

58 

216.4 

i4o.5 

19 

I5.Q 

io.3 

Z9 

66.3 

43.o 

39 

116.6 

75.7 

99 

166.9 

108.4 

59 

217.2 

20 

16.8 

10.9 

80 

67.1 

43.6 

4o 

117.4 

76.2 

200 

167-7 

108.9 

60 

2.8.1 

i4i.6 

21 

17.6 

u.  4 

81 

S'9 

44.i 

i4i 

ii8.3 

76.8 

201 

168.6 

109.0 

26. 

218.9 

.42.2 

22 

i8.5 

12.0 

82 

68.8 

44-7 

42 

119.. 

77-3 

O2 

169.4 

I  10.0 

62 

219.7 

142.7 

23 

19.3 

12.5 

83 

69.6 

45.2 

43 

119.9 

77-9 

o3 

170.3 

1  10.6 

63 

22O.6 

143.2 

24 

20.1 

i3.i 

84 

70.4 

45.7 

44 

120.8 

78.4 

o4 

171.1 

jii.i 

64 

221.4 

i43.8 

25 

21  .0 

i3.6 

85 

71.3 

46.3 

45 

121  .6 

79.0 

o5 

171.9 

111.7 

65 

222.2 

i44-3 

26 

21.8 

14.2 

86 

72.1 

46.8 

46 

122.4 

79-5 

06 

172.8 

112.  2 

66 

223.1 

144.9 

27 

22  ,6 

'4.7 

87 

73.o 

47-4 

47 

123.3 

80.  i 

07 

i73.6 

II2.7 

67 

223-9 

i45.4 

28 

23.5 

15.2 

88 

73.8 

47-9 

48 

124.1 

80.6 

08 

174.4 

u3.3 

68 

224-8 

1460 

29 

24.3 

i5.8 

89 

74-6 

48.5 

49 

125.0 

81.2 

09 

i75.3 

u3.8 

69 

225.6 

i46.5 

3o 

25.2 

i6.3 

90 

75.5 

49  .0 

5o 

125.8 

81.7 

10 

176.1 

114.4 

70 

226.4 

147.1 

3i 

26.0 

16.9 

91 

76.3 

49.6 

i5. 

126.6 

82.2 

21  I 

177.0 

114.9 

271 

227.3 

147.6 

32 

26.8 

17-4 

92 

77-2 

5o.i 

52 

127.5 

82.8 

12 

177.8 

u5.5 

72 

228.1 

1  48.  i 

33 

27-7 

18.0 

93 

78.0 

5o.7 

53 

128.3 

83.3 

i3 

178.6 

1  1  6.0 

73 

229.0 

1  48.  7 

34 

28.5 

i8.5 

94 

78.8 

51:2 

54 

129.2 

83.9 

i4 

179.5 

116.6 

74 

229.8 

149.2 

35 

29.4 

19.1 

95 

79-7 

5l.7 

55 

i3o.o 

84-4 

i5 

i8o.3 

117.1 

75 

23o.6 

149.8 

36 

JO.  2 

19.6 

96 

8o.5 

52.3 

56 

i3o.8 

85.o 

16 

181.2 

117.6 

76 

23i.5 

i5o.3 

37 

Jt.O 

20.2 

97 

81.4 

52.8 

57 

i3i.7 

85.5 

17 

182.0 

118.2 

77 

232.3 

i5o.9 

38 

Ji.9 

20.7 

98 

82.2 

53.4 

58 

i32.5 

86.1 

18 

182.8 

118.7 

78 

233.2 

i5..4 

09 

32.7 

21  .2 

99 

83.o 

53.9 

59 

i33.3 

86.6 

in 

183.7 

119.3 

79 

234.0 

l52.0 

4o 

33.5 

21.8 

100 

83.  9 

54.5 

60 

i34.2 

87.1 

20 

i84.5 

119.8 

80 

234-8 

.52.5 

4i 

34-4 

22.3 

IOI 

84-7 

55  o 

.6. 

i35.o 

87.7 

221 

i85.3 

120.4 

281 

235.7 

1  53.o 

42 

35.2 

22.9 

02 

85.5 

55.6 

67 

i35.9 

88.2 

22 

186.2 

120.9 

82 

236.5 

1  53.6 

43 

36.i 

23.4 

63 

86.4 

56., 

6.3 

i36.7 

88.8 

2.3 

187.0 

121.5 

83 

237.3 

1  54.  i 

44 

36.9 

24.0 

o4 

87.2 

56.6 

64 

i37.5 

89.3 

24 

18.7.9 

122.0 

84 

238.2 

1  54.7 

45 

37-7 

24.5 

o5 

88.1 

57.2 

65 

i38.4 

89.9 

25 

188.7 

122.5 

85 

239.0 

i55.2 

40 

38.6 

25.1 

06 

88.9 

57.7 

66 

l39.2 

90.4 

26 

189.5 

123.1 

86 

239-9 

1  55.8 

47 

39-4 

25.6 

07 

89-7 

58.3 

67 

91.0 

27 

190.4 

123.6 

87 

240.7 

1  56.3 

48 

4o.3 

26.1 

08 

90.6 

58.8 

68 

140.9 

9i.5 

28 

191.2 

124.2 

88 

241.5 

i56.9 

49 

4i  .  i 

26.7 

°9 

91  .4 

59-4 

69 

1*1.7 

92.0 

29 

192.1 

124.7 

89 

2^42.4 

i57.4 

5o 

4i  .9 

27.2 

10 

92.3 

59.9 

7<> 

142.6 

92.6 

3o 

192.9 

125.3 

9° 

243.2 

i57-9 

5i 

42.8 

27.8 

i  .  i 

93.i 

6o.5 

171 

i43.4 

93.1 

23l 

193.7 

125,8 

29. 

244-1 

.58.5 

52 

43.6 

28.3 

12 

93.9 

6.  .0 

72 

i44.3 

93.7 

32 

194.6 

126.4 

92 

244.9 

i59.o 

53 

44-4 

28.9 

r3 

94.8 

61   5 

73 

i45.i 

94.2 

33 

.95.4 

126.9 

93 

245.7 

169.6 

54 

45.3 

29.4 

i4 

95.6 

62.1 

74 

94.8 

34 

196.2 

127.4 

94 

246.6 

1  60.  i 

55 

46.i 

3o.o 

i5 

96.4 

62  6 

75 

.46.8 

95.3 

35 

197.1 

128.0 

95 

247-4 

160.7 

56 

47.0 

3o.5 

.6 

97-3 

63.2 

76 

i47-6 

36 

197.9 

128.5 

96 

248.2 

161.2 

57 
58 

47.8 
48.6 

3i.o 
3..  6 

17 
18 

98., 
99.0 

63.7 
64  .  3 

77 
78 

i48.4 
.49.3 

96.4 
96.9. 

37 
38 

198.8 
199.6 

,29.1 

129.6 

97 
98 

249-1 
2499 

161.8 
162.3 

6? 

49.5 
5o.3 

32.1 

32.7 

'9 

20 

99.8 
100.6 

64.8 

65.4 

79 
80 

iSo.i 
iSi.o 

97-5 
98.0 

39 
4o 

200.4 

201.3 

l3o.2 

i3o.7 

99 
3oo 

25o.8 
2S..6 

162.8 
1  63.  4 

Dist.l  Dep. 

Lat. 

)ist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

[For  57  Degrees. 

I'aguaOj                                                                         TABLE     11. 

Difference  of  Latitude  and  Departure  for  34  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

i 

00.8 

00.6 

61 

5o.6 

34.1 

121 

i  oo  .  3 

67.7 

181 

iSo.i 

I  O  I  .  2 

241 

199.8 

134.8 

2 

01  .7 

01  .  I 

62 

5i.4 

34-7 

22 

101  .  1 

68.2 

82 

i5o.9 

101.8 

4? 

200  .6 

135.3 

3 

02.5 

01.7 

63 

52.2 

35.2 

2.3 

102.0 

68.8 

83 

i5i  .7 

102  .3 

43 

201.5    136.9 

4 

o3.3 

02.2 

64 

53.i 

35.8 

24 

102.8 

69.3 

84 

iSa.5 

102.9 

44 

202.3!  i36.4 

5 

04.  i 

02.8 

65 

53.9 

36.3 

25 

io3..6 

69.9 

85 

i53.4 

io3.5 

45 

2O3.I 

1  37.0 

6 

o5.o 

o3.4 

66 

54.7 

36.9 

26 

ic4.5 

70.5 

86 

i54.2 

104.0 

46 

203.9 

1  37.6 

7 

o5.8 

o3  .  9 

67 

55.5 

37-5 

27 

io5.3 

71.0 

87 

1  55.o 

io4-6 

47 

204.8 

i38.i 

8 

06.6 

o4-5 

.68 

56.4 

38.o 

28 

106.1 

71.6 

88 

i55.9 

io5.i 

48 

2o5.6 

1  38.7 

9 

07.5 

o5.o 

69 

57.2 

38.6 

?9 

106.9 

72.1 

89 

1  56.7 

105.7 

49 

206.4 

139.2 

IP 

o8.3 

o5.6 

7" 

58.o 

39.i 

3o 

107.8 

72.7 

90 

:57.5 

100.2 

5o 

207.3 

i39.8 

1  1 

09.1 

06.2 

71 

58.9 

39-7 

i3i 

108.6 

73.3 

191 

i58.3 

1  06.8 

25l 

208.1 

i4o.4 

12 

09.9 

06.7 

72 

59-7 

4o.3 

32 

109.4 

73.8 

92 

l59.2 

107.4 

52 

208.9 

140.9 

i3 

10.8 

07-3 

73 

6o.5 

4o.8 

33 

no.  3 

74-4 

93 

160.0 

107.0 

53 

209.7 

i4i.5 

i4 

n.  6 

07.8 

74 

6i.3 

4i.4 

34 

n  i  .1 

74-9 

94 

160.8 

i  o8.5 

54 

210.6 

142.0 

i5 

12.4 

08.4 

75 

62.2 

41.9 

35 

in  .9 

75.5 

95 

161.7 

109.0 

55 

21  1.4 

142.6 

16 

i3.3 

08.  9 

76 

63.o 

42.5 

36 

112.  7 

76.1 

96 

162.5 

109.6 

56 

212.2 

i43.2 

17 

14.1 

09-5 

77 

63.8 

43.i 

37 

n3.6 

76.6 

97 

.63,3 

I  10.2 

57     2l3.I 

i43.7 

18 

14.9 

10.  I 

78 

64.7 

43.6 

38 

u4-4 

77-2 

98 

164.1 

1  10.7 

58    2i3.9 

144.3 

19 

i5.8 

10.6 

79 

65.5 

44.2 

39 

II5.2 

77-7 

99 

i65.o 

ui.3 

59    214.7 

144.8 

20 

16.6 

II  .2 

80 

66.3 

44-7 

4o 

1  16.  i 

78.3 

200 

i65.8 

1  1  1.  8 

6o'2i5.5 

i45.4 

21 

17-4 

II.7 

81 

67.2 

45.3 

i4i 

1  16.9 

78.8 

201 

1  66.6 

1  12.4 

261    216.4 

145.9 

22 

18.2 

12.3 

82 

68.0 

45.9 

42 

117.7 

79-4 

02 

167.5 

n3.o 

62    217.2 

i46.5 

23 

19.1 

12.9 

83 

68.8 

46.4 

43 

118.6 

80.0 

03 

i68.3 

ii3.5 

63    218.0 

147.1 

24 

19.9 

i3.4 

84 

69.6 

47.0 

44 

119.4 

8o.5 

o4 

169.1 

n4.i 

64 

218.9 

147.6 

25 

20.7 

i4-o 

85 

7o.5 

47-5 

45 

120.2 

81.1 

o5 

170.0 

n4.6 

65 

219.7 

148.2 

26 

21  .6 

i4.5 

86 

7i.3 

48.1 

46 

121  .0 

81.6 

06 

170.8 

11  5.  2 

66  '  220.5 

148.7 

27 

22.4 

87 

72.1 

48.6 

47 

121  .9 

82.2 

07 

171.6 

ii5.8 

67 

221.4 

149.3 

28 

23.2 

i5.7 

88 

73.o 

49.2 

48 

122.7 

82.8 

08 

172.4 

n6.3 

68 

222.2 

149.9 

29 

24.0 

16.2 

69 

73.8 

49.8 

49 

123.5 

83.3 

09 

173.3 

116.9 

69 

223.0 

i5o.4 

3o 

24.9 

16.8 

90 

74-6 

5o.3 

5o 

124-4 

83.  9 

10 

174.1 

II7-4 

70 

223.8 

iSi.o 

3i 

25.7 

17.  3: 

91 

75.4 

5o.9 

i5i 

125.2 

84-4 

211 

174.9 

118.0 

271 

224.7 

i5i.5 

32 

26.5 

17.9 

92 

76.3 

5i.4 

52 

I26.O 

85.o 

12 

175.8 

ii8.5 

72 

225.5 

iSa.i 

33 

27.4 

18.5: 

93 

77-i 

52.0 

53 

126.8 

85.6 

i3 

176.6 

119.1 

73 

226.3 

l52.7 

34 

28.2 

19.0 

94 

77-9 

52.6 

54 

127.7 

86.1 

i4 

177.4 

119.7 

74 

227.2 

i53.2 

35 

29.0 

19.6 

95 

78.8 

53.i 

55 

128.5 

86.7 

i5 

178.2 

120.2 

228.0 

i53.8 

36 

29.8 

20.  I 

96 

79.6 

53.7 

56 

129.3 

87.2 

16 

179.1 

120.8 

76 

228.8 

i54.3 

37 

3o.7 

2C).7 

97 

80.4 

54-2 

57 

130.2 

87.8 

17 

179.9 

I2I.3 

77 

229.6 

1  54-9 

38 

3i.5 

21.2 

98 

81.2 

54.8 

58 

i3i  .0 

88.4 

18 

180.7 

121.9 

78 

23o.5 

i55.5 

39 

32.3 

21.8 

99 

82.1  |55.4 

59 

i3i.8 

88.9 

19 

181.6 

122.5 

79 

23  1.3 

1  56.o 

4o 

33.2 

22.4 

IOO 

82.9 

55.9 

60 

i3a.6 

89.5 

20 

182.4 

123.0 

80 

232.1 

i56.6 

4i 

34-0 

22.9 

101 

83.7 

56.5 

161 

1  33.  5 

90.0 

221 

i83.2 

i  23.6 

281 

233.o 

1  57.i 

42 

34.8 

23.5 

02 

84.6 

57.o 

62 

1  34.  3 

90.6 

22 

184.0 

124.1 

82 

233.8 

1  57.7 

43 

3b.6 

24.0 

o3 

85.4 

67.6 

63 

1  35.  i 

91.1 

23 

184.9 

124.7 

83 

234.6 

1  58.3 

44 

36.5 

24.6 

04 

86.2 

58.2 

64 

1  36.o 

91.7 

24 

185.7 

125.3 

84 

235.4 

1  58.8 

45 

37.3 

25.2 

o5 

87.0 

58.  7 

65 

1  36.8 

92-3 

25 

i86.5 

125.8 

85 

236.3 

159.4 

46 

38.i 

25.7 

06 

87.9 

59.3 

66 

i37.6 

92.8 

26 

187.4 

126.4 

86 

237.I 

47 

39.o 

20.3 

07 

88.7 

59.8 

67 

1  38.  4 

93.4 

27 

188.2 

126.9 

87 

237.9 

i6a1 

48 

39.8 

26.8 

08 

89.5 

60.4 

68 

139.3 

y3.o 

28 

i89.o 

127.5 

88 

238.8 

161.0 

49 

4o.6 

27.4 

°9 

90.4 

61  .0 

69 

i4o.  i 

94.5 

29 

i89.8 

128.1 

89 

239.6 

161.6 

5o 

4  (.5 

28.0 

to 

91.2 

6i.5 

7° 

140.9 

95.i 

3o 

190.7 

128.6 

9° 

240.4 

162.2 

5i 

42.3 

28.5 

ii  i 

92.0 

62.1 

171 

i4i.8 

95.6 

23l 

191.5 

1  29.2 

291 

24l.2 

l62.7 

52 

43.i 

29.1 

12 

92.9 

62.6 

72 

142.6 

96.2 

32 

192.3 

1  29.7 

92 

242.1 

i63.3 

53 

43.9 

29.6 

i3 

63.2 

73 

i43.4 

96.7 

33 

193.2 

i3o.3 

93 

242-9 

1  63  .8 

b4 

44.8 

3()  .  2 

i4 

94.5 

63.  7 

74 

i44.3 

97.3 

34 

194.0 

130.9 

243.7 

i64.4 

55 

45.6 

3o.8 

i5 

95.3 

64.3 

75 

i45.i 

97-9 

35 

194.8 

i3i.4 

95 

244.6 

i65.o 

56 

46.4    3i.3 
47-3l3i.9 

16 

'7 

96.2 
97.0 

64-9 
65.4 

76 

77 

i45.9 
1  46.  7 

98.4 
99.0 

36 

37 

196!? 

l32.O 

96 

97 

245.4 

246.2 

i65.5 
166.  i 

58 

48.i 

32.4 

18 

97-8 

66.0 

78 

147.6 

995 

38 

197.3 

i33.i 

98 

247.1  ,  1  66.6 

69 

48.  9 

33.o 

'9 

98.7 

66.5 

79 

148.4 

IOO.  I 

39 

198.1 

1  33.  6 

99 

2479 

l67.2 

60 

49-7 

33.6 

20 

99.5 

67.i 

80 

149.2 

100.7 

4o 

199.0 

1  34.2 

3oo 

248.7 

167.8 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep.  1    Lat. 

Dist. 

Dep. 

Lat 

Dist. 

DeP. 

Lat. 

[For  56  Degrees. 

TABLE   IL                                             fp8g«;i 

Difference  of  Latitude  and  Departure  for  35  Degrees. 

Disl. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat 

Dep. 

Dist. 

Lat. 

Der. 

Dist. 

Lat. 

Dep. 

I 

00.8 

00.6 

61 

5o.o 

3b.o 

121 

99.1 

69.4 

181 

i48.3 

io3.8 

24. 

197.4 

1  38.  2 

2 

ot  .6 

01  .1 

62 

5o.8 

35.6 

22 

99.9 

70.0 

82 

i49-i 

1044 

42 

198.2 

i38.8 

3 

4 

02.  5 
o3.3 

01.7 

02.3 

63 
64 

5i.6 

52.4 

36.i 

36.7 

23 

24 

100.8 
loi  .6 

7o.5 
71.1 

83 

84 

i49-9 
i5o.7 

io5.o 
io5.5 

43 

M 

199.1 
'99-9 

139.4 
i4o.o 

i> 

o4.i 

02.9 

65 

53.2 

37.3 

25 

102.4 

71.7 

85 

i5i.5 

106.1 

45 

200.7 

i4o.5 

b 

04.9 

o3.4 

66 

64.1 

37-9 

26 

103.2 

72.3 

86 

i52.4 

106.7 

46 

201.5 

i4i.i 

7 
8 

ot>.7 
06.6 

o4.o 
o4-6 

b7 

68 

54.9 

55.7 

38.4 
39.o 

27 
28 

104.0 
104.9 

72.8 

73.4 

87 
88 

i53.2 
i54-o 

107.3 
107.8 

47 
48 

202.3 
203.1 

i4'-7 

l4^.2 

9 

07.4 

05.2 

69 

56.5 

39.6 

29 

105.7 

74-0 

89 

1  54-8 

108.4 

4o 

204.0 

1  42.  8 

10 

08.2 

05/7 

70    57.3 

40.2 

3o 

io6.5 

74.6 

9° 

1  55.6 

109.0 

5o 

204.8 

i43.4 

ii 

09.0 

o6.3 

7i 

58.2 

40.7 

i3i 

107.3 

75.1 

191 

i56.5 

109.6 

2.5  I 

ao5.6 

1  44-0 

12 

09.8 

06.9 

72 

59.o 

4i.3 

32 

108.1 

75-7 

92 

•  57.3 

I  IO.I 

52 

206.4 

i44-5 

r3 

10.6 

07.5 

73 

59.8 

4i.9 

33 

108.9 

76.3 

93 

i58.[ 

1  10.7 

53 

207.2 

i45.i 

i4 

n.5 

08.0 

74 

60.6 

42.4 

34 

109.8 

76.9 

94 

i58.9 

1  1  1.3 

54 

208.1 

i457 

i5 

12.3 

08.6 

75 

61.4 

43.o 

35 

no.  6 

77-4 

95 

i59-7 

1  1  1.  8 

55 

2.08.9 

i46.3 

16 

i3.i 

09.2 

76 

62.3 

43.6 

36 

in  .4 

78.0 

96 

160.6 

1  12.4 

56 

2007 

1  46.8 

'7 

i3.9 

09.8 

77 

63.i 

44.2 

37 

112.  2 

78.6 

97 

161.4 

1  1  3.o 

57 

210.5 

147.4 

18 

'4-7 

io.3 

78 

63.9 

44-7 

38 

u3.o 

79.2 

98 

162.2 

1  1  3.6 

58 

2II.3 

1  48.o 

'9 

i5.6 

IO.O 

79 

64-7 

45.3 

39 

113.9 

79-7 

99 

1  63.o 

i  i4-i 

59 

212.2 

1  48.  6 

20 

16.4 

ii.  5 

80 

65.5 

45.9 

4o 

114.7 

8o.3 

200 

i63.8 

114.7 

60 

2  1  3.0 

149.1 

21 

17.2 

12.0 

81 

66.4 

46.5 

i4i 

ii5.5 

80.9 

201 

164.6 

ii5.3 

261 

213.8 

i49-7 

22 

18.0 

12.6 

82 

67.2 

/i-.o 

42 

ii6.3 

81.4 

O2 

i65.5 

1  1  6.9 

67 

214-6 

i5o.3 

23 

18.8 

13.2 

83 

68.0 

47-6 

43 

117.1 

82.0 

o3 

i66.3 

116.4 

63 

2i5.4 

i5o.9 

24 

19.7 

i3.8 

84 

68.8 

48.2 

44 

118.0 

82.6 

o4 

167.1 

1  17.0 

64 

216.3 

:5i.4 

25 

20.5 

i4.3 

85 

69.6 

48.8 

45 

118.8 

83.2 

o5 

l67-9 

117.6 

65 

217.1 

1  52.0 

26 

2C.3 

14.9 

86 

70.4 

49.3 

46 

119.6 

83.7 

06 

168.7 

118.2 

66 

217-9 

i526 

27 

22  .  I 

i5.5 

87 

7i.3 

49.9 

47 

12.0.4 

84-3 

07 

169.6 

118.7 

67 

218.7 

1  53.i 

28 

22.9 

16.1 

88 

72.1 

5o.5 

48 

121  .2 

84.9 

08 

170.4 

ii9.3 

68 

2I9.5 

i53.7 

29 

23.8 

16.6 

89 

72.9 

5i.o 

49 

122.  I 

85.5 

09 

171.2 

11  9-9 

69 

220.4 

1  54-3 

3o 

24.6 

17.2 

90 

73.7 

5i.6 

5o 

122.9 

86.0 

10 

172.0 

120.5 

70 

221.2 

1  54-9 

3i 

25.4 

17.8 

9i 

74.5 

52.2 

i5i 

123.7 

86.6 

211 

172.8 

I  21.0 

271 

222.0 

i55.4 

32 

26.2 

18.4 

92 

75-4 

52.8 

52 

124.5 

87.2 

12 

173.7 

I  2  1.  6 

72 

222.8 

1  56.o 

33 

27.0 

18.9 

93 

76.2 

53.3 

53 

125.3 

87.8 

i3 

174-5 

122.2 

73 

223.6 

1  56.6 

34 

27.9 

19.5 

94 

77.0 

53.9 

54 

126.1 

88.3 

i4 

i75.3 

122.7 

74 

224.4 

157.2 

35 

28.7 

20.  i 

95 

77-8 

54.5 

55 

127.0 

88.9 

i5 

176.1 

123.3 

75 

225.3 

157.7 

36 

29.5 

20.6 

96 

78.6 

55-.  i 

56 

127.8 

89.5 

16 

176.9 

123.9 

76 

226.1 

i58.3 

37 

3o.3 

21.2 

97 

79-5 

55.6 

57 

128.6 

90.1 

17 

177-8 

J24.5 

77 

226.9 

i58.9 

38 

3i.i 

21.8 

98 

8o.3 

56.2 

58 

129.4 

90.6 

18 

178.6 

125.0 

78 

227.7 

i59.5 

39 

3i.o 

22.4 

99 

81.1 

56.8 

59 

i3o.2 

91.2 

X9 

179.4 

125.6 

79 

228.5 

1  60.0 

4o 

32.8 

22.9 

IOO 

81.9 

57-4 

60 

i3i.r 

91.8 

20 

180.2 

126.2 

80 

229.4 

160.6 

4i 

33.6 

23.5 

IOI 

82.7 

57-9 

161 

i3i  .9 

92.3 

221 

181.0 

126.8 

281 

230.2 

161.2 

4:* 

34-4 

24.1 

02 

83.6 

58.5 

62 

132.7 

92.9 

22 

181.9 

I27.3 

82 

23  1.  0 

161.7 

43 

35.2 

24.7 

o3 

84.4 

59.i 

63 

i33.fi 

93.5 

23 

182.7 

127.9 

83 

23i.8 

162.3 

44 

36.o 

25.2 

o4 

85.2 

59-7 

64 

i34.3 

94.1 

2.4 

i83.5 

128.5 

84 

232.6 

162.9 

45 

36.9 

25.8 

o5 

86.0 

60.2 

65 

i35.2 

94.6 

25 

i84.3 

129.1 

85 

233.5 

1  63.5 

46 

37.7 

26.4 

06 

86.8 

60.8 

66 

i36.o 

95.2 

26 

i85.i 

129.6 

86 

234.3 

1  64-c 

47 

38.5 

27.0 

07 

87.6 

6l.4 

67 

i36.8 

95.8 

27 

i65.9 

i3o.2 

87 

235.i 

164.6 

48 

39.3 

27.5 

08 

88.5 

61  .9 

68 

i3-r.6 

96.4 

28 

186.8 

i3o.8 

88 

235.9 

i65.2 

49 

4o.  i 

28.1 

°9 

89.3 

62.5 

69 

i38.4 

96.9 

29 

187.6 

i3i.3 

89 

236.7 

1  65  .8 

5o 

4i  .0 

28.7 

10 

90.1 

63.i 

70 

139.3 

97-5 

3o 

188.4 

i3i-9 

9° 

237.6 

i66.3 

Si 

4i.8 

29-3 

n  i 

90.9 

63.7 

171 

i4o.  i 

98.1 

23  I 

189.2 

102.5 

291 

238.4 

166.9 

52 

42.6 

29.8 

12 

91  .7 

64.2 

72 

i4o.9 

98-7 

3?. 

I  OO.u 

1  33.i 

92 

239.2 

167.5 

53 

43.4 

3o.4 

i3 

92.6 

64.8 

73 

MI  -7 

99.2 

33 

100.9 

1  33.6 

93 

240.0 

168.1 

54 

44-2 

3i.o 

i4 

93.4 

65.4 

74 

i42.5 

99.8 

34 

191.7 

i34-2 

94 

240.8 

1  68  .6 

55 

45.i 

3t.5 

T5 

94.2 

66.0 

75 

i43.4 

100.4 

35 

192.5 

.34-8 

95 

24  1.  6 

169.2 

56 

45.9 

32.1 

16 

95.0 

66.5 

76 

144-2 

100.  o 

36 

i93.3 

135.4 

96 

24?  5 

169.8 

5? 

46.7 

32.7 

17 

95.8 

67.1 

77 

i45.o 

loi  .5 

37 

i94.i 

i35.o 

97 

243.3 

170.4 

58 

47.5 

33.3 

18 

96,7 

67.7 

78 

i45.8 

102.  I 

38 

i95.o 

1  36.5 

98 

244.1 

170.9 

59 

48.3 

33.8 

T9 

97-5 

68.3 

79 

i46.6 

102.7 

3o 

.95.8 

l37.T 

39 

a44-9 

171  5 

60 

49.1 

34.4 

20 

98.3 

68.8 

80 

i47-4 

103.2 

4o 

196.6 

137-2 

5oo 

245:7 

172.1 

Dist. 

Den. 

Lat. 

Dist. 

Den. 

Lat. 

Dist.     Dep.  |     Lat. 

Dist. 

Dep. 

Lat. 

Dist.''   Dep.  1   Lat. 

[For  5r>  Degrees 

Page  52]                                                                   TABLE    II. 

Difference  of  Latitude  and  Departure  for  36  Degrees. 

DM. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist.!    Lat    i   Dep. 

!)ist     Lat.  }  Dep. 

i 

00.8 

00.6 

61 

"4b,4 

35.9 

121 

97-9 

71.1 

181 

i46.4  i  106.4 

24  1   195.0!  141.7 

2 

oi  .6 

01  .2 

62 

5o.2    36.4 

22 

98.7 

71  .7 

82 

l4?'2 

IO7.O 

4a    i95.8i  142.2 

3 

02.4 

01.8 

63 

5i.o 

37.o 

23 

99.5 

72.3 

83 

148.1 

io7.6 

43  '196.6  |  142.8 

4 

03.2 

02.4 

64 

5i.8 

37.6 

24 

ioo.3 

•    72.9 

84 

1  48.  9 

108.2 

44  !  i  97-4 

i43.4 

5 

o4-o 

02.9 

65 

52.6 

38.2 

25 

IOI  .1 

73.5 

85 

1^9.7 

108.  7 

45 

198.2 

1  44.0 

6 

o4-9 

o3.5 

66 

53.4 

38.8 

26 

101  .9 

74.i 

86 

l5o.5 

109.3 

46 

199.0 

144.6 

7 

o5.7 

o4.i 

67 

54-2 

39.4 

27 

102.7 

74-6 

87 

i5i.3 

109.0 

47 

199.8 

145.2 

8 

o6.5 

o4-7 

68 

55.o 

4o.o 

28 

io3.6 

75.2 

88 

152.1 

i  io.5 

48 

200  6 

i45.8 

9 

o7.3 

o5.3 

69 

55.8 

4o.6 

29 

io4-4 

75.8 

89 

152.9)  in.  i 

49 

201.4 

i46.4 

10 

08.  i 

05.9 

70 

56.6 

4i.i 

3o 

105.2 

76.4 

9° 

•  53.7 

111.7 

5o 

202.3 

146.9 

ii 

08.  9 

o6.5 

71 

~57.4 

41.7 

i3i 

106.0 

77.0 

191 

154.5 

I  1  2.3 

25  1 

203.1 

147-5 

12 

09.7 

07.1 

72 

58.2 

42.3 

32 

106.8 

77-6 

92 

155.3 

I  I  2.9 

52 

203.9 

i48.i 

i3 

io.5 

07.6 

73 

59.i 

42.9 

33 

107.6 

78.2 

93 

1  56.i 

u34 

53 

204.7 

148.7 

i4 

ii.  3 

08.2 

74 

59.9 

43.5 

34 

108.4 

78.8 

94 

1  56.9 

1  14^> 

54 

205.5 

149.3 

i5 

12.  I 

08.8 

75 

60.7 

44.i 

35 

109.2 

79-4 

95 

i57.8 

114.6 

55 

206.3 

149.9 

16 

12.0 

09.4 

76 

6i.5 

44-7 

36 

I  IO.O 

79-9 

96 

1  58.6 

I  I  5.2 

56 

207.1 

i5o.5 

17 

i3.8 

IO.O 

77 

62.3 

45.3 

37 

no.8 

8o.5 

97 

1  59.4 

110.8 

57 

207-9 

1  5i.i 

18 

i4-6 

10.6 

78 

63.i 

45.8 

38 

in  .6 

81.1 

98 

160.2 

116.4 

58 

208.7 

i5i!e 

19 

i5.4 

II  .2 

79 

63.9 

46.4 

39 

112.  5 

8i.7 

99 

161.0 

I17.0 

59 

209.5 

i5a.a 

20 

16.2 

ii.  8 

80 

64-7 

47-0 

4o 

n3.3 

82.3 

200 

161.8 

1  17.6 

60 

210.3 

1  52  8 

31 

17.0 

12.3 

81 

65.5 

47-6 

i4i 

1  14.1 

82.9 

201 

162.6 

118.1 

261 

21  1.2 

•53-4 

22 

17.8 

12.0 

82 

66.3 

48.2 

42 

114.9 

83.5 

02 

163.4 

118.7 

62 

2120 

1  54.0 

23 

18.6 

i3.5 

83 

67.1 

48.8 

43 

n5.7 

84.1 

o3 

164.2 

119.3 

63 

212.8 

(54.6 

24 

19.4 

14.1 

84 

68.0 

49-4 

44 

n6.5 

84.6 

o4 

1  65.o 

I  19.0 

64 

213.6 

1  55.  2 

25 

2O.  2 

14.7 

85 

68.8 

5o.o 

45 

117.3 

85.2 

o5 

i65.8 

120.5 

65 

2,4-4 

1  55.8 

26 

21  .0 

i5.3 

86 

69.6 

5o.5 

46 

118.1 

85.8 

06 

166.7 

121.  1 

66 

2l5.2 

1  56.4 

27 

21.8 

i5.9 

87 

70.4 

5i  .  i 

47 

118.9 

86.4 

07 

i67.5 

121.  7 

67 

2160 

1  56.9 

28 

22.7 

i6.5 

88 

71.2 

5i.7 

48 

119.7 

87.o 

08 

1  68.  3 

122.3 

68 

2  1  6.8 

157,5 

29 

23.5 

17.0 

89 

72.0 

52.3 

49 

120.5 

87.6 

09 

169.1 

122.8 

69  ,  217.6 

1  58.  i 

3o 

24.3 

17.6 

9° 

72.8 

52.9 

5o 

121  .4 

88.2 

10 

169.9 

123.4 

70  '  218.4 

1  58.7 

3i 

25.1 

18.2 

91 

73.6 

53.5 

i5i 

122.2 

88.8 

211 

I70-7 

124.0 

271 

219.2 

i59.3 

32 

25.9 

18.8 

92 

74.4 

54.i 

52 

123.  0 

89.3 

12 

I7i.5 

124.6 

72 

220.1 

159.9 

33 

26.7 

19.4 

93 

75.2 

54-7 

53 

123.8 

89.9 

i3 

I72.3 

125.2 

220.9 

i6o.5 

34 

27.5 

20.0 

94 

76.0 

55.3 

54 

124.6 

90.5 

i4 

i73.i 

125.8 

74 

221.7 

161.1 

35 

28.3 

20.6 

95 

76.9 

55.8 

55 

125.4 

91.1 

i5 

173.9 

126.4 

75 

222.5  '   l6l.6 

36 

29.1 

21  .2 

96 

77-7 

56.4 

56 

126.2 

91.7 

16 

174.7 

I27.0 

76 

223.3 

162.2 

37 

29.9 

21.7 

97 

78.5 

57-o 

57 

127.0 

92.3 

ij 

175.6 

127.5 

77 

224.1 

162.8 

38 

3o.7 

22.3 

98 

79-3 

57.6 

58 

127.8 

92.9 

18 

176.4 

128.1 

78 

224.9 

1  63  .4 

39 

3i.6 

22.9 

99 

80.  i 

58.2 

59 

128.6 

93.5 

19 

177-2 

128.7 

79 

225.? 

164.0 

4o 

32.4 

23.5 

100 

80.9 

58.8 

60 

129.4 

94-o 

20 

178.0 

129.3 

80 

226.5 

164.6 

4i 

33.2 

147T 

IOI 

81.7 

59-4 

161 

i3o.3 

94.6 

221 

178.8 

1  29.9 

281 

227.3 

"J65.2 

42 

34.o 

24.7 

02 

82.5 

60.0 

62 

i3i  .  i 

95.2 

22 

179-6 

i3o.5 

82 

228.1 

i65^8 

43 

34.8 

25.3 

o3 

83.3 

6o.5 

63 

131.9 

95.8 

23 

180.4 

i3i  .1 

83 

22.9.0 

i663 

44 

35.6 

25.9 

o4 

84.1 

61.1 

64 

132.7 

96.4 

24 

181.2 

i3i!7 

84 

229.8 

166.9 

45 

36.4 

26.5 

o5 

84.9 

61.7 

65 

i33.5 

97-o 

25 

182.0 

i32.3 

85 

23o.6 

167.5 

46 

37-2 

27.0 

06 

85.8 

62.3 

66 

i34.3 

'  '       _ 

97-6 

2.6 

182.8 

1  32.8 

86 

23  1.4 

168.. 

47 

38.o 

27.6 

07 

86.6 

62.9 

67 

i35.i 

98.2 

27 

i83.6 

1  33.4 

87 

232.2 

168.7 

48 

38.8 

28.2 

08 

87-4 

63.5 

68 

i35.9 

98.7 

28 

i84.5 

i34.o 

83 

233.0 

169.3 

49 

39.6 

28.8 

09 

88.2 

64.1 

69 

i36.7 

99.3 

29 

1.85.3 

1  34.  6 

89 

233.8 

169.9 

5o 

4o.5 

29.4 

10 

89.0 

64.  7 

70 

i37.5 

99-9 

3o 

186.  i 

i35.2 

9° 

234.6 

170.5 

5i 

4i.3 

3o.o 

I  II 

89.8 

65.2 

171 

i38.3 

i  oc>  .  5 

23, 

186.9 

i35.8 

291 

235.4 

1  7  1  .0 

52 

42.1 

3o.6 

12 

90.6 

65.8 

72 

l39.2 

IOI  .  I 

32 

187.7 

1  36.4 

92 

236.2 

171.6 

53 

42.9 

3l.2 

i3 

91  .4 

66.4 

73 

i4o.o 

101  .7 

33 

.88.5 

i37.o 

93 

237.0 

172.2 

54 

43.7 

3.  -7 

r4 

92.2 

67.o 

74 

i4o.8 

102.3 

34 

189.3 

t37.5 

94 

237.9 

172.8 

55 

44.5 

32.3 

i5 

93.0 

67.6 

75 

i4i.6 

IO2  .9 

35 

190.1 

i38.i 

95 

238.7 

173.4 

56 

45.3 

32.0 

16 

93.8 

68.2 

76 

142.4 

io3.5 

36 

190.9 

i38.7 

96 

239.5 

174.0 

57 
58 

46.i 
46.  9 

33.5 
34.i 

17 
18 

94-7 
95.5 

68.8 
69.4 

77 
78 

i43.2 
i44.o 

i  o4  .  o 
104.6 

37 
38 

191-7 
192.5 

,39.3 
i39.o 

97 
98 

24o.3 
241.1 

174.6 

I75.2 

59 

47-7 

34-7 

'9 

96.3 

69.9 

79 

i44.8 

105.2 

39 

i93.4 

i4o.5 

99 

241.9 

175.7 

60 

48.5 

35.3 

20 

97.1 

7o.5 

80 

i45.6 

io5.8 

4o 

194.2 

r4i.i 

3oo 

242.7 

1-6.3 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lai. 

Dist. 

Dep.  1    Lat. 

Dist.|   Dep.      La? 

[For  54  Degrees. 

TABLE   11.                                              [I'agesa 

Difference  of  Latitude  and  Departure  for  37  Degrees. 

Dist.!  Lat. 

Dep. 

Dist. 

Lat. 

Dcp. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dcp. 

Dist. 

Lat. 

Dep. 

i 

00.8 

00.6 

61 

48.  7 

36.7 

121 

96.6 

72.8 

181 

1  44  -6 

108.9 

241 

192.6 

i45.o 

2 

01  .6 

OI  .2 

62 

49.5 

37.3 

22 

97-4 

73.4 

82 

i45.4 

109.5 

42 

193.3 

i45.6 

3 

02.4 

01.8 

63 

5o.3 

37-9 

23 

98.2 

74.o 

83 

i46.2 

I  10.  1 

43 

194.1 

146.2 

4 

03.2 

02.4 

64 

61  .  i 

38.5 

24 

99.0 

74.6 

84 

146.9 

110.7 

44 

194.9 

i46.8 

5 

04.0 

o3.o 

65 

5i  .9 

39.i 

25 

99.8 

75.2 

85 

I47.7 

ii  i.3 

45 

196.7 

1*7-4 

6 

04.8 

o3.6 

66 

52.  7 

39.7 

26 

100.6 

75.8 

86 

i48.5 

II  1.0 

46 

196.5 

i48.o 

7 

o5.6 

04.2 

67 

53.5 

4o.3 

27 

101  /4 

76.4 

87 

i49.3 

112.  5 

47 

197.3 

i48.6 

8 

06.4 

04.8 

68 

54.3 

4o.9 

28 

102.2 

77-0 

88 

i5o.i 

n3.i 

48 

198.1 

9 

07.2 

06.4 

69 

55.i 

4i  .5 

29 

io3.o 

77.6 

89 

i5o  9 

Ii3.7 

49 

198.9 

149-9 

10 

08.0 

06.0 

70 

55.9 

42.1 

3o 

io3.8 

78.2 

90 

161.7 

ii4.3 

5o 

199.7 

i5o.5 

ii 

08.8 

06.6 

7' 

56.7 

42.7 

i3i 

104.6 

78.8 

191 

162.6 

114.9 

2.5  T 

200.5 

iSi.i 

12 

09.6 

07.2 

72 

57.5 

43.3 

32 

106.4 

79-4 

92 

1  53.3 

ii5.5 

62 

201.3 

161.7 

i3 

10.4 

07.8 

73 

58.3 

43.9 

33 

106.2 

80.0 

93 

164.1 

116.2 

53 

202.1 

162.  J 

i4 

II  .2 

08.4 

74 

69.1 

44.5 

34 

107.0 

80.6 

94 

164.9 

1  1  6.8 

54 

202-9 

162.9 

•i5 

12.  0 

09.0 

75 

59.9 

45.i 

35 

107.8 

81.2 

95 

i55.7 

II7-4 

55 

203.7 

1  53.5 

16 

12.8 

09.6 

60.7 

45.7 

36 

108.6 

81.8 

96 

i56.5 

1  1  8.0 

56 

2o4.5 

i54-i 

17 

i3.6 

IO.2 

77 

61  .5 

46.3 

37 

109.4 

82.4 

97 

167.3 

118.6 

57 

20D.2 

i54.7 

18 

14.4 

10.8 

78 

62.3 

46.9 

38 

II0.2 

83.i 

98 

168.1 

119.2 

58 

206.0 

i55.3 

19 

15.2 

11.4 

79 

63.i 

47.5 

39 

II  I  .O 

83.  7 

99 

168.9 

119.8 

59 

206.8 

166.9 

20 

16.0 

12.  0 

80 

63.9 

48.i 

4o 

in.  8 

84.3 

200 

159.7 

120.4 

60 

207.6 

1  56.5 

21 

16.8 

12.6 

81 

64.7 

48-7 

i4i 

1  12.6 

84-9 

201 

i6o.5 

I  21.0 

261 

208.4 

i57.i 

22 

17.6 

13.2 

82 

6'...  5 

49-3 

42 

n3.4 

85.5 

02 

i6i.3 

I  2  1.  6 

62 

209.2 

1  57.7 

23 

18.4 

i3.8 

83 

66.3 

5o.o 

43 

I  l4-2 

86.1 

03 

162.1 

122.2 

63 

210.0 

i58.3 

2.4 

19.2 

i4.4 

84 

67.1 

5o.6 

44 

i  i5.o 

86.  7 

o4 

162.9 

122.8 

64 

210.8 

1  58  .9 

25 

20.  0 

i5.o 

85 

67.9 

61.2 

45 

116.8 

87.3 

o5 

163.7 

123.4 

65 

211.6 

,5o.5 

26 

20.8 

i5.6 

86 

68.7 

5i.8 

46 

116.6 

87.9 

06 

i64.5 

124.0 

66 

212.4 

160.1 

27 

21  .6 

16.2 

87 

69.5 

62.4 

47 

117.4 

88.5 

07 

i65.3 

124.6 

67 

2l3.2 

160.7 

28 

22.4 

16.9 

88 

7o.3 

53.o 

48 

118.2 

89.  i 

08 

1  66.  i 

125.2 

68 

2l4-O 

i6i.3 

23.2 

17.5 

89 

71.1 

53.6 

119.0 

89  7 

09 

166.9 

126.8 

69 

214.8 

161.9 

3o 

24.O 

18.1 

90 

71.9 

54.2 

5o 

119.8 

90.3 

10 

167.7 

126.4 

70 

216.6 

162.6 

3i 

24.8 

18.7 

91 

72.7 

54.8 

i5i 

120.6 

00.0 

211 

i68.5 

127.0 

271 

216.4 

163.1 

37 

2.5.6 

19-3 

92 

73.5 

55.4 

62 

121  .4 

91.6 

12 

169.3 

127.6 

72 

217.3 

i63.7 

33 

?6.4 

10.  0 

03 

74.3 

56.o 

53 

122.2 

92.1 

i3 

170.1 

128.2 

73 

218.0 

i64.3 

34 

27.2 

20.5 

94 

75.i 

56.6 

54 

123.0 

92.7 

i4 

170.9 

128.8 

74 

218.8 

164.9 

35 

28.0 

21  .  I 

95 

75-9 

57.2 

55 

123.8 

o3.3 

i5 

171.7 

129.4 

75 

219.6 

i65.5 

36 

28.8 

21  .7 

06 

76.7 

57.8 

56 

124.6 

93.9 

16 

172.6 

i3o.o 

76 

220.4 

1  66.1 

37 

29.5 

22.3 

97 

77-5 

58.4 

57 

126.4 

94.5 

17 

173.3 

i3o.6 

77 

221.2 

166.7 

38 

3o.3 

22.0 

98 

78.3 

So.ti 

58 

126.2 

o5.i 

r8 

I74-I 

l3l.2 

78 

222.0 

167.3 

39 
4o 

3i  .  i 
3,  .9 

23.5 

.24.1 

99 

100 

79.1 
79-9 

59.6 
60.2 

59 
60 

127.0 

127.8 

95.7 
96.3 

19 

20 

174.9 

176.7 

i3i.8 
i3a.4 

79 
80 

222.8 
223.6 

167.9 
i68.5 

4i 

32.7 

24.7 

101 

80.7 

60.8 

161 

128.6 

96.9 

221 

176.5 

i33.o 

281 

224-4 

169.1 

42 

33.5 

25.3 

02 

81.6 

61.4 

6? 

129.4 

97.5 

22 

177-3 

i33.6 

82 

225.2 

169.7 

43 

31.3 

25-9 

o3 

82.3 

62.0 

63 

l3o.2 

98.1 

23 

178.1 

i34-2 

83 

22.6.0 

170.3 

44 

35.i 

26.6 

o4 

83.i 

62.6 

64 

i3i  .0 

98.7 

24 

178.9 

i34.8 

84 

226.8 

170.9 

45 

35,o 

27.1 

o5 

83.o 

63.2 

65 

j3i.8 

99-3 

25 

179-7 

i35.4 

85 

227.6 

171.6 

46 

36.7 

27.7 

06 

84-7 

63.8 

66 

i3a.6 

00.0 

26 

i8o.5 

1  36.o 

86 

228.4 

172.1 

47 
48 

37.5 
38  3 

28.3 

07 

08 

85.5 

86.3 

64-4 
65.o 

67 
68 

i33.4 
i34.2 

100.5 

101  .1 

27 
28 

i8i.3 
182.1 

1  36.6 

l37.2 

87 
88 

229.2 
230.0 

172.7 
i73.3 

49 
5o 

39.i 
39.9 

g;f 

09 

10 

87.1 

87.8 

65.6 
66.2 

69 

70 

i35.o 
i35.8 

101  .7 
102.3 

1° 

3o 

182.9 
i83.7 

i37.8 
1  38  .4 

89 

9° 

23o.8 
23  1.6 

173.9 

174.6 

5i 

40.7 

•3o  7 

1  1  1 

88.6 

66.8 

171 

i36.6 

102.9 

23l 

184.6 

1  39.0 

291 

232.4 

176.1 

52 

53 
54 

4i.5 
42.3 
43.i 

3i.3 
31.9 
32.5 

12 

i3 
i4 

89.4 
90.2 
91  .0 

67.4 
68.0 
68.6 

72 
73 
74 

i37.4 
i38.2 
139.0 

io3.5 
104.1 
io4-7 

32 

33 
34 

i85.3 
1  86.  i 
186.9 

139.6 
140.2 
i4o.8 

9? 
93 

233.2 

234.0 
234.8 

176.7 
1763 
176.9 

55 
56 

57 
58 

43.9 

44-7 
45.5 
46.3 
47-1 
47-9 

33.i 
33.7 
34-3 
34-9 
35.5 
36.i 

i5 
16 

17 
18 

20 

91.8 
92.6 
93.4 
94-2 
93.0 
95.8 

69.2 
69.8 

70.4 
71  .0 
71.6 
72.2 

75 
76 

77 
78 

79 
80 

139.8 
i4o.6 
i4i-4 
142.2 
i43.o 
i43.8 

io5.3 
io5-9 
io6.5 
107.1 

107.7 
to8.3 

35 
36 

37 
38 
39 
4o 

187.7 
188.6 
189.3 
190.1 
190.9 
191.7 

i4i.4 
142.0 
142.6 
143.2 
i43.8 
1  44-  4 

96 

97 
98 

99 
3oo 

235.6 
236.4 

237.2 

238.0 
238.8 
239.6 

177.5 
178.1 
178.7 
179.3 

179-9 
i8o.5 

Dist.:  Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep.      Lai. 

[For  53  Degrees. 

Page  54]                                                            TABLE    II. 

Difference  of  Latitude  and  Departure  for  38  Degrees. 

Dist. 

Lat. 

Dep. 

Disi. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat..      Dep. 

Dist.1 

Lat. 

Dep. 

I 

00.8 

00.6 

61 

48.i 

37.6 

121 

95.3 

74.5 

181 

142.6)  iu-4 

24'  } 

189.9 

i4«-4 

2 

01  .6 

OI  .2 

62 

48.9 

38.2 

22 

96.1 

75.i 

82 

i43.4 

112.  1 

42 

190.7 

j49-o 

3 

02.4 

01.8 

63 

49-6 

38.8 

23 

90.9 

75.7 

83 

i44-2 

112.7 

43 

191.5!  i49-6 

4 

03.2 

02.5 

64 

5o.4 

39.4 

24 

97-7 

76.3 

84 

i45.o 

i43.3 

44 

192.3 

l5o.2 

o3-9 

o3.i 

65 

5i.2 

4o.o 

25 

98.5 

-77-0 

85 

i45-8 

11  3.9 

45 

utf.i 

>5oJ 

6 

04.7 

o3.7 

66 

52.0 

4o.6 

26 

»v3 

77-6 

86 

M6-6 

ii4-5 

46 

193.9 

i5i.5 

7 

o5.5 

o4.3 

67 

52.8 

41.2 

27    too.  i 

78.2 

87 

147.4 

i*5.i 

47 

194.6 

i5aj 

8 

,o6.3 

04.9 

68 

53.6 

41.9 

28  !  100.9 

78.8 

88 

*4&J 

ii5.7 

48 

19S.4 

i5a.7 

9 

07.1 

o5.5 

69 

54.4 

42.5 

29 

101  .7 

79-4 

89 

148.9 

1*64 

49 

196.2 

1  53.3 

*o 

07.9 

06.  a 

TO 

55.2 

43.i 

3o 

102.4 

80.0 

9° 

149.7 

JI7.0 

5o 

197.0 

»53.9 

ii 

08.7 

06.8 

7i 

55.9 

43.7 

i3i 

103.2 

80.7 

591 

i5o.5 

117.0- 

»5a 

1978 

*54.5 

12 

o9.5 

07.4 

72 

56.7 

44.3 

32 

104.0 

Si.  3 

02 

j5t.3 

Ii8-2 

52 

198.6 

i55.i 

1  3 

10.2 

08.0 

73 

57.5 

44-9 

33 

104.8 

81.9 

93 

t52.I 

1*8.8 

53 

199,4 

i55.8 

M 

II  .0 

08.6 

74 

58.3 

45.6 

34 

io5.6 

82.5 

94 

1  52  .9 

1194 

54 

200.2 

i56.4 

§5 

ii.  8 

09.2 

75 

59.i 

46.2 

35 

106.4 

83.i 

95 

i53.7 

I2O.J 

55 

200-9 

1  57.0 

16 

12.6 

09.9 

-76 

59-9 

46.8 

36 

107.2 

83.7 

96 

j54-5 

120.7 

56 

201-7 

i57.6 

I  7 

i3.4 

io.5 

77 

60.7 

47-4 

37 

108.0 

84.3 

97 

i55.2 

121.3 

57 

202.  D 

»58.2 

1  8 

14.2 

ii  .1 

78 

6i.5 

48.o 

38 

108.7 

85.o 

98 

1  56.o 

121-9 

58 

2o33 

1  58.8 

19 

i5.o 

11.7 

79 

02.3 

48.6 

39 

109.5 

85.6 

99 

1  56  .8 

122.5 

59 

ao4-i 

»59.5 

io 

i5.8 

12.3 

80 

63.o 

49.3 

4<> 

110.3 

86.2 

200 

*57.6 

i23.1 

00 

2^-9 

160.1 

21 

i6.5 

12.9 

81 

63.8 

49.9 

MI 

in  .  i 

86.8 

201 

i58.4 

V23.7 

261 

2o5  7 

160.7 

22 

i7.3 

i3.5 

82 

64.6 

56.5 

42 

111.9 

87.4 

02 

l5q.a 

124.4 

6a 

2o6.5  .  i6i.3 

23 

18.  i 

14.2 

83 

65.4 

5i.i 

43 

112.7 

88.0 

o3 

1  60.0 

125.0 

63 

2t>7-2 

>6i  .9 

24 

18.9 

i4.8 

84 

66.2 

Si.? 

44 

n3.5 

88.7 

04 

160.8 

125.6 

64 

5HJ8.0 

i6i.5 

25 

19.7 

i5.4 

85 

67.0 

52.3 

45 

ii4.3 

89.3 

o5 

i6i.5 

126.2 

65 

a«8.8 

»63.a 

26 

20.5 

16.0 

86 

67.8 

52.9 

46 

n5.o 

89.9 

06 

162.3 

126.8 

66 

209.6 

»63.8 

27 

21.3 

16.6 

87 

68.6 

53.6 

47 

ii5.8 

90.5 

07 

i63.i 

127.4 

67 

210.4 

1  64  .4 

28 

22.1 

17.  •> 

88 

69.3 

54.2 

48 

116.6 

91.1 

08 

163.9 

128.1 

68 

21  1  .2 

i65.o 

29 

22.9 

17.9 

89 

70.1 

54.8 

49 

117.4 

91.7 

09 

164.7 

128.7 

69 

2J2.0 

t65.6 

3o 

23.6 

i8.5 

9° 

70.9 

55,4 

DO 

1*8.2 

92.3 

10 

i65.5 

129.3 

70 

212.8 

i66.a 

3} 

24.4 

19.1 

91 

71.7 

56.o 

i5i 

119.0 

93  .0 

211 

166.3 

129.9 

271 

213.6 

166.8 

32 

25.2 

19.7 

92 

72.5 

56.6 

52 

119.8 

93.6 

12 

i67.i 

i3o.5 

72 

ai4.3 

167.6 

33 

26.0 

20.3 

93 

73.3 

57.3 

53 

120.6 

94.2 

i3 

i67.8 

i3i.i 

73 

2l5.1 

>68.i 

34 

26.8 

20.9 

94 

74  .  i 

57.9 

54 

121  .4 

94.8 

J4 

168.6 

i3i.8 

74 

21  5.9 

168-7 

35 

27.6 

M.5 

95 

74-9 

58.5 

55 

122.  I 

95.4 

i5 

169.4 

1  33.4 

_H 

/ 

2*6-7 

169.3 

36 

28.4 

22.2 

96 

75.6 

59.1 

56 

122-9 

96.0 

16 

I70.2 

i33.o 

7<> 

?I7.5 

169.9 

3? 

29.2 

22.8 

97 

76.4 

59.7 

57 

123.7 

96-7 

17 

I7I.O 

1  33.6 

7~ 

^i8.3 

170.5 

38 

29.9 

23.4 

98 

77.2 

6o.3 

58 

124.5 

97.3 

18 

171.8 

134.2 

-78 

219.1 

171.2 

39 

3o.7 

24.0 

99 

78.0 

61.0 

59 

125.3 

97-9 

19 

172.6 

i348 

79 

a»9-§ 

171.8 

4o 

3i.5 

24.6 

1OO 

78.8 

61.6 

60 

126.1 

98.5 

20 

173.4 

i35.4 

&«> 

22U.6 

172.4 

4< 

32.3 

25.2 

101 

79.6 

62.2 

16) 

126.9 

99.1 

221 

174.2 

i36.i 

afc» 

22  K4 

170.0 

42 

33.i 

25.9 

02 

8o.4 

02.8 

62 

127.7 

99-7 

22 

174.9 

1  36.7 

222.2 

i73.6 

43 

33.Q 

26.5 

o3 

81.2 

63.4 

63 

128.4 

100.4 

23 

175.7 

i37.3 

83 

223-0 

174.2 

44 

34.7 

27.1 

o4 

82.0 

64.0 

64 

129.2 

101  .0 

24 

176.5 

i37.9 

84 

223.8 

J74.8 

45 

35.5 

27.7 

o5 

82.7 

64.6 

65 

i3o.o 

101  .6 

25 

177-3 

1  38.  5 

85 

224.6 

175-5 

46 

36.2 

28.3 

06 

83.5 

65.3 

66 

i3o.8 

102.2 

26 

178.1 

139.1 

86 

225.4 

176.1 

4? 

37.o 

28.9 

07 

84.3 

65.9 

67 

i3i.6 

102.8 

37 

178.9 

139.8 

87 

226.2 

176.7 

48 

37.8 

29.6 

08 

85.i 

66.5 

68 

i3a.4 

io3.4 

28 

179-7 

l4o.4 

88 

226.9 

»7-.3 

49 

38.6 

30.2 

°9 

85.9 

67.1 

69 

i33.a 

104.0 

29 

180.5 

i4i-o 

80 

227.7 

177  9 

5o 

39.4 

-3o.8 

JO 

86.7 

67.7 

70 

i34.o 

io4-7 

3.. 

ifij.a 

i4i-6 

9» 

228.5 

i-8.5 

5i 

40.2 

3i.4 

1  1  1 

87.5 

68.3 

i34-7 

io5.3 

23. 

iha.o  >  i4;..2 

2QI 

?29-3 

179.2 

52 

4i  .0 

32.0 

12 

88.3 

69.0 

72 

i35.5 

105.9 

3-> 

l8?.8 

i4u.8 

9y 

s3o.i 

179.8 

53 

4i.8 

32.6 

i3 

89.0 

69.6 

73 

i36.3 

io6.5 

33 

1  83.6 

143.4 

93 

230.9 

18-0.4 

54 

42.6 

33.2 

i4 

89.8 

70.2 

74 

i37.i 

107.1 

34 

i84-4 

144-1 

94 

a3i.7 

181.0 

55 

43.3 

33.9 

i5 

90.6 

70.8 

75 

137.9 

107.7 

35 

i85.2 

i44-7 

95 

23a.5 

181.6 

56 

44.i 

34.5 

16 

91  .4 

71  .4 

76 

138.7 

108.4 

36 

186.0 

i45.3 

96 

233.3 

182.2 

57 

44.9 

35.  i 

17 

92.2 

72.0 

77 

139.5 

109.0 

37 

186.8 

145.9 

97 

234-O 

182.9 

58 

45.7 

35.7 

18 

93.0 

73  6 

78 

i4o.3 

109.6 

38 

187.5 

i46.5 

98 

234.8 

i83.5 

59  J46.5    36.3 

'9 

93.8 

73  3 

79 

i4i  .  i 

1  IO.2 

39 

i88.3 

i47-< 

99 

235.6 

184.1 

60   47-3 

36.9 

20 

94.6 

73.; 

80 

i4i.8 

uo.8 

4o 

189.1 

147-8 

3oo  |  236.4 

184.7 

Dist.    Di-p. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist.!  Dep 

Lat. 

[For  52  Degrees. 

TABLE   11.                                            [Paga5>| 

Difference  of  Latitude  and  Departure  for  39  Degrees. 

Disl. 

Lat. 

Dcp. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

">ist. 

Lat. 

Dep. 

)ist.j    Lat. 

TW 

i 

00.8 

00.6 

6. 

47-4 

38.4 

121 

94-0 

76.. 

181 

140.7 

li3.9 

24.  '  i8i.3 

f5i  .7 

2 

01  .6 

oi.3 

62 

48.2 

39.0 

22 

94.8 

76.8 

82 

i4i.4 

n4.5 

49. 

.88.1 

.52.3 

3 

02.3 

01  .9 

63 

49.0 

39.6 

23 

95.6 

77-4 

83 

142.2 

II5.2 

43 

188.8 

l52.9 

4 

o3.i 

02.5 

64 

49-7 

4o.3 

24 

96.4 

78.0 

84 

.43.0 

1  1  5.8 

44 

189.6 

.53.6 

5 

o3-9 

o3.i 

65 

5o.5 

40.9 

25 

97.1 

78.7 

85 

i43.8 

116.4 

45 

190.4 

.54-2 

6 

o4.7 

o3.8 

66 

5i.3 

4i.5 

26 

97-9 

79-3 

86 

>44.5 

1.7.1 

46 

191.2 

.54-6 

7 

o5.4 

o4.4 

67 

62.  i 

42.2 

27 

98.7 

79-9 

87 

i45.3 

117.7 

47 

192.0 

1  55.4 

8 

06.2 

o5.o 

68 

5a.8 

42.8 

28 

99.5 

80.6 

88 

146.1 

1.8.3 

48 

192.  -1 

.56.. 

9 

07.0 

o5.7 

69 

53.6  43.4 

29 

ioo.3 

81.2 

89 

.46.9 

118.9 

49 

,93.5 

1  56.7 

1C) 

07-8 

o6.3 

70 

54.  4  1  44.i 

3o 

101  .0 

81.8 

9° 

"47-7 

.  19.6 

5o 

194.3 

157.3 

1  1 

o8.5 

06.9 

7i 

55.2 

44-7 

i3i 

101.8 

82.4 

191 

148.4 

120.2 

a5i 

195.1 

1  58.o 

19 

09.3 

07.6 

72 

56.o 

45.3 

32 

102.6 

83.i 

92 

149-2 

120.8 

52 

195.8 

.58.6 

i3 

10.  1 

08.2 

73 

56.7 

45.9 

33 

io3.4 

83.7 

93 

.  5o.o 

.21.5 

53 

196.6    159.; 

i4 

10.9 

08.8 

74 

57.5 

46.6 

34 

104.1 

84.3 

94 

.5o.8 

.22.1 

54 

.97.4    i59.8 

i5 

11.7 

09.4 

75 

58.3 

47-2 

35 

104.9 

85.o 

95 

i5i.5 

122.7 

55 

,98.? 

i6o.5 

16 

12.4 

1  0  .  I 

76 

59.1 

47.8 

36 

105.7 

85.6 

96 

i5a.3 

.23.3 

56 

.98.9 

161.1 

17 

13.2 

10.7 

77 

59.8 

48.5 

37 

1  06.5 

86.2 

97 

.53.. 

124.0 

57 

199.7 

.61.7 

18 

1  4.0 

n.3 

78 

60.6 

49.1 

38 

107.2 

86.8 

98 

1  53.9 

124.6 

58 

200.5 

.62.4 

19 

14.8 

12.0 

79 

61.4 

49.  7 

39 

108.0 

87.5 

99 

1  54.  7 

125.2 

59 

201.3 

i63.o 

20 

i5.5 

12.6 

80 

62.2 

5o.3 

4o 

108.8 

88.1 

200 

.55.4 

.25-9 

60 

202.1 

1  63.  6 

2J 

i6.3 

13.2 

81 

62.9 

5  i.o 

i4i 

109.6 

88.7 

20. 

i56.2 

I  26.5 

26. 

202.8 

i64.3 

22 

17.1 

i3.8 

82 

63.7 

5..6 

42 

1  10.4 

89.4 

Q2 

157.0 

127.1 

62 

2o3.6 

164.9 

2.3 

17.9 

.4.5 

83 

64.5 

52.2 

43 

1  1  1  .1 

90.0 

o3 

157.8 

127.8 

63 

2o4-4 

.65.5 

24 

,8.7 

i5.i 

84 

65.3 

52.9 

44 

111.9 

90.6 

o4 

1  58.5 

128.4 

64 

205.2 

166.1 

?5 

19.4 

.5.7 

85 

66.1 

53.5 

45 

112.7 

9i.3 

o5 

i59.3 

129.0 

65 

205.9 

.66.8 

26 

20.2 

16.4 

86 

66.8 

54.1 

46 

ii3.5 

91.9 

06 

1  60.  i 

129.6 

66 

206.7 

167.4 

27 

21  .0 

17.0 

87 

67.6 

54.8 

47 

i  .4.2 

92.5 

07 

.60.9 

i3o.3 

67 

207.5 

168.0 

98 

21.8 

.7.6 

88 

68.4 

55.4 

48 

u5.o 

93.1 

08 

161.6 

i3o.9 

68 

208.3 

168.7 

30 

72.5 

.8.3 

89 

69.2 

56.o 

49 

ii5.8 

93.8 

09 

162.4 

i3i.5 

69 

209.1 

169.3 

3o 

23.3 

18.9 

9° 

69.9 

56.6 

56 

116.6 

94-4 

10 

i63.2 

132.2 

70 

209.8 

.69.9 

3  1 

24.1 

.9-5 

$ 

70.7 

57.3 

.5. 

1.7.3 

95.0 

211 

164.0 

i32.8 

271 

2.0.6 

,70.5 

3  a 

24  .Q 

2C).  1 

92 

7.  .5 

57.  Q 

52 

118.  i 

95.7 

12 

164.8 

i33.4 

72 

211.4 

171.2 

33 

2.5.6 

20.8 

93 

72.3 

58.5 

53 

118.9 

96.3 

i3 

.65.5 

1  34-0 

73 

212.2 

171.8 

34 

26.4 

21.4 

94 

73.  « 

59.2 

54 

119.7 

96.9 

i4 

.66.3 

i34-7 

74 

212-9 

172.4 

35 

27  .  2 

22  .O 

95 

73.8 

59.8 

55 

120.5 

97.5 

i5 

167.1 

i35.3 

75 

2i3.7 

.73.i 

36 

28.0 

22.7 

9* 

74-6 

60.4 

56 

12.  .2 

08.2 

16 

167.9 

i35.9 

76 

2.4-5 

173.7 

37 

v8  8 

?3  3 

97 

75.4 

61  .0 

57 

122.0 

98.8 

17 

1  68.  6 

i36.6 

77 

2  1  5.3 

174.3 

38 

?0  5 

23.9 

08 

76.2 

61   7 

58 

122.8 

99.4 

18 

169.4 

137.2 

78 

216.0 

175.0 

39 

3o.3 

2.4.5 

99 

76.9 

62.3 

59 

123.6 

too.  i 

19 

170.2 

.37.8 

79 

216.8 

175.6 

4o 

3i  .1 

25.2 

100 

77-7 

6.2.9 

60 

124.3 

100.7 

20 

171  .0 

1  38.5 

80 

2.7.6 

176.2 

4i 

3i.9 

25.8 

101 

78.5 

63.6 

.61 

125.1 

ioi  .3 

221 

171.7 

i39.x 

28. 

218.4 

176.8 

42 

32.6 

26.4 

02 

70.3 

64.2 

62 

125.9!  ioi  .9 

22 

172.5 

138-7 

82 

219.2 

177-5 

43 

33.4 

27  .  i 

o3 

80.0 

64.8 

63 

126.7 

102.6 

23 

i73.3 

i4o.3 

83 

219.9 

178.1 

44 

3A  .  •> 

27  7 

o4 

80,8 

65.4 

64 

I27.5 

103.2 

24 

i74.i 

i4i-o 

84 

220.7 

178.7 

45    .i5.o 

28.3 

o5 

81.6 

66.1 

65 

128.2 

io3.8 

25 

174.9 

i4i-6 

85 

221.5 

179.4 

46 

35.7 

28  9 

06 

82.4 

66.7 

66 

129.0 

io4.5 

26 

175.6 

142.2 

86 

222.3 

.80.0 

47 
48 

36.5 
37  3 

20.6 

3o  . 

07 
08 

83.2 
83.9 

67.3 
68.0 

67 
68 

129.8 

.3o.6 

io5.  i 

io5.7 

27 

28 

176.4 

177.2 

142.9 
i43.5 

87 
88 

223.0 
223.8 

180.6 
181.2 

49 
5o 

38.i 
38.  9 

3o.8 

3..  5 

09 

lo 

84-7 
85.5 

68.6 
69.2 

69 

70 

i3i.3 
i3a.i 

106  4 
.  07  .  <  i 

?9 

3<> 

.78.0 
178.7 

.44.1 
i44-7 

89 
9° 

1  224.6 

225.4 

181.9 
182.5 

~5T 

52 

"39.6 
4o  4 

32.1 

32.7 

1  1  1 

I  2 

86.3 
87.0 

69.9 

70.5 

171 

72 

.32.9 
,33.7 

.07.6 
.08.2 

23. 
32 

179.5 
i8o.3 

i45.4 

i46.o 

29. 
92 

226.1 
226.9 

i83.i 

.83.8 

53 
54 
55 
56 
57 
i     58 

£ 

60 

4i.2 

42.0 
42.7 
43.5 
44-3 
45.i 
^•9 

|  £»O.O 

33.4 
34.0 
34.6 
35.2 
35.9 
36.5 
37.i 
37.8 

IZ 

i5 
16 

17 
18 

19 
20 

87.8 
88.6 
89.4 
90.1 
90.9 
91.7 
92.5 
93.3 

71.1 
7i-7 
72.4 
?3.o 
73.6 
74-3 

gi 

73 
74 
75 
76 

78 
79 

80 

.34.4 
j  i3'5.2 
.36.0 
.36.8 
i37.6 
1  38.3 
,39.. 
i39.9 

108.9 
109.3 

1  10.  1 
I  IO.fi 

1  1  1  .4 

..2.0 
.12.6 

1.3.3 

33 
34 
35 
36 

37 
38 

39 

4o 

.81.1 
181.9 
182.6 
i83.4 
184.2 
i85.o 
585.7 
,86.5 

1  46.6 
147-3 

!33:S 

1  49-1 
149.8 
i5o.^ 
161.0 

93 
94 
95 
96 

97 
98 

99 

3oo 

227.7 

228.5 

229.3 

230.0 

a3o.8 

23  1.  6 

232.4 

233.1 

.84.4 
i85.o 
i85.6 
.86.3 
186.9 
18-7.5 
188.2 
188.8 

l>tst 

Dc^ 

T^uT 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

[For  51  Degrees 

r«s«56]                                             TABLE  11. 

Difference  of  Latitude  and  Departure  for  40  Degrees. 

Dist. 

Lat. 

Dep. 

Dist.|  Lai. 

Dep. 

Dist. 

Lat.        Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

j 

00.8 

00.6 

61 

46-7 

39.2 

121 

92.7 

77-8 

181 

1  38.7 

1  16.3 

24  1 

184.6 

1  54  .9 

2 

oi.5 

oi.3 

62 

47-5 

39.9 

22 

93.5 

78.4 

82 

i39.4 

1  17.0 

42  ,  i85.4 

1  55.  6 

3 

02    3 

01  .9 

63 

48.3 

4o.5 

23 

94-2 

79.1 

83 

l4o.2 

117.6 

43 

186.  i 

i56.2 

4 

o3  i 

02.6 

64 

49.0 

4i.i 

24 

95.o 

79-7 

84 

i4i.o 

ii8.3 

44 

186.9 

1  56.  8 

5 

o3.8 

03.2 

65 

49.8 

4i.8 

25 

95.8 

8o.3 

85 

i4i-7 

118.9 

45 

187.7 

i575 

6 

o4-6 

o3.9 

66 

5o.6 

42.4 

26 

96.5 

81.0 

86 

1  42.  5 

1  19.6 

46 

188.4 

i58.i 

o5.4 

o4.5 

67 

St.  a 

43.i 

27 

97-3 

81.6 

87 

i43.3 

120.2 

47 

189.2 

1  58.  8 

8 

06.  i 

o5.i 

68 

52.1 

43.7 

28 

98.. 

82.3 

88 

1  44.0 

120.8 

48 

190.0 

i59.4 

9 

06.9 

o5.8 

69 

52.9 

44-4 

29 

98.8 

82.9 

89 

144.8  f  I2I.5 

49 

190.7 

1  60.  i 

10 

07-7 

06.4 

70 

53.6 

45.0 

3o 

99.6 

83.6 

90 

i45.5 

122.1 

5o 

191  .5 

i6o.7 

1  1 

08.4 

07.1 

7i 

54-4 

45.6 

i3i 

100.4 

84.2 

191 

i46.3 

122.8 

25l 

J9?.3 

i6i.3 

12 

09.2 

07-7. 

72 

55.2 

46.3 

32 

101  .  1 

84.8 

02 

147-1 

123.4 

52 

jy3.o 

162.0 

i3 

IO.O 

08.4 

73 

55.9 

46.9 

33 

101  .9 

85.5 

93 

147.8 

I24.I 

53 

193.8 

162.6 

i4 

10.7 

09.0 

74 

56.7 

47-6 

34 

102.6 

86.1 

94 

i486 

124.7 

54 

194.6 

1  63.  3 

.5 

11.5 

09.6 

75 

57.5 

48.2 

35 

io3.4 

86.8 

95 

149.4 

125.3 

55 

195.3 

i63.9 

16 

12.3 

io.3 

76 

58.2 

48.9 

36 

104-2 

87.4 

96 

i5o.i 

126.0 

56 

i96.i 

164.6 

'7 

i3.o 

10.9 

77 

59.0 

49.5 

37 

104.9 

88.1 

97 

i5o.9 

126.6 

57 

i96.9 

i65.2 

18 

i3.8 

11.  6 

78 

59.8 

5o.i 

38 

io5.7 

88.7 

98 

1  5  1.  7 

127.3 

58 

197.6 

i65.8 

'9 

14.6 

12.2 

79 

6o.5 

5o.8 

39 

fo6.5 

89.3 

99 

i52.4 

127.9 

59 

198.4 

1  66.5 

20 

i5.3 

I2.9 

80 

6i.3 

5,.  4 

4o 

107.2 

90.0 

200 

i53.2 

128.6 

60 

199.2 

i67.i 

21 

[6.1 

i3.5 

81 

62.0 

52.1 

i4i 

108.0 

90.6 

201 

1  54.o 

129.2 

261 

199.9 

167.8 

22 

16.9 

14.1 

82 

62.8 

52.7 

42 

108.8 

9i.3 

02 

1  54-7 

129.8 

62 

200.7 

168.4 

23 

17.6 

14.8 

83 

63.6 

53.4 

43 

109.5 

91  .9 

o3 

i55.5 

i3o.5 

63 

201.5 

169.1 

24 

18.4 

i5.4 

84 

64.3 

54.0 

44 

iio.3 

92.6 

o4 

1  56.3 

i3i.i 

64 

202.2 

169.7 

25 

19.2 

16.1 

85 

65.i 

54.6 

45 

i  ii  .1 

03.2 

o5 

157.0 

i3i.8 

65 

y.o3.o 

170.3 

26 

19.9 

16.7 

86 

65.9 

55.3 

46 

in.  8 

93.8 

06 

i57.8 

i32.4 

66 

2.o3.8 

171.0 

27 

20.7 

17-4 

87 

66.6 

55.9 

47 

112.  6 

94-5 

07 

1  58  .6 

1  33.  i 

67 

2o4.5 

171.6 

28 

21.4 

18.0 

88 

67.4 

56.6 

48 

n3.4 

95.i 

08 

1  59.3 

i33.7 

68 

2o5.3 

I72.3 

29 

22.2 

18.6 

89 

68.2 

57.2 

49 

n4-i 

95.8 

09 

1  60.  i 

i34.3 

69 

206.  1 

172.9 

JO 

23.0 

.9.3 

90 

68.9 

57.9 

5o 

114.9 

96.4 

10 

160.9 

i35.o 

70 

206.8 

173.6 

3i 

3.3.  7 

19.9 

91 

69.7 

58.5 

i5i 

1  i5.7 

97.1 

211 

161.6 

i35.6 

271 

207.6 

174.2 

32 

24.5 

20.6 

92 

70.5 

69.1 

52 

116.4 

97-7 

12 

162.4 

1  36.3 

72 

208.4 

174-8 

33 

25.J 

21  .2 

93 

71.2 

59.8 

53 

117.2 

98.3 

13 

i63.a 

1  36.  9 

73 

209.1 

i75.5 

34 

26.0 

21  .9 

94 

72.0 

60.4 

54 

118.0 

99.0 

i4 

1  63.9 

i37.6 

74 

209.9 

176.1 

35 

26.8 

22.5 

95 

72.8 

61.1 

55 

118.7 

99.6 

i5 

164.7 

i38.a 

75 

210.7 

176.8 

36 

27.6 

23.1 

96 

73.5 

61.7 

56 

119.5 

100.3 

1  6 

i65.5 

i38.8 

76 

21  1.4 

177-4 

37 

28.3 

23.8 

97 

74.3 

62.4 

57 

120.3 

100.9 

17 

166.2 

139.5 

77 

212.2 

178.1 

38 

29.1 

24.4 

98 

75.i 

63.o 

58 

121  .0 

101  .6 

18 

167.0 

140.1 

78 

2l3.0 

178.7 

39 

29.9 

25.1 

99 

75.8 

63.6 

59 

121.  8 

102.2 

19 

167.8 

i4o.8 

79 

213.7 

179.3 

4o 

3o.6 

25.7 

100 

76.6 

64.3 

60 

122.6 

102.8 

20 

168,5 

i4i.4 

80 

214.5 

1  80.0 

4i 

3,  .4 

26.4 

101 

77-4 

64.9 

161 

123.3 

io3.5 

221 

169.3 

142.1 

281 

21  5.3 

180.6 

4s 

32.2 

27.0 

02 

78.1 

65.6 

62 

124.1 

104.1 

22 

170.1 

142.7 

82 

216.0 

i8i.3 

43 

32.9 

27-6 

o3 

78.9 

66.2 

63 

124.9 

104.8 

23 

170.8 

143.3 

83 

216.8 

181.9 

44 

3^.7 

28.3 

o4 

79-7 

66.8 

64 

125.6 

io5.4 

24 

i7i.6 

1  44-o 

84 

217.6 

182.6 

45 

34.5 

28.9 

o5 

80.4 

67.5 

65 

126.4 

1  06.  i 

25 

172.4 

i44.6 

85 

218.3 

i83.2 

46 

35.2 

29.6 

06 

81.2 

68.1 

66 

127.2 

106.7 

2.6 

I73.I 

i45.3 

86 

219.1 

i83.8 

47 

36.o 

30.2 

07 

82.0 

68.8 

67 

127.9 

107.3 

27 

173.9 

145.9 

87 

219.9 

i84.5 

48 

36.8 

3o.9 

08 

82.7 

69.4 

68 

128.7 

108.0 

28 

174-7 

1  46.6 

88 

220.6 

1  85.i 

49 

37.5 

3i.5 

09 

83.5 

70.1 

69 

129.5 

108.6 

29 

175.4 

147-2 

89 

221.4 

iss.e 

5b 

38.3 

32.1 

10 

84.3 

70.7 

70 

i3o.2 

109.3 

3o 

176.2 

1  47  -8 

90 

222.2 

186.4 

5i 

39.1 

32.8 

III 

85.o 

7i.3 

I7I 

i3i  .0 

109.9 

23l 

i77-o 

M8.5 

291 

222.9 

187.1 

52 

39.8 

33.4 

12 

85.8 

72.0 

72 

i3i.8 

1  10.6 

32 

177.7 

149.1 

92 

223.7 

187.7 

53 

4o.6 

34.i 

i3 

86.6 

72.6 

73 

i32.5 

II  I  .2 

33 

178.5 

149.8 

93 

224.5 

188.3 

54 

4i-4 

34.7 

i4 

87.3 

73.3 

74 

i33.3 

in.  8 

34 

179.3 

i5o.4 

94 

225.2 

189.0 

55 

42.1 

35.4 

i5 

88.1 

73.9 

75 

i34.i 

112.  5 

35 

1  80.0 

i5i.i 

95 

226.0 

189.6 

5b 

42  .9 

36.o 

16 

88.9 

74-6 

76 

1  34.  8 

n3.i 

36 

180.8 

l5l.7 

06 

226.7 

190.3 

5? 

43.7 

36.6 

17 

89.6 

75.2 

77 

i35.6 

ii3.8 

37 

181.6 

i5a.3 

97 

227.5 

190.9 

58 

44.4 

37.3 

18 

90.4 

75.8 

78 

i36.4 

n4.4 

38 

182.3 

1  53.o 

98 

228.3 

191.6 

59 

45.2 

37-9 

19 

91.2 

76.5 

79 

i37.i 

n5.i 

39 

i83.i 

1  53.6 

99 

229.0 

192.2 

60 

46.o 

38.6 

20 

91.9 

77-i 

80 

137.9 

ii5.7 

4o 

183.9 

i54.3 

3oo 

229.8 

1928 

I)C£ 

Lat. 

Dist. 

Dep. 

L.at. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist.    Dep. 

Lat. 

[For  50  Degrees. 

TABLE   II.                                            rPuses? 

Difference  uf  Latitude  and  Departure  for  41  Degrees 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

)ist. 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist. 

Lat.     Dep. 

I 

00.8 

00.7 

61 

46.0 

4o.o 

21 

9i.3 

79-4 

181 

36.6 

118.7 

24. 

181.9 

58.i 

2 

oi.5 

oi.3 

62 

46.8 

4o.7 

•22 

92.1 

80.0 

82 

37-4 

119.4 

42 

182.6 

58.8 

3 

02.3 

02.  o 

63 

47-5 

4i.3 

23 

92.8 

80.7 

83 

i38.i 

I  20.  1 

43    i83.4 

59.4 

4 

o3.o 

02.6 

64 

48.3 

42.0 

24 

93.6 

81.4 

84 

38.9 

I20.7 

44 

184.1 

60.  1 

5 

o3.8 

o3.3 

65 

49.1 

42.6 

25 

94.3 

82.0 

85 

139.6 

I2I.4 

45 

184.9 

60.7 

6 

o4-5 

o3.9 

66 

49-8 

43.3 

26 

95.i 

82.7 

86 

1  4o.4 

122.0 

46 

i85.7 

61.4 

7 

o5.3 

o4-6 

67 

5o.6 

44.o 

27 

95.8 

83.3 

87 

i4i-i 

I22.7 

47 

186.4 

62.0 

8 

06.0 

05.2 

68 

5i.3 

44.6 

28 

96.6 

84.0 

88 

141.9 

123.3 

48 

.87.2 

62.7 

.9 

06.8 

05.9 

69 

52.  I 

45.3 

29 

97-4 

84.6 

89 

142.6 

124.0 

49 

187-9 

63.4 

10 

o7.5 

06.6 

70 

52.8 

45.9 

3o 

98.1 

85.3 

9° 

i43.4 

124.7 

5o 

188.7 

64.0 

1  1 

o8.3 

07.2 

7I 

53.6 

46.6 

i3i 

98-9 

85.9 

191 

i44.i 

125.3 

25l 

189.4 

64-7 

.2 

09.1 

07  9 

72 

54.3 

47-2 

32 

99.6 

86.6 

92 

1  44  -9 

126.0 

52 

190.2 

65.3 

i3 

09.8 

08  5 

55.i 

47-9 

33 

100.4 

87.3 

93 

i45.7 

126.6 

53 

190.9 

66.0 

i4 

10.6 

09    2 

74 

55  8 

48.5 

34 

IOI  .1 

07.9 

94 

i46.4 

127-3 

54 

191.7 

166.6 

.5 

n.3 

09  8 

75 

56.6 

49-2 

35 

loi  .9 

88.6 

95 

147-2 

127-9 

55 

192.5 

i67.3 

,6 

12.  I 

10  5 

76 

57-4 

49.9 

36 

102.6 

89.2 

96 

147-9 

128.6 

56 

193.2 

1  68.0 

17 

.2.8 

II     2 

77 

58.i 

5o.5 

37 

io3.4 

89.9 

97 

i48-7 

129.2 

57 

194.0 

1  68  .6 

.8 

i3.6 

n  8 

78 

58.9 

5l.2 

38 

io4-  1 

90.5 

98 

149.4 

129.9 

58 

194.7 

169.3 

'9 

i4-3 

12    5 

79 

59.6 

5..8 

39 

io4-9 

91.2 

99 

I50.2 

i3o.6 

59 

195.5 

169.9 

20 

.5.1 

i3  i 

80 

60.4 

52.5 

4o 

io5.7 

91.8 

200 

150.9 

l3l.2 

60 

196.2 

i7o.6 

21 

.5.8 

i3.8 

8. 

61.1 

53.i 

i4i 

106.4 

92.5 

201 

,5i.7 

i3i.9 

261 

197.0 

171.2 

22 

.6.6 

i4.4 

82 

61  .9 

53.8 

42 

107.2 

93.2 

O2 

i52.5 

i32.5 

62 

197-7 

171.9 

23 

|7.4 

83 

62.6 

54.5 

43 

107.9 

93.8 

o3 

i53.2 

i33.2 

63 

198.5 

.72.5 

24 

18.1 

i5.7 

84 

63.4 

55.i 

44 

108.7 

94-5 

04 

1  54.0 

i33.8 

64 

199.2 

1732 

25 

18.9 

16.4 

85 

64.2 

55.8 

109.4 

95.i 

o5 

1  54-7 

i34.5 

65 

200.0 

J73.9 

76 

19.6 

.7  i 

86 

64-9 

56.4 

46 

I  10.2 

95.8 

06 

i55.5 

i35.i 

66 

200.8 

174.5 

27 

20.4 

'7-7 

87 

65.7 

57.i 

47 

I  10.9 

96.4 

°7 

.56.2 

i35.8 

67 

201.5 

175.2 

28 

21.1 

18.4 

88 

66.4 

57.7 

48 

111-7 

97.1 

08 

i57.o 

1  36.5 

68 

202.3 

175.8 

29 

21.9 

.9.0 

89 

67.2 

58.4 

49 

112.  5 

97-8 

09 

i57.7 

i37.i 

69 

2O3.O 

176.5 

3o 

22  .6 

19.7 

90 

67-9 

59.0 

5o 

II3.2 

98.4 

10 

1  58.5 

i37.8 

70 

2o3.8 

I77.I 

3. 

23.4 

20.3 

9' 

68.7 

59-7 

i5i 

i  i4.o 

99.1 

211 

1  59.2 

1  38.4 

271 

2C4-5 

177-8 

3? 

24.2 

21  .0 

92 

69.4 

60.4 

52 

1  14-7 

99-7 

12 

1  60.0 

139.1 

72 

2o5.3 

178.4 

33 

24.9 

21.6 

93 

70.2 

61  .0 

53 

u5.5 

100.4 

l3 

160.8 

^39.7 

73 

206.0 

I79.I 

34 

75.7 

22.3 

94 

70.9 

61.7 

54 

116.2 

101  .0 

1^ 

i6i.5 

1  4o-4 

74 

206.8 

179.8 

35 

26.4 

23.0 

95 

71  .7 

67.3 

55 

.17.0 

IOI  .7 

i5 

162.3 

i4i.i 

75 

207.5 

180.4 

36 

27.2 

23.6 

96 

72.5 

56 

117.7 

102.3 

16 

i63.o 

i4i-7 

76 

20&.3 

181.1 

38 

27.9 

28.7 

24.3 

24.9 

97 

08 

73.2 
74.0 

63.6 
64.3 

57 
58 

u8.5 
1  19.2 

io3.o 
io3.7 

17 
18 

i63.8 
i64.5 

142.4 
i43.o 

77 
78 

209.1 

209.^ 

181.7 
182.4 

39 

4o 

29.4 
30.2 

25.6 
26.2 

99 
.00 

74.7 

75.5 

64-9 
65.6 

S 

120.0 
120.8 

io4-3 
io5.o 

19 

20 

i65.3 
1  66.0 

.43.7 
i44-3 

79 
80 

210.6 
2  I  1.  3 

.83.0 
183.7 

4i 

30.9 

26.9 

IOI 

76.2 

66.3 

161 

121.  5 

io5.6 

221 

1  66.8 

i45.o 

281 

212.  1 

184.4 

42 

3,   4 

27    6 

02 

77.0 

66.9 

122.3 

io6.3 

22 

167.5 

i45  6 

82 

212.8 

i85.o 

43 

32.5 

2.8.2 

o3 

77-7 

67.6 

63 

123.0 

106.9 

2: 

i68.3 

1  46.3 

83 

2  1  3.6 

i85.7 

44 
45 
46 
47 
48 

49 
5o 

33.2 
34.o 
34-7 

36^2 
37.0 
37.7 

28.9 

29.5 

30.2 

3o.8 
3i.5 

32.1 

32.8 

o4 
o5 
06 
07 
08 
09 

10 

78.5 
79-2 

80.0 

bo.  8 
8i.5 
82.3 
83.o 

68.2 
68.9 
69.5 

70.2 
70.9 
71.5 
72.2 

64 
65 
66 
67 
68 
69 
70 

123.8 
124.5 
125.3 
126.0 
126.8 
127.5 
128.3 

io7.6 
108.2 
108.9 
109.6 

I  10.2 
I  10-9 

ii  i  .5 

2/ 
2  5 

26 

27 
28 
29 
3o 

169.1 
.69.8 
i7o.6 

I72.I 
172.8 
173.6 

1  47-o 
1  47  -6 
1  48.  3 
148.9 
149-6 
i5o.2 
i5o.9 

84 
85 
86 

87 
88 
89 
9° 

214.3 

2I5.I 

2i5.8 
216.6 
217.4 
218.  1 
218.9 

i86.3 
187.0 
187.6 
i88.3 
188.9 
1896 
i9o.3 

~sT 

38,5 

33.5 

1  1  1 

83.8 

72.8 

1-71 

129.  i 

112.2 

23l 

174-3 

i5i.5 

291 

219.6 

190.9 

52 

53 

39.2 
4o.o 

34.i 
34.8 

12 

i3 

84.5 
85.3 

73.5 

74.1 

72 
73 

129.8 
i3o.6 

112.8 

ii3.5 

32 

33 

I75.i 

175.8 

152.2 
152.0 

93 

220.4 

221.  1 

191.6 
192.2 

54 
55 
56 

57 
58 

4o.8 
4i.5 
42.3 
43.0 
43.8 
44.5 
45.3 

35.4 
36.i 
36.- 

37.4 
38  .7 
38.  7 
39.4 

i4 
i5 
16 
17 
18 

19 

20 

86.0 
86.8 
87.5 
88.3 
89.1 
89.8 
90.6 

74-8 
75.4 
76.1 
76.8 

77-4 
78.i 

78.  7 

74 
75 
76 
77 
78 

79 
80 

i3i.3 

|  I32.I 

i32.8 
i33.6 
•  134.3 
i35.i 
i35.8 

114.2 
n4.8 
n5.5 
116.1 
116.8 
u7.4 
118.1 

34 
35 
36 
37 
38 
39 
4o 

176.6 

177-4 
178.1 
178-9 
179-6 
i8o.4 
181.1 

i53.5 
i54-2 
1  54.8 
i55.5 
1  56.  i 
1  56.8 
i57.5 

94 

96 

97 

98 

99 
3oo 

221.9 

222.6 
223.4 

224. 
224.9 

226.4 

194.2 
194.8 

196.6 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

Dist 

Dep. 

|     Lat. 

Dis 

Dep. 

Lai. 

Dist 

Dep 

Lat. 

[For  49  Degrees. 

iv,-e58j                                             TABLE  II. 

Difference  of  Latitude  and  Departure  for  42  Degrees. 

Dist. 

Lat. 

Dop. 

Dist. 

Lai. 

Dcp. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dop. 

I 

00.7 

00.7 

6l 

45.3 

4o.8 

121 

89-9 

81.0 

181 

i34-5 

121  .1 

241 

179.1 

161  3 

2 

oi.5 

oi.3 

62 

46.1 

4i.5 

22 

oo  .7 

81.6 

82 

i35.3 

121.8 

42 

179-8 

161.9 

3 

02.  a 

02.0 

63 

46.8 

42.2 

23 

91  .4 

82.3 

83 

1  36.o 

122.5 

43 

1806'  162.6 

4 

o3.o 

02.7 

64 

47-6 

42.8 

24 

92.1 

83.o 

84 

i36.7 

I23.I 

44 

181.3    i63.3 

5 

o3.7 

o3.3 

65 

48.3 

43.5 

25 

92.9 

83.6 

85 

i37.5 

123.8 

45 

182.1 

1  63  .9 

6 

o4.5 

o4.o 

66 

49.0 

44-2 

26 

93.6 

84.3 

86 

i38.2 

124.5 

46 

182.8 

1  64-6 

7 

05.2 

o4-7 

67 

49.8 

44.8 

27 

94.4 

85.o 

87 

i39.o 

125.  1 

47 

i83.6 

i65.3 

8 

o5.9 

o5.4 

68 

5o.5 

45.5 

28 

95.i 

85.6 

88 

139.7 

125.8 

48 

1  84.3 

165.9 

9 

06.7 

06.0 

69 

5i.3 

46.2 

29 

95.9 

86.3 

89 

i4o.5 

126.5 

49 

i85.o 

1  66.6 

10 

07.4 

06.7 

?o 

52.0 

46.8 

3o 

96.6 

87.0 

90 

l4l-2 

127.1 

5o 

i85.8 

167.3 

1  1 

08.2 

07.4 

7' 

52.  b 

47.5 

i3i 

97-4 

87.7 

191 

i4i.9 

127.8 

"a5i 

i86.5 

168.0 

12 

08.9 

08.0 

72 

53.5 

48.2 

32 

98.1 

88.3 

92 

142.7 

128.5 

52 

i87.3 

168.6 

id 

09.7 

08.7 

73 

54.2 

48.8 

33 

98.8 

89.0 

93 

143.4 

129.1 

53 

1  88.0 

169.3 

i4 

io.4 

09.4 

74 

55.o 

49.5 

34 

99.6 

89.7 

94 

i44.2 

129.8 

54 

1  88.  8 

170.0 

i5 

1  1  .  1 

IO.O 

75 

55.7 

50.2 

35 

ioo.3 

9o.3 

95 

i44.9 

i3o.5 

55 

189.5 

170.6 

16 

11.9 

10.7 

76 

56.5 

5o.9 

36 

101  .1 

91  .0 

96 

i45.7 

i3i.i 

56 

190.2 

i7i.3 

17 

12.6 

n.4 

77 

57.2 

5i.5 

37 

101  .8 

91.7 

97 

1  46  .4 

i3i.8 

57 

191.0 

172.0 

18 

i3.4 

12.0 

78 

58.o 

52.2 

38 

102.6 

92.3 

98 

i47.i 

i3a.5 

58 

191.7 

172.6 

*9 

14.1 

12.7 

79 

58.7 

52.9 

39 

io3.3 

93.o 

99 

i47-9 

i33.2 

59 

192.5 

i73.3 

20 

14.9 

i3.4 

80 

59.5 

53.5 

4o 

104.0 

93.7 

200 

i48.6 

1  33.8 

60 

193.2 

i74.o 

21 

i5.6 

14.1 

81 

60.2 

54-2 

i4i 

104.8 

94.3 

201 

149.4 

i34.5 

261 

194.0 

174-6 

22 

i6.3 

14.7 

82 

60.9 

54-9 

42 

io5.5 

95.o 

02 

iSo.i 

i35.2 

62 

194.7 

i75.3 

23 

17.1 

i5.4 

83 

61.7 

55.5 

43 

io6.3 

95.7 

03 

i5o-9 

i35.8 

63 

195.4 

176.0 

24 

17.8 

16.1 

84 

62.4 

56.2 

44 

107.0 

0.4 

04 

i5i.6 

i36.5 

64 

196.2 

176.7 

25 

18.6 

16.7 

85 

63.2 

56.o 

45 

107.8 

97.0 

o5 

i5a.3 

l37.2 

65 

196.9 

177-3 

26 

i9.3 

17-4 

86 

63.9 

57.5 

46 

io8.5 

97-7 

06 

i53.i 

i37.8 

66 

I97-7 

178.0 

27 

20.1 

18.  . 

87 

64.7 

58.2 

47 

109.2 

98.4 

07 

1  53.8 

i38.5 

67 

198.4 

178-7 

28 

20.8 

18.7 

88 

65.4 

58.9 

48 

110.  0 

99.0 

08 

1  54  .6 

139.2 

68 

199.2 

179.3 

29 

21.6 

19.4 

89 

66.1 

59.6 

49 

1  10.7 

99-7 

°9 

i55.3 

1  39.8 

69 

199.9 

1  80.0 

3o 

22.3 

20.  I 

90 

66.9 

60.2 

5o 

in.  5 

100.4 

10 

1  56.  i 

i4o.5 

70 

200  .6 

180.7 

3i 

23.0 

20.7 

91 

67.6 

60.9 

i5i 

I  12.2 

101  .0 

211 

i56.8 

141.2 

271 

20  1  .4 

181.3 

32 

23.8 

21.4 

92 

68.4 

61.6 

62 

I  l3.0 

101  .7 

12 

i57.5 

i4i-9 

72 

202.1 

182.0 

33 

24.5 

22.1 

93 

69.1 

62.2 

53 

il3.7 

102.4 

33 

1  58.3 

i42.5 

73 

202-9 

l82.7 

34 

25.3 

22.8 

94 

69.9 

62.9 

54 

u4.4 

io3.o 

i4 

159.0 

i43.2 

74 

203.6 

i83.3 

35 

26.0 

23.4 

95 

*      £ 
7O.O 

63.6 

55 

I  l5.2 

i  o3  .  7 

i5 

i59.8 

i43.9 

75 

204.4 

184.0 

36 

26.8 

24.1 

96 

7i.3 

64.2 

56 

1  15.9 

io4-4 

16 

i6o.5 

i44.5 

76 

205.1 

184.7 

37 

27.5 

24.8 

97 

72.1 

64.9 

57 

116.7 

io5.i 

17 

i6i.3 

i45.2 

77 

205.9 

i85.3 

38 

28.2 

25.4 

98 

72.8 

65.6 

58 

117.4 

io5.7 

18 

162.0 

145.9 

78 

206.6 

186.0 

39 

29.0 

26.1 

99 

73.6 

66.2 

59 

118.2 

106.4 

J9 

162.7 

i46.5 

79 

207.3 

186.7 

4o 

29.7 

26.8 

100 

74.3 

66.9 

60 

118.9 

107.1 

20 

i63,5 

l47.2 

80 

208.1 

187.4 

4i 

3o.5 

27.4 

101 

75.i 

67.6 

161 

1  19.6 

107.7 

221 

164.2 

i47-9 

281 

208.8 

188.0 

42 

3l.2 

28.1 

02 

75.8 

68.3 

62 

120.4 

108.4 

22 

t65.o 

i48.5 

82 

209.6 

188.7 

43 

3i.o 

28.8 

o3 

76.5 

68.9 

63 

121  .1 

109.1 

23 

i65.7 

149-2 

83 

210.3 

189.4 

44 

32.- 

29.4 

o4 

77-3 

69.6 

64 

121  .9 

109.7 

24 

i66.5 

1  49-9 

84 

21  I.  I 

190.0 

45 

33.4 

3o.i 

o5 

78.0 

70.3 

65 

122.6 

110.4 

25 

167.2 

i5o.6 

85 

2II.8 

190.7 

46 

34.2 

3o.8 

06 

78.8 

70.9 

66 

123.4 

in.  i 

26 

168.0 

l5l.2 

86 

212.5 

191.4 

47 

34-9 

3.  .4 

07 

79-5 

71.6 

67 

124.  I 

111.7 

27 

168.7 

1  5  1.  9 

87 

ai3.3 

192.0 

48 

35.7 

32.1 

08 

8o.3 

72.3 

68 

124.8 

1  12.4 

28 

169.4 

1  52.6 

88 

2  I  4-0 

192.7 

49 

36.4 

32.8 

09 

81  .0 

72.9 

69 

125.6 

ii3.i 

29 

170.2 

i53.2 

89 

214.8 

193.4 

So 

37.2 

33.5 

10 

81.7 

73.6 

70 

126.3 

u3.8 

3o 

1-709 

1  53.  9 

9° 

2  1  5.  5 

194.0 

5i 

37.9 

34.1 

1  1  1 

82.5 

74-3 

171 

127.1 

ii4.4 

23l 

I7J  7 

1  54.  6 

291 

2i6.3 

194.7 

52 

38.6 

34.8 

12 

83.2 

74-9 

72 

127.8 

u5.i 

32 

172.4 

i55.2 

92 

217.0 

195.4 

53 

39.4 

35.5 

i.3 

84.o 

75.6 

73 

128.6 

u5.8 

33 

I73.2 

i55.9 

93 

217.7 

196.1 

54 

4o.  i 

36.i 

i4 

84-7 

76.3 

74 

129.3 

116.4 

34 

173.9    1  56.6 

94 

2i8.5 

196.7 

5S  4o.9 

36.8 

i5 

85.5 

77-0 

75 

i3o.i 

117.1 

35 

174-6 

l57.2 

95 

219.2 

197.4 

56 

4  1.  6 

37.5 

16 

86.2 

77-6 

76 

i3o.8 

117.8 

36 

175.4 

i57-9 

96 

22O.O 

198.1 

57 

42.4 

38.i 

17 

86.9 

78.3 

77 

i3i.5 

118.4 

37 

176.1 

i58.6 

97 

22O.7 

198.7 

58 

43.1 

38.8 

18 

87.7 

79.0 

78 

t.32.3 

119.1 

38 

176.9 

i59-3 

98 

221.5 

•  99-4 

59 

43.8 

39.5 

'9 

88.4 

79-6 

79 

i33.o 

119.8 

39 

177.6 

1  59.9 

99 

222.2 

200.  i 

60 

44-6 

4o  .  i 

20 

89.2 

8o.3 

80 

i33.8 

1  20.4 

4o 

178.4 

160.6 

3oo 

222.9 

200.7 

Di^u 

Dcp.  |  Lat. 

Dist.  |  Dep. 

Lat. 

Dist.|    Dop.       Lat. 

Dist. 

Dep. 

Lat. 

Dist 

Dep. 

Lat. 

I  For  48  Degrees. 

TABLE   II. 

Difference  of  Latitude  and  Departure  for  43  Degrees. 

fPage  5'J 
Lat.  |  Dep. 

D  si. 

Lai. 

Dep. 

)isl. 

Lai. 

Dep. 

1st. 

Lai. 

Dep. 

)isl. 

Lai. 

Dep. 

)isl 

00.7 

00.7 

61 

44.6 

4,  .6 

21 

88.5 

82.5 

81 

,32.4 

123.4 

24, 

176.3!  n64-4 

2 

01.5 

01  .4 

62 

45.3 

42.3 

22 

89.2 

83.2 

82 

,33.i 

124.1 

42    ,77.0    165.0 

3 

O2  .2 

02.  o 

63 

46.i 

43.o 

23 

90.0 

83.  9 

83 

,33.8 

124.8 

43 

1777 

165.7 

4 

02-9 

02.7 

64 

46.8 

43.6 

24 

90.7 

84.6 

84 

,34-6 

,25.5 

44 

178.5 

1  60.4 

5 

03.7 

o3.4 

65 

47-5 

44.3 

25 

91.4 

85.2 

85 

,35.3 

126.2 

45 

,79.2 

167.1 

6 

o4-4 

o4-i 

66 

48.3 

45.o 

26 

92.2 

85.9 

86 

,36.o 

126.9 

46 

'79-9 

167.8 

o5.i 

04.8 

67 

49.0 

45.7 

27 

92.9 

86.6 

87 

i36.8 

127.5 

47    180.6 

,68.5 

8 

>5.9 

o5.5 

68 

49.7 

46.4 

28 

93.6 

87.3 

88 

,37.5 

128.2 

48 

181.4 

169.1 

9 

06.6 

06.  i 

69 

5o.5 

47-1 

29 

94.3 

88.0 

89 

,38.2 

128.9 

49 

182.1 

169.8  I 

10 

07.3 

06.8 

70 

5l.2 

47-7 

3o 

95.i 

88.7 

90 

139.0 

,29.6 

5o 

182.8 

170.5 

ii 

08.  o 

07.5 

71 

5i.9 

48.4 

i3i 

95.8 

89.3 

,91 

1  39.7 

,3o.3 

25, 

,83.6 

171.2 

12 

08.8)08.2 

72 

52.7 

49.1 

32 

90.5 

90.0 

92 

,4o.4 

,3o-9 

52 

i84.3 

171.9 

i3 

09.5 

08.9 

73 

53.4 

49.8 

33 

97-3 

90.7 

93 

,41.2 

,3i.6 

53 

i85.o 

172.5 

,4 

,0.2 

09.5 

74 

54.i 

5o.5 

34 

98.0 

91  -4 

94 

,41-9 

,32.3 

54 

,85.8 

173.2 

i5 

I  (  .0 

10.2 

•75 

54-9 

5i  .  i 

35 

98.7 

92.1 

95 

,42.6 

,33.o 

55 

,86.5 

173.9 

16 

II  .7 

10-9 

76 

55.6 

5i.8 

36 

99.5 

92.8 

96 

,43.3|  i33.7 

56 

187.2 

174.6 

12.4 

1  1  .6 

77 

56.3 

52.5 

37 

100.2 

93.4 

97 

,44.t 

,34-4 

57 

188.0 

i75.3 

18 

,3.2 

12.3 

78 

57.0 

53.2 

38 

100-9 

94.1 

98 

,44-8 

,35.o 

58 

188.7 

176.0 

19 

13.9 

i3.o 

79 

57.8 

53.9 

39 

101.7 

94.8 

99 

i45.5 

,35.7 

59 

189.4 

,76.6 

20 

,4-6 

i3.6 

80 

58.5 

54.6 

4o 

102.4 

95.5 

200 

i46.3 

1  36.4 

bo 

190.2 

177-3 

2  I 

i5.  4 

i4.3 

81 

5o  2 

55.2 

i4, 

io3.i 

90.2 

20, 

,47.0 

i37., 

261 

190.9 

178.0 

22 

16.1 

i5.o 

8? 

60  .  o 

55.9 

42 

io3.9 

96.8 

02 

i47-7 

i37.8 

62 

191  .6 

178.7 

23 

16.8 

i5.7 

83 

60.7 

56.6 

43 

104.6 

97.5 

03 

,48.5 

1  38  .4 

63 

192.3 

179.4 

24 

17,6 

,6.4 

84 

61  .4 

57.3 

44 

io5.3 

98    2 

o4 

,49.2 

,39.1 

64 

193.1 

180.0 

25 

i8.3 

,7.0 

85 

62.2 

58.o 

45 

106.0 

9<(5  .  9 

ob 

,49.9 

,39.8 

65 

193.8 

180.7 

26 

27 

19.0 
19.7 
20.  5 

17-7 
l8.4 
IQ.  I 

86 

87 
88 

62.9 
63.6 
64.4 

58.7 
59.3 
60.0 

46 
47 
48 

106.8 

107-5 
108.2 

99.6 

IOG.O 
IOO-9 

06 

07 
08 

i5o.7 
i5i.4 

I52.I 

,4o.5 
i4>.a 

l4l.Q 

66 
67 
68 

194.5 
i95.3 
196.0 

,81.4 
182.1 

182.8 

20 

21.2 

19.8 

89 

65.i 

60.7 

49 

109.0 

09 

l52.9 

i42.5 

69 

,96.7 

i83.5 

3o 

21  .9 

20.5 

9° 

65.8 

6,.4 

5o 

109.7 

102.3 

10 

,53.6 

i43.2 

70 

197.5 

184.  i 

22    7 

21     I 

o, 

66.6 

67.1 

i5i 

110.4 

io3.o 

2,  I 

,54-3 

i43.9 

271 

,98.2 

184.8 

32 

23    4 

21    8 

02 

67.3 

6?.  7 

57 

III  .2 

io3.7 

'2 

i55.o 

i44-6 

72 

,98.9 

i85.5 

33 

34 

24-1 
24.9 

22.5 
23.2 

93 

O/i 

68.0 

68  7 

63.4 

53 

54 

III  .9 
112.  6 

io4.3 
io5.o 

,3 
i4 

,55.8 
,565 

i45.3 
i45.9 

73 
74 

199.7 

200-4 

186.2 
B6.o 

35 

36 

25.6 
26  3 

23.9 
24.6 

1 

06 

69.5 

7O.2 

64.8 
65.5 

55 

5f 

n3.4 

io5.7 
106.4 

i5 
16 

1  58.o 

i46.6 
i47.3 

76 

2O1  .1 
|  201-9 

187.5 
188.2 

37 
38 
39 

4o 

27.1 
27.8 
28.5 
29.3 

2D.2 
25.9 
26.6 
27.3 

97 
98 

99 

100 

70.9 
71-7 

73!, 

66.2 
66.8 
67.5 
68.2 

57 
58 
59 
60 

n4-8 
ii5.6 
,i6.3 
117.0 

107.  i 
107.8 
108.4 
109.1 

18 
'9 

20 

1  58.7 
159.4 
160.2 
160.9 

i48.o 
i48.7 
149.4 
,5o.o 

77 
78 

79 
80 

2O2.6 

203.3 

2O4  .0 

204.8 

Iei8.9 
189.6 
190.3 
191.0 

4i 

42 

43 
44 
45 
46 
47 
48 

i9 

5o 

3o.o 
3o.~ 
3,.4 

32.2 

33^6 
34.4 
35.i 
35.8 
36.6 

28.0 
28.6 
20.3 

3o.o 
3o.7 
3,.  4 

32.1 

32.7 
33.4 
34.i 

,0' 

02 
o3 
o4 
o5 
06 
07 
08 
09 
id 

-3.9 

74-6 
75.3 
76.1 
76.8 
77-5 
78.3 
79.0 
79-7 
8o.4 

68.9 
69.6 
70.2 
70.9 
71.6 
72.3 
73.o 
73.7 
74.3 
75.o 

161 
62 
63 
64 
65 
66 
67 
68 
69 
70 

117-7 
n8.5 
i  ,9.2 
119.9 
120.7 

121  .4 
122.  I 
122.9 

,23.6 
124.3 

109.8 
no.  5 

III  .2 

in.  8 

112.  5 
113.2 

,,3.9 

1,4.6 
n5:9 

221 
22 
23 
24 
25 
2.6 

27 
28 

g 

3o 

161.6 
162.4 
i63.i 
i63.8 
164.6 
,65.3 
1  66.0 
166.7 
,67.5 
168.2 

i5o.7 
i5i.4 

I52.I 

i52.8 
i53.4 
i54-i 
1  54-8 
i55.5 
1  56.2 
1  56.9 

281 
82 
83 
84 
85 
86 
87 
88 
89 
9° 

2o5.5 
206.2 
207.0 
207.7 
208.4 
209.2 
209.9 

210.6 

211.4 

2,2.1 

,91.6 
192.3 
193.0 
,93.7 

194.4 

,95.i 
195.7 
196.4 
197.1 

197.8 

~57 

52 

53 
54 
55 
56 

57 
58 

37.3 
38.o 
38.8 
39.5 
40.2 
4i.o 
4i-7 
42.4 
43   ' 
43-9 

34.8 
35.5 
36.i 
36.8 
37.5 
138.2 
38.9 
39.6 
!  4o  .  2 
40.9 

,  i  , 

,2 

i3 

i4 
,5 
,6 

'7 
,8 

'9 

2C 

8,.  2 

81.9 
82.6 
83.4 
84-1 
84-8 
85.6 
86.3 
87.0 
87.8 

75-7 
76.4 
77- 
77-7 
78.4 
79- 

81! 
8,. 

17 
72 
73 
74 

7 
76 

7 
7 
7 
8 

D- 

125.1 

125.8 
126.5 
127.3 
128.0 
128.7 
129.4 
,3o.2 
,3o.9 
i3i.6 

Dpri 

,  16.6 
1,7-3 
1,8.0 
1,8.7 
1,9.3 
120.  o 

,20.7 
,21  .i 
I  2  2  .  I 
122.8 

I  al 

23, 
32 

33 
34 
35 
36 

37 
38 
39 
4o 

Dst 

168.9 
169.7 
170.4 
171.1 
171.9 
172.6 
,73.3 
,74-1 
,74-8 
,75.5 

Deo. 

158^2 
1  58.  9 
,5,2 
i6o.3 
161.0 
161.6 
,62.3 
1  63.o 
1  63.7 
Lat. 

29, 

93 
94 

96 

97 
98 

99 
3oo 

Dist 

2,2.8 

21  3.6 

2,4.3 

2,5.0 

2i5-7 

216.5 

217.2 
217.9 
218.7 
219.4 
Dep. 

198.5 
199.1 
199.8 

200.5 
201.2 
201.9 
202.6 
2O3.2 

2o3.9 
2046 

Lat. 

.   I),-,) 

Lai. 

Dist 

Dep 

[For  47  Degrees. 

Page  60]                                                               TABLE    II. 

Difference  of  Latitude  and  Departure  for  44  Degrees. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

Dcp. 

Di.st. 

Lat. 

Dcp. 

Dist. 

Lat. 

Dep. 

Dist. 

Lat. 

De].. 

j 

00.7 

00.7 

6l 

43.9 

42.4 

121 

87  o 

84.1 

181 

130.2 

125.7 

241 

173.4 

167.4 

2 

01  .4 

OI  .4 

62 

44-6 

43.i 

22 

8-.  8 

84.7 

82 

i3o.9 

126.4 

42 

174.1 

1  68.  i 

3 

O2  .  2 

02.  1 

63 

45.3 

43.8 

23 

88.5 

85.4 

83 

i3i.6 

127.1 

43 

174.8 

1  68  .8 

4 

02.9 

02.8 

64 

46.o 

44-5 

24 

89.2 

86.1 

84 

i32.4 

127.8 

44 

i75.5 

169.6 

5 

o3.6 

o3.5 

65 

46.8 

45.2 

25 

89.9 

86.8 

85 

i33.i 

128.5 

45 

176.2 

170.2 

6 

o4.3 

04.2 

66 

47.5 

45.8 

26 

90.6 

87.5 

86 

i33.8 

129.2 

46 

177.0 

170.9 

7 

o5.o 

04.9 

67. 

48.2 

46.5 

27 

91.4 

88.2 

87 

i34.5 

129.9 

47 

177-7 

171.6 

8 

o5.8 

o5.6 

68 

48.9 

47-2 

28 

92.1 

88.9 

88 

i35.2 

i3o.6 

48 

178.4 

172.3 

9 

o6.5 

o6.3 

69 

49.6 

47-9 

29 

92.8 

89.6 

89 

i36.o 

i3i.3 

49 

179.1 

173.0 

10 

07.2 

06.9 

70 

5o.4 

48.6 

3o 

93.5 

90.3 

90 

1  36.7 

l32.0 

5o 

179.8 

173.7 

ii 

07.9 

07.6 

7i 

5i.i 

49.3 

i3i 

94.2 

91.0 

191 

i37.4 

i32.7 

261 

180.6 

174-4 

12 

08.6 

c>8.3 

72 

5i.8 

5o.o 

32 

95.0 

91.7 

92 

i38.i 

i33.4 

62 

i8i.3 

i75.i 

i3 

09.4 

09.0 

73 

52.5 

5o.7 

33 

95.7 

92.4 

93 

i38.8 

i34.i 

53 

182.0 

175.7 

i4 

10.  I 

09.7 

74 

53.2 

5i.4 

34 

96.4 

93.1 

94 

139.6 

1  34.8 

54 

182.7 

176.4 

i5 

10.8 

io.4 

75 

54.0 

52.1 

35 

97.1 

93.8 

95 

i4o.3 

i35.5 

55 

i83.4 

177.1 

16 

u.  5 

u  .  i 

76 

54.7 

52.8 

36 

97.8 

94.5 

96 

i4i.o 

1  36.a 

56 

184.2 

177-8 

i? 

12.2 

11.  8 

77 

55.4 

53.5 

37 

98.5 

95.2 

97 

141.7 

1  36.8 

57 

184.9 

i78.5 

18 

12.9 

12.5 

78 

56.i 

54.2 

38 

99.3 

95.9 

98 

142.4 

i37.5 

58 

186.6 

179.2 

19 

i3.? 

13.2 

79 

56.8 

54-9 

39 

100.  0 

96.6 

99 

i43.i 

i38.2 

59 

i86.3 

179.9 

20 

i4.4 

i3.9 

Bo 

57.5 

55.6 

4o 

100.7 

97-3 

200 

143.9 

1  38  .9 

60 

187.0 

180.6 

21 

i5.i 

i4.6 

81 

58.3 

56.3 

i4i 

101  .4 

97-9 

201 

1  44-6 

139.6 

261 

187.7 

i8i.3 

22 

i5.8 

i5.3 

82 

59.0 

57.o 

42 

IO2  .  I 

98.6 

O2 

i45.3 

i4o.3 

62 

188.6 

182.0 

23 

i6.5 

16.0 

83 

59.7 

57  7 

43 

102.9 

99.3 

o3 

1  46.o 

i4i-o 

63 

189.2 

182.7 

24 

i7.3 

16.7 

84 

60.4 

58.4 

44 

io3.6 

IOO.O 

o4 

146.7 

141.7 

64 

189.9 

i83.4 

25 

18.0 

17.4 

85 

61.1 

59.0 

45 

ip4.3 

100.7 

o5 

i47-5 

142.4 

65 

190.6 

184.1 

26 

18.7 

18.1 

86 

61.9 

59-7 

46 

ibS.o 

ioi  .4 

00 

i48.2 

i43.i 

66 

191.3 

184.8 

27 

19.4 

18.8 

87 

62.6 

60.4 

47 

io5.7 

102.  I 

07 

148.9 

i43.8 

67 

192.1 

i85.5 

28 

20.1 

19.5 

88 

63.3 

61.1 

48 

io6.5 

102.8 

08 

149.6 

i44.5 

68 

192.8 

186.2 

29 

20.9 

20.1 

89 

64.0 

61.8 

49 

107.2 

io3.5 

09 

i5o.3 

i45.2 

69 

193.6 

186.9 

3o 

21  .6 

20   8 

90 

64-7 

62.5 

5o 

107.9 

104.2 

10 

iSi.i 

145.9 

70 

194.2 

187.6 

"3i 

~21T3~ 

21.5 

9l 

65.5 

63.2 

i5i 

108.6 

104.9 

211 

i5i.8 

i46.6 

271 

194.9 

i88.3 

32 

23.0 

22.2 

92 

66.2 

63.9 

52 

109.3 

io5.6 

12 

i52.5 

147-3 

72 

195.7 

188.9 

33 

23.7 

22.9 

93 

66.9 

64.6 

53 

IIO.  I 

io6.3 

r3 

i53.2 

i48.o 

73 

196.4 

189.6 

34 

24.5 

23.6 

94 

67.6 

65.3 

54 

110.8 

107.0 

i4 

i53.o 

148.7 

74 

197.1 

190.3 

35 

2.5.2 

24.3 

95 

68.3 

66.0 

55 

in.  5 

107.7 

i5 

r  54.7 

149.4 

75 

197.8 

191  .0 

36 

25.9 

25.0 

96 

69.1 

66.7 

56 

I  12.2 

108.4 

16 

1  55.4 

i5o.o 

76 

198.5 

191.7 

37 

26.6 

25.7 

97 

69.8 

67.4 

57 

II2.9 

109.  i 

17 

1  56.  i 

i5o.7 

77 

199.3 

192.4 

38 

27.3 

26.4 

98 

7o.5 

68.1 

58 

u3.7 

109.8 

18 

1  56.8 

i5i.4 

78 

200.0 

193.1 

39 

28.1 

27.1 

99 

71.2 

68.8 

5c; 

ii4.4 

uo.5 

19 

157.5 

1  62.1 

79 

200.7 

193.8 

4o 

28.8 

27.8 

100 

71-9 

69.5 

60 

ii5.i 

in  .  i 

20 

i58.3 

162.8 

80 

201-4 

194.5 

4i 

29.5 

"2875" 

101 

72.7 

70.2 

161 

u5.8 

11  1  .8 

221 

139.0 

i53.5 

281 

202.1 

195.2 

42 

30.2 

29.2 

02 

73.4 

70.9 

62 

ii6.5 

112.  5 

22 

159.7 

164.2 

82 

202-9 

195.9 

43 

30.9 

29.9 

o3 

74-1 

71  .5 

63 

ii7.3 

II3.2 

23 

160.4 

164.9 

83 

2o3.6 

196.6 

44 

3i.7 

36.6 

o4 

74.8 

72.2 

64 

118.0 

1  13.9 

24 

161.1 

i55.6 

84 

2o4-3 

197.3 

45 

32.4 

3..  3 

o5 

75.5 

72.9 

65 

118.7 

u4-6 

25 

161.9 

1  56.3 

85 

205.0 

,98.0 

46 

33.i 

32.0 

06 

76.3 

73.6 

66 

119.4 

n5.3 

26 

162.6 

167.0 

66 

206.7 

198-7 

47 

33.8 

32.6 

07 

77.0 

74.3 

67 

1  20.  i 

116.0 

27 

i63.3 

i57-7 

87 

206.5 

199.4 

48 

34.5 

33.3 

08 

77-7 

75.o 

68 

120.8 

116.7 

28 

164.0 

168.4 

88 

207.2 

200.1 

49 

35.2 

34.o 

09 

78.4 

75-7 

69 

121  .6 

117.4 

29 

164.7 

159.1 

89 

207.9 

2OO.8 

5o 

36.o 

34-7 

10 

79.1 

76.4 

70 

122.3 

118.1 

3o 

i65.4 

169.8 

90 

208.6 

2O1.5 

5i 

36.7 

35.4 

n  i 

79.8 

77.1 

171 

123.  0 

118.8 

a3i 

166.2 

i6o.5 

291 

209.3 

2O2.  [ 

52 

37-4 

36.i 

12 

80.6 

77.8 

72 

123.7 

119.5 

32 

166.9 

161.2 

92 

210.0 

202.8 

53 

38.i 

36.8 

i3 

8i.3 

78.5 

73 

124.4 

120.2 

33 

167.6 

161.9 

93 

210.8 

2o3.5 

54 

38.8 

37.5 

1  4 

82.0 

79.2 

74 

125.2 

120.9 

34 

1  68.  3 

162.6 

94 

241.5 

204  2 

C£ 
^^ 

39.6(38.2 

i5|32.7 

79-9 

75 

125-9 

121  .6 

35 

169.0 

i63.2 

95 

212.2 

204.9 

56 

4c.3 

38.  9 

i6|83.4 

80.6 

76 

126.6 

122.3 

36 

169.8 

163.9 

96 

212-9 

2o5.6 

57 

4i  .0 

39  6 

17 

84.2 

8i.3 

77 

127.3 

123.  0 

37 

170.5 

164.6 

97 

2i3.6 

206.3 

58 

41.7 

4o.3 

18 

84.  Q 

82.0 

78 

I28.O 

123.6 

38 

171.2 

i65.3 

98 

214.4 

20-  .0 

59 

42.4 

4i  .0 

19   85.6 

82.7 

79    128.8 

124  3 

39 

i"i  9 

166.0 

99 

2l5.I 

207.7 

()0 

,43.2 

4l.7 

20   86.3   83.4 

80    129.5 

125.  O 

4o 

172.6 

166.7 

3oo 

2  1  5.8 

208.4 

Dist. 

Dep. 

Lat.    ;Dist.    Dep.     Lat. 

Dist.     Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

"TaT 

[For  4C  Degrees. 

TABLE  II.                                             fl>age61 

Difference  of  Latitude  and  Departure  for  45  Degrees. 

Dist 

Lat. 

Dep 

Dist 

Lat. 

Dep 

Dis 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

Dist 

Lat. 

Dep. 

2 

3 

4 
5 
6 
7 
8 

9 

10 

00.7 
01  .4 
02.  i 

02.8 

o3.5 
04.2 
04.9 
o5.7 
06.4 
07.1 

00.7 
01  .4 

02.1 
02.8 

o3.5 
04.2 
04.9 
o5.7 
06.4 
07.1 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

43.i 
43.8 
44-5 
45.3 
46.o 
46.7 
47-4 
48.i 
48.8 
49.5 

43.i 
43.8 
44-5 
45.3 
46.o 
46.7 
47-4 
48.i 
48.8 
49-5 

121 
22 
2c 
2t 
25 
26 
27 
28 
29 

3o 

85.6 
86.3 
87.o 

87-7 
88.4 
89.1 
85.8 
90.5 
91.2 
91.9 

85.6 
86.3 
87.o 
87-7 
88.4 
89.1 
89.8 
90.5 
91.2 
91.9 

181 
82 
83 

84 
85 
86 
87 
88 
89 
9° 

128.0 
128.7 
129.4 
i3o.i 
i3o.8 
i3i.5 

132.2 

132.9 
i33.6 
i34.4 

128.0 
128.7 
129.4 
i3o.i 
i3o.8 
i3i.5 

132.2 
132.0 

i33.6 
1  34.4 

24  1 

42 
43 
44 
45 
46 
47 
48 

i9 

5o 

170.4 
171.1 
171.8 
172.5 

I73.2 

173.9 

174-7 
175.4 
i76.i 
p  i76.8 

170.4 
171.1 
171.8 
172.5 

I73.2 

173.9 

174.7 
175.4 

176.1 

176.8 

ii 

12 

i3 
i4 
i5 
16 

17 
18 

19 

20 

07.8 
o8.5 
09.2 
09.9 
10.6 
ii.3 

12.0 

12.7 

i3.4 
14.1 

07.8 
o8.5 
09.2 
09.9 
10.  b 
ii.  3 

12.0 
I2.7 

i3.4 

14.1 

7i 
72 
73 
74 
75 
76 
77 
78 

79 
80 

50.2 

5o.9 
5i.6 
52.3 
53.o 
53,7 
54-4 
55.2 
55.9 
56.6 

5o.2 
5o.9 
5i.6 
52.3 
53.o 
53.7 
54-4 
55.2 
55.9 
56.6 

i3i 

32 

33 
34 
35 
36 
37 
38 

I9 

92.6 
93.3 

94-o 
94.8 
95.5 

96.2 

96-9 
97-6 
98.3 
99-° 

92.6 
93.3 
94.0 
94.8 
95.5 
96.2 

96-9 
97-6 
98.3 
99.0 

191 
92 
93 

94 
95 

96 
97 
98 

99 

200 

i35.i 
i35.8 
i36.5 

I37.2 

i37-9 
i38.6 
i39.3 
i4o.o 
i4o.7 
i4i.4 

i35.i 
i35.8 
i36.5 

I37.2 

i37.9 
1  38.  6 
i39.3 
r4o.o 
1  40.7 
i4i-4 

25l 
52 

53 
54 
55 
56 

57 
58 

59 

60 

177.5 

I78.2 

178.9 
179-6 
i8o.3 
181.0 
181.7 
182.4 
i83.i 
i83.8 

177.5 

178.2 

178.9 
179.6 
180.3 

181.0 

181.7 
182.4 
i83.i 
i83.8 

21 
22 

i4.8 
i5.6 

i4.8 
i5.6 

81 
82 

57.3 
58.o 

57.3 
58.o 

i4i 

42 

99-7 
100.4 

99-7 
100.4 

201 
02 

i4?..i 
142.8 

142.1 
142.8 

26l 
62 

184.6 
i85  3 

.  184.6 
i85  3 

23 

ib.3 

i6.3 

83 

58.7 

58.7 

43 

IOI  .1 

101.  1 

o3 

i43.5 

i43.5 

63 

186.0 

1  86.0 

24 

17.0 

17.0 

84 

59.4 

59.4 

44 

101.  8 

101.8 

04 

144.2 

i44-2 

64 

186.  7 

186.7 

25 
26 

17-7 
18.4 

17.7 
18.4 

85 
86 

60.  i 
60.8 

60.  i 
60.8 

45 
46 

IO2.5 
103.2 

102.5 
103.2 

o5 
06 

i45.o 
i45.7 

i45.o 
i45.7 

65 
66 

i87.4 
188.1 

187-4 
188.1 

27 

19.1 

19.1 

87 

6i.5 

6i.5 

47 

io3.9 

io3.9 

07 

i46.4 

146.4 

67 

188.8 

1  88  .8 

28 

19.8 

19.8 

88 

62.2 

62.2 

48 

104.7 

104.7 

08 

147.  i 

147-1 

68 

189.5 

i8o.5 

3o9 

20.5 
21  .2 

20.5 
21  .2 

89 
9° 

62.  o 
63.6 

62.9 
63.6 

P 
5o 

io5.4 
1  06.  i 

io5.4 
1  06.  i 

09 

10 

147.8 
M8.5 

147-8 
i48.5 

69 

70 

190.2 
190.9 

I9O.2 
190.9 

3i 

21.9 

21  .9 

91 

64.3 

64-3 

i5i 

106.8 

106.8 

211 

149.2 

149-2 

271 

191  .6 

1  9  1  .6 

32 

33 

22.6 

23.3 

22.6 
23.3 

9? 
93 

65.i 
65.8 

65.i 
65.8 

52 

53 

io7.5 
108.2 

io7.5 
108.2 

12 
13 

i49.9 
i5o.6 

1  49-9 
i5o.6 

72 

73 

192.3 
193.0 

192.3 
193.0 

34 
35 

24.0 

24.7 

24.<"> 
24.7 

94 
95 

66.5 

67.2 

66.5 
67.2 

54 
55 

io8.9 
100.6 

108.9 
109.6 

i4 
i5 

i5i.3 

l52.0 

i5i.3 

l52.0 

74 

75 

193.  7 
194.5 

193-7 

i94.5 

36 

25.5 

25.5 

96 

67-9 

67.9 

56 

110.3 

i  io.3 

16 

l52  .7 

l52.7 

76 

195.2 

195.2 

37 

26.2 

26.2 

97 

68.6 

68.6 

57 

in  .0 

I  I  I.O 

17 

i53.4 

1  53.  4 

77 

195.9 

I95.9 

38 

26.9 

26.9 

98 

69.3 

69.3 

58 

111.7 

111.7 

18 

i54.i 

i54.i 

78 

196.6 

,96.6 

39 

27.6 

27.6 

99 

7o.o 

70.0 

59 

112.4 

1  12.4 

19 

i54.9 

1  54.g 

79 

19-7.3 

197.3 

4o 

28.3 

28.3 

JOO 

70.7 

70-7 

60 

ii3.i 

u3.i 

20 

.55.6 

1  55.6 

80 

198.0 

198.0 

4i 

29.0 

29.0 

IOI 

71-4 

71-4 

161 

n3.8 

ii3.8 

221 

i56.3 

1  56.3 

281 

198.7 

198.7 

42 

29.7 

29.7 

02 

72.  i 

•72.1 

62 

ii4-6 

ii4-6 

22 

i57.o 

i57.o 

82 

199.4 

199.4 

43 

3o.4 

3o.4 

o3 

72.8 

72.8 

63 

n5.3 

ii5.3 

23 

167.7 

l57-7 

83 

200.  i 

200.1 

44 

3i.i 

3i.i 

04 

73.5 

73.5 

64 

116.0 

116.0 

24 

i58.4 

1  58.4 

84 

200.8 

200.8 

45 

3i.8 

3i.8 

o5 

74-2 

74-2 

65 

n6.7 

u6.7 

25 

159.  i 

i59.i 

85 

201     5 

2OI.5 

46 

32.5 

32.5 

06 

75.o 

75.o 

66 

H7.4 

1  17-4 

26 

i59.8 

169.8 

86 

202.2 

202.2 

47 

33.2 

33.2 

07 

75.7 

75.7 

67 

118.1 

118.1 

27 

i6o.5 

160.5 

87 

2O2  .  9 

202-9 

48 

33.9 

33.Q 

08 

76.4 

76.4 

68 

118.8 

118.8 

28 

161  .2 

161  2 

88 

2O3.6 

2O3.6 

49 

34.6 

34.6 

09 

77-1 

77-1 

69 

ii9.5 

119.5 

29 

161  .9 

161.9 

89 

204-4 

204.4 

bo 

35.4 

35.4 

IO 

77-8 

77-8 

70 

120.2 

120.2 

3o 

162.6 

162.6 

9° 

205.1 

205.1 

5i 

36.i 

36.i 

II  I 

78.5 

78.5 

171 

I20.9 

120.9 

23l 

i63.3 

i63.3 

291 

205.8 

2o5.8 

52 

36.8 

36.8 

12 

•79.2 

•79.2 

72 

121.  6 

I  2  1.  6 

32 

164.0 

164.0 

92 

206.5 

206  5 

53 

37.5 

37.5 

i3 

79.9 

73 

122.3 

122.3 

33 

164.8 

164.8 

93 

207.2 

207  2 

54 

38.2 

38.2 

i4 

80.6 

3o.6 

74 

123.0 

123.0 

34 

i65.5 

i65.5 

94 

207.9 

207.9 

55 

38.Q 

38.9 

i5 

8i.3 

8i.3 

75 

123.7 

I23.7 

35 

166.2 

166.2 

95 

208.6 

208.6 

56 

19.6 

39.6 

16 

82.0 

82.0 

76 

124.5 

124.5 

36 

166.9 

i66.9 

9^ 

209.3 

209.3 

57 

4o.3 

4o.3 

17 

82.  7 

82.  7 

77 

125.2 

125.2 

37 

167.6 

167.6 

97 

210.0 

2-IC.O 

58 

4:  .0 

4i.o 

18 

83.4 

83.4 

78 

125.9 

125-9 

38 

i68.3 

i68.3 

98' 

210.7 

2:0.7 

59 

4i.? 

4l-7 

Z9 

84.i 

84.1 

79 

26.6 

126.6 

39 

169.0 

i69.o 

99 

21  1  .4 

21  1.4 

60 

42.4 

42.4 

20 

84.9 

84-9 

80 

I27.3 

I27.3 

4o 

169.7 

i69.7 

3oo 

2  I  2  .  I 

212.1 

Dis«. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

Dep. 

Lat. 

Dist. 

D,-,>. 

Lai 

[For  45  Degrees. 

Pa*e62] 

TABLE  III. 
Meridional  Parts. 

M 

OP 

1° 

2° 

3° 

4° 

5° 

6° 

7° 

8° 

9° 

10° 

11° 

12° 

13° 

M. 

/. 

3 
4 
5 

G 

-7 
b 

V 

o 

2 

3 
4 

60 
61 
62 
63 
64 

1  20 

121 

122 
123 

124 

1  80 
181 
182 
i83 
1  84 
i85 
186 
187 
1  88 
1  80 

240 
241 
242 
243 
244 

3oo 
3oi 

302 

3o3 

3o4 

36  1 
362 
363 
364 
365 

421 

422 

423 

424 
425 

482 
483 
484 
485 
486 

542 
543 
544 
545 

546 

6o3 
6o4 
6o5 
606 
6o7 

"664 
665 
666 
667 
668 

725 
726 

/27 
728 
729 

73o 
73. 

?32 

734 
735 

787 
788 
789 
79o 
791 

i 

2 

3 

4 

5 
6 

8 
9 

65 
66 
67 
66 

69 

125 

126 
127 
128 
129 

245 
246 

247 
248 
249 

3o5 
3o6 
3o7 
3o8 
3o9 

366 
367 
368 
369 

370 

426 
427 
428 

429 
43o 

487 
488 
489 
49o 
49' 

547 
548 

549 
55o 
55i 

608 
609 
610 
611 

012 

669 
670 

671 

6?a 

6/3 

792 
793 
794 

795 
796 

5 
6 

8 
9 

1C' 

1  1 

12 

i3 
•  4 

10 

1  1 

12 

i3 

i4 

73 
?r 

£ 

74 

i3o 
i3i 

132 

i33 

1  34 

190 
191 
,92 
i93 
194 

250 
25l 
252 

253 
254 

3io 
3ii 

3l2 

3i3 
3i4 

3Jl 

372 

373 
374 
375 

43. 
432 
433 
434 
435 

436 
437 
438 
439 
44o 

4Q2 

493 

494 
495 

496 

552 
553 
554 
555 
556 

6i3 

6i4 
6i5 
616 
6.  7 

674 
6/5 
676 
677 
678 

736 

737 
738 
739 
74o 

•797 
•798 

799 
800 
80  1 

10 
;i 

12 

i3 

i4 

i5 

16 
'  1 
18 

'9 

i5 
16 

17 
18 

'9 

75 
76 

£ 

79 

i35 
1  36 
i37 
1  38 
i3g 

'S 
196 

197 
i98 
199 

255 
256 

257 

258 

259 

3i5 
3i6 
3i7 
3i8 
319 

320 
321 
322 

323 
324 

376 
377 
378 
379 
38o 

497 
498 
499 
5oo 
5oi 

557 
558 
559 
56o 
56  1 

618 
619 
620 
621 
622 

67S> 
680 
68  1 
682 
683 

74i 

742 

743 
744 
745 

746 
747 
748 
749 
75o 

802 
8o3 
8o4 
8o5 
806 

i5 

16 

'7 
18 

12 

20 
21 
22 
23 

24 

25 

26 

27 
28 
29 

20 
21 
22 

23 

24 

20 

21 
22 
23 
24 

80 
81 
8?. 
83 
84 

i4o 
i4i 
i4» 
i43 

1  44 

200 
201 
202 
203 

204 

260 
261 
262 
263 

264 

38  1 
382 
383 
384 
385 

386 
387 
388 
389 
39o 

44  1 
442 
443 
444 
445 

446 
447 
448 
449 
45o 

502 

5o3 
5o4 
5o5 
5o6 

562 
564 
565 
566 
567 

623 
624 
625 
626 
627 

628 
629 
63i 
632 
633 

684 
685 
687 
688 
689 

807 
808 
809 
810 

8t! 

812 
8i3 
8i5 
816 

817 

818 
819 
820 
821 
822 

2D 
26 
27 
28 
29 

25 

26 

27 
28 
29 

85 
86 

87 
88 
_8o_ 

9° 
91 

9? 
93 

94 

~95 
96 

97 
98 

99 

i45 
1  46 
i47 
1  48 
149 
i5o 
i5i 

l52 

1  53 

1  54 

205 
206 
207 
208 
209 

210 
211 
212 
2l3 
2t4 

265 
266 
267 
268 
269 

325 
326 
327 
328 
33o 
33  1 
332 
333 
334 
335 

5o7 
5o8 
5o9 
5io 
5ii 

568 
569 
57o 
57i 

572 

690 
691 
692 
6o3 
694 

75i 

752 

753 

754 
755 

3o 
3i 

3^ 
33 
34 
35 
36 
37 
38 

39 

3o 
3i 

32 

33 
34 
"35 
36 

3? 

38 
39 

4o 
4i 

42 
43 
44 

270 
271 
372 

273 

274 

3or 

392 
393 

394 
395 

45i 

452 
453 
454 
455 

5l2 

5i3 
5i4 
5i5 
5i6 

573 
574 
575 
576 

577 

634 
635 
636 
637 
638 

695 
696 
697 
698 
699 

756 
757 
758 
759 
•760 

3o 
3i 

32 

33 
34 

i55 
1  56 
1  57 
1  58 
i59 

2l5 

216 

217 

218 

219 

275 

276 

277 

278 

_279_ 

280 
281 
282 
283 
284 

336 
337 
338 
339 

34o 

396 
397 
398 
399 
4oo 

456 
457 
458 
459 
46o 

5i7 
5i8 
5,9 

520 
521 

578 
579 
58o 
58  1 
582 

639 
64o 
64  1 
642 
643 

•700 

7OI 
702 

7o3 

•704 

761 

762 

763 
764 
765 

823 
824 
825 
826 

827 

35 
36 
37 
38 
39 

4o 
4i 

42 

43 
44 
45 
46 
47 
48 

49 

100 
101 
102 

io3 

io4 

1  60 
161 
162 
i63 

1  64 

220 
221 
222 

223 

224 

34  1 

342 
343 
344 
345 

4oi 
402 
4o3 
4o4 
4o5 

46  1 
462 
463 
464 

465 

522 

523 
524 
525 
526 

583 
584 
585 
586 

587 

644 
645 
646 
647 
648 

"OD 

7o6 

707 

708 
709 
710 
711 

712 

7i3 

7i4 

766 
767 
768 
769 

77o 

771 

772 
773 
774 
775 

828 
829 
83o 
83  1 
832 

4o 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

io5 
1  06 
107 
1  08 
109 

1  65 
1  66 
167 
1  68 
169 

225 
226 
227 
228 
229 

285 
286 
287 
288 
289 

346 

34? 
348 
349 
35o 

4o6 
4o7 
4o8 
4o9 
4io 

466 
467 
468 
469 
47o 

527 

528 
529 

53o 
53  1 

588 
589 
59o 
59i 
592 

649 
65o 
65i 
652 
653 

833 
834 
835 
836 
837 

45 
46 
47 
48 
49 

5o 
5i 

52 

53 

54 

5o 
5i 

52 

53 
54 
55 
56 

5? 
58 

r>9 

no 
III 

112 

n3 
_u4_ 
ii5 
116 

"7 

118 
n9 

170 
171 
172 

i73 

174 

230 
23l 
232 

233 

234 

290 
291 
292 
293 

294 

35i 
352 
353 
354 
355 

4n 

412 
4i3 
4i4 
4i5 

471 

472 

473 
474 
476 

532 
533 
534 
535 
536 

593 

594 
595 

596 

597 

654 
655 
656 
657 
658 

~65o~ 
660 
66  1 
662 
663 

7i5 
716 

•717 
718 
•719 

777 
•778 

779 
780 

78i 

838 
839 
84o 
84  1 
842 

5o 
5i 

52 

53 
54 

55 
56 
5- 
58 
59 

i75 

176 

177 
178 

179 

235 
236 

237 

238 

239 

295 

296 

297 

298 
299 

356 

357 
358 
359 
36o 

4i6 
4i7 
4i8 
4i9 
420 

477 
478 
479 
48o 
48  1 

537 
538 
539 
54o 
54  1 

598 
.599 
600 
60  1 
602 

720 
721 
722 
723 
•724 

782 
783 
784 
785 
•786 

843 

844 
845 
846 
847 

55 
56 

57 
58 

^9 

ft! 

0° 

1° 

2° 

3° 

V 

5° 

6° 

7° 

8° 

9° 

10° 

11° 

12° 

13° 

M. 

TABLE  III.                          [Page  Go 

Meridional  Parts. 

M. 

14° 

15° 

16° 

17° 

18° 

19° 

1  161 
63 
64 
65 
66 

20° 

21° 

22° 

23° 

24° 

25° 

26° 

27° 

M. 

o 

i 

2 

3 

4 
5 
6 

7 
8 

9 

848 
85o 
85  1 

85a 
853 

910 

91  i 
9i3 

914 
9i5 

973 
974 
975 
976 

977 

io35 
36 

37 
38 
39 

1098 
99 

I  1  00 
OI 
02 

1225 
2.6 

27 
28 

29 

1289 
9° 
91 

9l 
93 

1  354 
55 
56 

57 
58 

1419 
20 

21 
22 
23 

i484 
85 
'86 
87 
88 

i55o 
5i 

52 

53 

54 

1616 
18 
»9 

20 
21 
l622 
23 
24 
25 

26 

1684 
85 
86 
87 
88 

o 

i 

2 

3 
4 

854 
855 
856 
857 
858 

916 
917 
918 
919 
920 

978 

979 
980 
981 
982 

1041 
42 
43 
44 

45 

Iio3 
o5 

06 

07 
08 

1167 
68 
69 
70 
7i 

ia3o 

32 

33 

34 
35 

I295 

96 

97 
98 

99 

i359 
60 
61 
62 
63 

1424 
25 

26 

*7 

28 

1490 
91 

9? 
93 

94 

1  556 
57 
58 
59 
60 

1689 
9° 

9l 
93 

94' 

5 
6 

1 
8 
9 

10 

1  1 

12 

i3 

i4 

859 
860 
86  1 
862 

863 

921 
922 
923 
924 
925 

983 
984 
985 
986 

9*7 

1046 
47 
48 

£ 

5o 

1  109 

10 

II 

12 

i3 

ti  i4 
i5 
16 

17 
18 

II72 

73 

74 
75 
76 

1236 
37 
38 
39 
4o 

i3oo 

01 

02 

o3 

o4 

1  364 
66 
67 
68 

69 

i43o 
3i 

32 

33 
34 
i435 
36 
37 
38 
39 

i495 

96 
97 
98 

99 

i56i 
62 
63 
64 
65 

1628 

|9 

3o 
3i 

32 

i695 
96 

97 
98 

99 

10 
1  1 

12 

i3 
i4 
i5 

16 

17 
18 

!9 

i5 
16 

"7 
18 

'9 

864 
865 
866 
867 
868 

926 
927 
928 
929 
93o 

988 
989 
990 
991 
993 

io5i 

52 

53 
54 
55 

"77 

78 

79 
81 

82 

1241 

42 

43 
44 
45 

i3o5 
c>6 

«7 
08 

10 

i37o 
7i 
72 
73 
74 

i5oo 
02 
o3 
o4 
o5 

i567 
68 
69 
70 
7i 

i633 
34 
35 

37 
38 

1700 

OI 

o3 

o4 
o5 

20 
21 
22 
7.3 
24 

869 
870 
87. 
872 
873 

9|i 

932 

933 
934 
935 

994 
995 
996 

997 
998 

io56 

57 
58 

I9 

ii  19 
20 

21 
22 
23 

ii83 
84 
85 
86 
87 

1246 
48 

* 

5i 

i3ii 

12 

i3 
i4 
i5 

i375 
76 

77 
79 
80 

i44o 
4i 
43 
44 
45 

i5o6 
07 
08 

°9 

10 

l572 

73 
74 
75 

77 

i639 
4o 
4i 

42 

43 

1706 
07 
08 

°9 
ii 

20 
21 
22 
23 

24 

25 
26 

»  7 
28 
119 

874 
875 
876 
877 
878 

9  36 
937 
933 
939 
94« 

999 

1000 
01 
02 

o3 

1061 

63 
64 
65 
66 

1125 
26 

27 
28 
29 

1188 
89 
9° 
9i 

92 

1252 

53 
54 
55 
56 

i3i6 

17 
18 

19 

20 

i38i 
82 
83 
84 
85 

1  446 
47 
48 

i9 

5o 

i5u 
i3 
i4 
i5 
16 

i578 

79 
80 
81 
82 

i644 
45 
47 
48 

49 

1712 
i3 
i4 
i5 
16 

25 

26 

27 
28 
29 

;!o 
:ii 

la 

33 
34 

879 
880 
882 
883 
884 

942 
943 
944 
945 
946 

1004 
o5 
06 

07 
08 

1067 
68 
69 

70 
7' 

i  i3o 
3i 

32 

33 

34 

1  193 
94 
95 
96 
98 

I257 

58 

59 
60 
61 

1321 
22 

24 
25 

26 

1  386 

87 
88 
89 
9° 

i45i 

52 

53 
55 
56 

i5i7 
18 

*9 

20 

21 

1  583 
84 
85 
86 
88 

i65o 
5i 

52 

53 

54 

1717 
18 
20 

21 
22 

3o 
3i 

32 

33 
34 
35 

36 
37 
38 
39 

35 
36 

37 
38 
39 

885 
886 

887 
888 
889 

947 
948 
949 
95o 
95i 

I  OO9 

10 

[  I 

12 

i3 

1014 
i5 
16 
18 
W 

1072 

73 
74 
75 
76 

ii35 

36 

37 

38 

_J9 
1  140 
4i 

42 

44 
45 

1199 
1  200 

01 
02 

o3 

1262 
64 
65 
66 

67 

I327 

28 

y 

3o 
3i 
iT3T 
33 
34 
35 
36 

l392 

93 

94 
95 

__96 

139-7 
98 

99 
i4oo 

01 

i457 
58 
59 
60 
61 

1522 

24 
25 

26 

27 

"7528" 

3o9 
3i 

32 

1  589 
90 
91 

9? 
93 

i656 
57 
58 
59 
60 

1723 
24 
25 

26 

27 

4o 
4« 

42 

43 
44 

890 
891 
892 
893 
894 

9^ 

953 

954 
955 
956 

I077 

78 

79 
80 

81 

1204 
o5 
06 

07 

08 

1268 
69 
70 

7i 

72 

1462 
63 
64 
65 
67 

i594 

9^ 
96 

98 
99 

1661 
62 
63 
64 
66 

1729 
3o 
3i 

32 

33 

4o 

4i 

4:> 

43 
44 

45 

46 
47 
48 

49 
5o 
5i 

52 

53 

54 

8y5 
896 
897 
898 
899 

957 
958 
959 
960 
96. 

1020 
21 
22 
23 
24 
1025 

26 

27 

28 

29 

1082 
84 
85 
86 
87 

1146 

47 

48 

49 
5o 

1209 

10 

II 

12 

i3 

I273 

74 
75 
76 

77 

1  338 

39 

4o 

4i 
42 

1402 
o3 
o5 
06 

07 

1  468 

69 
70 
71 

72 

i533 
35 
36 
37 
38 

i539 
4o 
4i 

42 

43 

1600 

01 

02 

o3 
o4 

i667 
68 
69 
70 

71 

1734 
35 
36 
38 
39 
i74o 
4i 
42 
43 
44 

45 
46 

47 
48 
49 

900 
901 
902 
9o3 
904 
9o5 
906 
907 
908 
909 

962 
o63 

9^ 
965 

966 
968 
969 
970 
971 
972 

1088 
89 
90 

91 
92 

n5i 

52 

53 
54 
55 

I2l5 

16 

17 
18 

T9 

1278 
80 
81 
82 
83 

1  343 

44 
45 
46 
47 

1408 
09 

10 

II 

12 

i473 
74 
75 
76 

77 

i6o5 
06 
08 

°9 
10 

1672 

73 
75 
76 

77 

bo 
5i 

52 

53 
54 

55 
56 

57 
58 

5? 
M 

io3o 
3i 

32 

33 

34 

1093 
94 

9A 

96 
97 

u56 

57 
58 

g 

60 

1220 
21 
22 
23 

24 

1284 
85 
86 

87 
88 

1  348 

i9 

5o 

52 

53 

i4i3 
i4 
i5 
16 
18 

1  479 
80 
81 
82 
83 

23^ 

1  544 
46 
47 
48 
49 

1611 

12 

i3 

i4 
i5 

1678 

79 
80 
81 
82 

i746 
47 
48 

49 
5o 

27°^ 

55 
56 

57 
58 

^? 
M 

14° 

15° 

16° 

17* 

18° 

19° 

20° 

21° 

22° 

24° 

25° 

26° 

to*  64]                 TABLE  III 
Meridional  Parts. 

M. 

28° 
7^5? 

52 

53 
55 
56 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

"2244 
•  46 
47 
48 

49 

36° 

37° 

38° 

39° 

40° 

41° 

2702 
o3 
o4 
06 
07 
"2708 

10 

1  1 

12 

i.4 

M. 

o 

i 

•2 

3 
4 
5 
6 

8 
9 

1819 

21 
22 
23 
24 

1888 
90 
9r 

9? 
93 

i958 
59 
60 
62 
63 

2028 
3o 
3i 

32 

33 

2IOO 
01 
O2 

o3 
o4 

2171 

73 
74 
75 
76 

23i8 

»9 

20 

22 

23 

2393 
94 
95 

96 
98 

2468 
70 

7i 
72 
73 

2545 
46 
48 

n 

2623 
24 

25 

27 
28 

o 
i 

2 

3 
4 

1757 
58 

59 
60 
61 

1825 
26 

27 

? 

3o 

1894 

9j> 
96 
98 
99 

1964 
65 
66 

67 
69 

2o34 
35 
37 
38 

'39 

2040 
4i 
43 
44 
45 

2105 

07 
08 

°9 

10 

2178 

79 
80 
81 
82 

2250 
52 

53 

54 
55 

2324 
25 

27 
28 
29 

2399 
2400 

01 

o3 
o4 

2475 
76 

77 
78 
80 

255  1 

53 
54 
55 

57 

2629 
3i 

32 

33 
34 

5 
6 

7 
8 

9 

10 

ii 

12 

i3 
i4 

1762 
64 
65 
6« 
67 

i83i 

32 

33 
34 
35 

1900 

01 
02 

o3 
o5 

1970 
7i 
72 
73 

74 

2III 

i3 
i4 
1  5 

16 

2184 
85 
86 
87 
88 

2257 
58 

•:s 

61 

233o 

32 

33 
34 
35 

24o5 
06 
08 

09 
IO 

2481 
82 
84 
85 
86 
2487" 
89 
9° 
9l 

92 

2558 

59 
60 
62 
63 

2636 

37 
38 
4o 
4i 

27,5 
16 

18 

»9 

20 

10 

1  1 

12 

1  3 
M 

i5 
:6 

i? 
18 

'9 

1768 
69 
70 
72 
73 
1774 
75 
76 
77 
78 

:837 
38 
39 
4o 
4i 

1906 

07 
08 
09 

10 

1976 

77 
78 

79 
80 

2046 
47 
48 
5o 
5i 

2117 
'9 

20 
21 
22 

2I90 

91 

9l 

93 
94 

2263 

64 
65 
66 
68 

2337 
38 

39 

4o 

42 

24  1  1 
i3 
i4 
i5 
16 

2564 
06 

67 
68 
69 

2642 
44 
45 
46 
48 

2649 
5o 
5i 
53 
54 

2/22 
23 

24 

26 

27 

i5 

16 

17 
18 

'9 

20 
21 
22 
23 

24 

1842 
43 
45 
46 
47 

1912 
i3 
i4 
i5 
16 

1981 
83 
84 
85 
86 

2052 

53 
54 
56 

57 

2123 
25 
26 

27 
28 

21^ 

97 
98 
99 

2200 

2269 
70 
71 
72 

74 

a343 
44 
45 
46 
48 

2418 
*9 

20 
22 
23 

24  94 
95 
96 
98 
99 

2571 

is 

75 
76 

2728 

3? 

32 

33 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

25 
26 
27 
28 
29 

1780 
61 
82 
83 
84 

1  848 

P 
5o 

52 

53 

1917 
18 

20 
21 
22 

1987 
88 
9° 
91 
92 

2o58 

59 
60 
61 
63 

2I29 
3l 
32 

33 

34 

2202 
03 

o4 

05 

07 

2275 
76 

77 

79 
80 

2349 
5o 
5i 
53 
54 

2424 
25 

27 
28 
29 

2500 
01 

o3 
o4 
o5 

2577 
78 
80 
81 
82 

2655 

57 
58 

e? 

2735 
36 

37 
39 
4o 

3o 
3i 

32 

33 
34 

1785 
86 

87 
89 

9° 

1854 
55 
56 

57 
58 

1923 

24 

25 

27 
28 

1-993 

94 
95 
97 
98 

2064 
65 
66 
67 
69 

2  1  35. 

37 
38 
39 
4o 

2208 

°9 

10 

1  1 
i3 

2281 
82 
83 
85 
86 

2355 
56 
58 

59 
60 

243o 

32 

33 
34 
35 

25o6 
08 

OQ 
10 
12 

2584 
85 
86 
88 
89 

2662 

63 
65 
66 

67 

2742 
43 
44 
46 
47 

3o 
3i 

32 

33 

34 

35 
36 

3? 
33 
39 

1791 

£ 

2 

1860 
61 

62 
63 
64 

1929 

3o 
3i 

32 

34 

1999 

2OOO 
OI 
O2 

o4 

2070 

7i 

•72 

73 

75 

2l4l 

43 
44 
45 
46 

22l4 

i5 

16 

17 
'9 

2287 
88 
90 

91 

92 

236i 
63 
64 
65 
66 
~2~368~ 
69 
70 
71 
73 

2374 

75 

76 

78 

79 

2437 
38 
39 
4o 

42 

2443 
44 
45 
47 
48 

25i3 

i4 
i5 

17 
18 

259o 

9« 

93 

94 
95 

2669 
70 
71 
73 

74 

2748 
5o 
5i 

52 

54 

35 
36 
3? 
38 

39 

4o 
4i 

42 

43 
44 

1797 
98 

99 
1800 

01 

1  865 
66 
68 
69 
70 

1935 
36 
37 
38 
3g 

2005 

06 

07 
08 

10 

2076 

77 
78 

79 
80 

2  1  47 

P 
5o 

5i 

52 

2220 
21 
22 
24 
25 

2293 

95 
96 

97 
98 

25l9 
21 
22 
23 
24 

2597 
98 

99 
2601 
02 

2675 
76 
78 

79 
80 

2755 
56 
58 

59 
60 

2762 
63 
64 
66 

67 

4o 
4i 
4a 

43 
44 
45 
46 
47 
48 

49 

45 
46 
47 
48 
49 

1802 
o3 
o5 
06 
07 

1871 
72 
73 
75 
76 

1941 

42 

43 
44 
45 

201  I 
12 
13 

i4 

i5 

2082 
83 
84 
85 
86 
2088" 
89 
90 

91 
92 

2i53 
55 
56 

57 
58 

2226 

27 
28 

3o 
3i 

2299 
a3oi 

02 

o3 

o4 

2449 
5i 

52 

53 
54 

2526 

27 
28 

3o 
3i 

26o3 
o4 
06 
07 
08 

2682 
83 
84 
86 

87 

5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

1808 
°9 

10 

1  1 
i3 

1877 
78 

79 
80 
81 

1946 
48 

i9 
5o 

5i 

2017 
18 
'9 

20 
21 

2l59 

61 

62 
63 
64 

2232 

33 
35 
36 
37 

23o'o 
07 
08 
09 
1  1 

238o 
81 
83 
84 
85 

2386 
88 

89 
90 

9' 

2456 
5- 
58 

r9 
61 

"2762" 
63 
64 
66 

67 

2532 

33 
35 
36 
37 
2538 
4o 
4i 
42 
44 

2610 
1  1 

12 

i4 
i5 

2688 
9° 
91 

92 

94 

2768 
70 

71 
-]•> 
74 

5o 
5i 

52 

53 
54 

1814 
i5 
16 

17 
18 

j883 
84 
85 
86 
87 

1952 
53 
55 
56 

57 

2022 

24 

25 
26 

27 

2094 

$ 

1 

2i65 
67 
68 
69 

70 

2238 

39 
4i 
42 

43 

23.2 

i3 
i4 
16 

17 

2616 

17 

*9 
20 

21 

39° 

2695 
96 
98 

99 

2700 

2775 
76 
78 

79 

80 

55 
56 
57 
58 
5c; 

M. 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

3<>° 

37°  38° 

40°  |  41° 

M. 

TABLE  III.                         [P^e  65 

Meridional  Parts. 

M. 

42^ 

43° 

44° 

45° 

46° 

3n6 

17 
18 

20 
21 

47° 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

M 

0 
2 

3 
4 
~5 
6 

7 
8 

-? 

IO 

1  1 

12 

1  3 

M 

o 

i 

2 

3 
4 

2782 
83 
84 
86 
87 

2863 
64 
66 
67 
69 

2946 
47 

& 

5i 

3o3o 
3i 

33 

34 
36 

3ol7 
38 
4o 
4i 

43 

3ao3 
o4 
06 
07 
09 

3292 
93 
95 
96 
98 

3382 
84 
85 
87 
88 

3474 
76 
78 

79 
81 

569 
70 
72 
74 
75 

3665 
67 
68 
70 
72 

3764 
65 
67 
69 
70 

3865 
66 
68 
70 
7i 
3873  " 
75 
77 
78 
80 

3968 
70 

71 
73 
75 

3977 
78 
80 
82 
84 

5 
6 

i 
8 
9 

10 

1  1 

1  2 

i3 

i4 

->788 
9° 
91 
92 
94 

2870 
71 
73 
74 
7^ 
2877 
78 
80 
81 
82 

2953 
54 
56 

57 
58 

3i23 
24 

76 

27 
29 

32  I  O 
12 

i3 
i4 

16 

|?99 
33oi 

02 

o3 
o5 

3390 

9' 
93 

9i 
96 

3397 

99 

34oo 

02 

o3 

3482 
84 
85 
87 
88 

3577 
78 
80 
82 
83 

3673 
75 
77 
78 
80 

3772 
74 
<75 
77 
79 
378o 
82 
84 
85 
87 

2795 

97 
98 

99 
2801 

2802 
o3 
o5 
06 
07 

2960 
61 
63 
64 
65 

2967" 
«) 

70 
7i 

72 

3o44 
46 

47 
48 
5o 
3^5T 
53 
54 
55 
57 

3i3o 
3i 
33 
34 
36 

3737 
39 
4o 
42 
43 

32i7 

•19 

20 

23 

33o6| 
08 
09 
ii 

12 

3490 
92 
93 
95 
96 

3585 
86 
88 
90 
9' 
3593 

9r4 
96 

98 
99 

368  1 
83 
85 
86 
88 
31^7 

91 
93 

9? 
96 

3882 
83 
85 

87 
89 

3985 
87 
89 

9' 
92 

i5 
16 

17 
18 

19 

2(1 
21 
22 
23 
24 

288/1 
85 
86 
88 
89 

3225 

26 

28 

y 

3i 

33i4 
16 

17 

'9 

20 

"3322" 

23 
25 

26 
28 

34o5 
07 
08 

10 

1  1 

3498 

_  99 
35oi 
o3 
o4 

3739 

9° 
92 

9i 

95 

3890 
92 

9i 

95 
97 

3994 
9° 
98 
99 
4ooi 

4oo3 
o5 
06 
08 

IO 

i5 
16 

17 
18 
19 

2.809 
10 
1  1 
i3 
i4 

289, 
92 
93 

9* 
96 

2974 
75 
76 
78 
79 

3o58 
60 
6  1 
63 
64 

3i44 
46 
47 

49 
5o 

3232 

34 
35 
37 
38 

34i3 
i4 
16 
17 
'9 

35o6 
07 
°9 

10 
12 

36oi 

02 

o4 

06 

07 

3698 

,  99 
3701 
o3 
o4 

3797 
»£ 

02 

o4 

3b99 
39oi 
02 
o4 
06 

20 

21 
2?. 
23 
2^ 

25 

26 

27 

28 
29 

28i5 

17 
18 

20 
2  I 

2897 

99 
2900 

02 

o3 

2981 
82 
83 
85 
86 

3o65 
67 
66 

70 

71 

3i52 
53 
55 
56 

57 

324o 
4i 
42 
44 
45 

3329 

3i 

32 

34 
35 

3420 

22 
23 

25 

27 
~3"4^8~ 
3o 
3i 
33 
34 

35i4 
i5 

'7 
18 

20 

3609 

10 
12 

i4 
i5 

37o6 
08 
09 
ii 
i3 

38ob 
07 
09 
ii 

12 

~3~8~74~ 
16 
17 
*9 

21 
~3"822~ 
24 
26 

27 
29 

383  1 

32 

34 
36 
38 

3907 
09 
ii 
i3 

i4 

4012 
i4 
i5 
17 
i9 

25 

20 
27 
28 
29 

33 
3i 

32 

33 
34 

35 
36 

3? 
38 

3o 
3i 

32 

33 

34 

2822 

24 

25 
26 
28 

2904 
06 

07 
08 

IO 

2988 
89 
91 

£ 

3o73 

74 
75 

i 

3i59 
60 
62 
63 
65 

3247 
48 
5o 
5i 
53 

3337 
38 
4o 
4i 
43 

352i 

23 
25 

26 
28 

36i7 
18 

20 
22 
23 

37i4 
16 
17 
19 

21 

T^T 

24 

26 

27 
29 

3916 
18 
19 

21 
23 

"§925~ 
26 
28 

3o 

32 

~3^33 
35 
37 
38 

4o 
3942 
44 
45 
47 
49 

4021 
22 

24 

26 
28 

4029 
3i 
33 
35 

37 

35 
36 

37 
38 
39 

2829 

3o 

32 

33 
34 
2836 
37 
39 
4o 
4t 

291  1 
i3 

i4 
i5 

17 

2995 
96 
98 

,  99 
3oou 

3002 

o3 
o5 
06 

07 

3o8o 
81 
83 
84 
85 

1^87 
88 
9° 

91 
93 

3i66 
68 
69 
71 
72 

3254 
56 
57 

59 
60 

3344 
46 
47 

| 

3436 
37 

39 
4o 
42 

353? 

32 

34 
36 

3625 
26 
28 
3o 
Ji 

4o 
4i 
4  a 

43 
44 
45 
46 

47 
48 

49 
5o 
5i 

52 

53 

54 
55 

50 
57 
58 
59 

|M 

2918 
19 

21 
22 
24 
2925 
26 
28 

3? 

3i73 

75 
76 
78 

79 

3262 
63 
65 
66 
68 

"3^69" 

7i 
72 

74 

75 

3352 
53 
55 
56 
58 

3443 
45 

47 

48 
5o 

3537 

39 
4o 
4? 
43 

3633 
34 
36 
38 
39 

373, 

32 

34 
36 

37 

4o38 

4o 

42 

44 
45 

40 
4i 

42 
43 
44 

45 
4b 

4: 
48 
49 

2843 
44 
45 
47 
48 

"2849 

5* 

52 

54 
55 

I  3009 
10 
12 

i3 
i4 

3094 
95 

97 
98 

3ioo 

3i8i 
82 
84 
85 
87 

3359 
61 
62 
64 
65 

345  1 
53 
54 
56 

57 

3b4b 

47 

48 
5o 
5i 

364  1 
43 
44 
46 
47 

3739 
4i 
42 
44 
46 

3839 
4i 
43 
44 
46 

4o47 

$ 

52 

54 

2032 

33 

35 
36 

37 

3oi6 
17 
i9 

20 
21 

3ioi 
o3 
o4 
o5 

07 

3i88 
9° 
9r 
92 

94 

3277 
78 
80 
81 
.83 

3367 
68 
70 
71 
73 

Jl9 

62 
64 
65 

3553 
55 
56 
58 
59 

3649 
5i 

52 

54 
55 

~3657 
59 
60 
62 
64 

3747 
49 
5o 

52 

54 

3848 

45? 
53 
54 

^ 

54 
56 
58 

4o56 
58 

DO 
6l 

63 
4o65 
67 
69 
TO 
72 

55° 

5o 
5i 

52 

53 

54 

CK 

1  a856 
58 

59 

60 
62 

'42°^ 

2939 

4o 
42 
43 
44 

"43° 

3o23 

24 

26 

27 

9? 

44° 

3  1  08 

10 
K 

i4 
"  "45° 

3i95 

,1 

OI 

"~4<r~ 

3284 
86 
87 
89 

9° 

3374 
76 
78 

79 
81 

3467 
68 

70 

7' 
73 

356  1 
62 

64 
66 
67 

"50°" 

3755 
57 

^9 
60 

62 

3856 
58 
60 
6  1 
63 

309 

61 
63 
64 
66 

54° 

5€ 

57 
58 

5? 
M. 

47° 

48° 

49° 

51° 

52° 

53' 

''age  66]                          TABLE  111. 

Meridional  Parts. 

M 

5(>° 

57° 

58° 

59° 

60° 

61° 

62° 

63° 

64° 

05° 

66° 

f>7° 

63° 

~S6£ 
36 

39 

42 

6& 

M 

c 
i 

4 

4oy4 
76 
77 

79 
81 

4i83 
84 
86 
88 
90 

4294 
96 
98 
43oo 

02 

4409 
u 
i3 
iS 

17 

4527 

3? 
33 
35 

4649 
5i 

53 
55 

57 

4775 
77 

8? 
84 

4905 

«7 
09 

12 

*4 

5o39 

42 

44 
46 
49 

5179 
81 
84 
86 
88 

5324 
26 
26 
3i 
33 

5474 

79 

82 

84 

5795 

97 
58oo 
c3 
06 

0 

i 

2 

3 
4 

6 

8 

_9 

10 

1  1 

13 

i3 
i4 

4o83 
85 
86 
88 
90 

4192 
94 
95 
97 
99 

4jo4 
06 
08 
09 
ii 

4419 

21 
23 
25 

2~7 

4537 

3? 

43 
45 

466o 
62 
64 
66 
68 

4786 
88 
90 
92 
94 

4916 
18 

20 
23 
25 

5o5i 
53 
55 
58 
60 

5191 
93 
95 

«  9 
5200 

5336 
38 
4i 
43 
46 

5487 
89 
92 
90 

97 

5644 

$ 

5o 

52 

55 

58o9 
1  1 
i4 
17 
20 

5 
6 

8 

9 

4092 

9< 
95 

9" 
99 

4201 
o3 
o5 
07 
08 

43i3 
i5 
17 
»9 

21 

4429 
3i 
33 
34 
36 

4547 

£ 

53 
55 

4670 
72 
74 
76 
78 

4796 

98 
48ox 
o3 
o5 

4927 

3? 

34 
36 

5o62 
65 

67 
69 

7' 

52o3 
o5 
07 

JO 

12 

5348 
5i 
53 
56 
58 

55oo 

02 

o5 

07 

10 

5658 
60 
63 
66 
60 

5823 

25 

28 
3i 
34 

lo 

1  1 

1  2 

i3 

M 
;5 
1  6 

'7 
18 

19 

i5 

16 

17 
18 

;9 

4ioi 
o3 
04 
06 
08 

4210 

12 

i4 
16 
18 

4323 

25 

27 
28 
3o 

4438 
4o 

42 

44 
46 

4557 

«9 
62 

64 
66 

468o 
82 
84 
87 
89 

4807 
09 
u 
i4 
16 

4938 
4o 
43 
45 
47 

5o74 
76 
78 
81 
83 

5214 

17 

»9 

22 
24 

536  1 
63 
66 
68 
7i 

55  i  3 
i5 
18 

20 
23 

5671 

74 
76 

79 
82 

5837 
39 

42 

45 
48 

20 

21 
22 
23 

24 

25 
26 

2? 

a8 
a9 
3o 
3i 

3^ 
33 

34 

4i  10 

I  2 

i3 

i5 

17 

4220 

21 
23 
25 

27 

4332 
34 
36 
38 
4o 
4342 
44 
46 
47 
49 

4448 
5o 

52 

54 
56 

4568 
70 

72 
74 
76 

469. 
93 
95 
97 
99 

48i8 

20 
22 
24 
26 

4949 
5i 
54 
56 
58 
4960 
63 
65 
67 
69 

5o85 
88 
90 
92 
95 

5226 

3? 

34 
36 

5373 
76 
78 
80 
83 

5526 
28 

3i 
33 
36 
"5537 
4i 
44 
46 
49 

5685 
87 
90 
93 
95 

5698 
6701 
o4 
06 
09 

585  1 
54 
56 

59 

62 

20 
21 
22 

a  3 

24 

25 
26 

27 
28 
29 

4119 

21 
22 
24 
26 

4728~ 

3o 

32 

33 
35 

4229 

Si 

32 

34 
36 

"4T38" 
4<> 

42 

44 
46 

4458 
60 
62 
64 
66 

4578 
80 
82 
84 
86 

4701 
o3 
o5 
07 

10 

4829 

3i 
33 
35 
37 

5o97 

-  99 

DIO2 

o4 
06 

5io8 
ii 
i3 
i5 
18 

5238 

4i 

43 
46 
48 

5385 
88 

9? 
93 

95 
5398 
54oi 
o3 
06 
08 

5865 
68 
7i 
74 
76 

435  1 
53 

55 
57 
59 

4468 
70 
72 
74 
76 

4588 
90 
92 

g 

4712 
i4 
16 
18 

20 

4839 
42 
44 
46 
48 

4972 
74 
76 
78 
81 

525o 
53 
55 
58 
60 

5552 
54 

I 

57I2 

i5 

17 
20 

23 

5879 
82 
85 
88 
9' 

3o 
3i 

32 

33 
34 

35 

30 

38 

'9 

4i37 
39 
4i 

42 

44 

4i46 
48 
5o 

52 

53 

4247 

£ 

53 
55 

436  1 
63 
65 
67 
69 

4478 
80 
82 
84 
86 

4598 
46oo 
02 
o4 
06 

4722 

24 

26 
28 

3i 

485o 

52 

55 

57 
59 

4983 
85 

87 

9° 
92 

5l2O 
22 
25 

27 
29 

5263 
65 
67 
70 
72 

TayB" 

77 
80 
82 
84 

54u 
i3 

16 
18 

21 

~5423~ 
26 
28 
3i 
33 

5565 

67 
70 
73 
75 
5578 
80 
83 
86 
88 

5725 
28 
3i 
34 
36 

~^9 
42 

45 

47 
5o 

5894 
96 

,  99 
5902 

o5 

35 
36 

37 
38 

39 

4t> 
4i 
42 
43 
44 

4a57 

59 
60 
62 
64 

4370 
72 
74 
76 
78 

4488 
90 

92 
94 
95 

46o8 

10 
12 

i4 
1.6 

4733 
35 
37 
39 
4i 

486  1 
63 
65 
68 
70 

4994 
96 

.  99 
5ooi 
o3 
5oo5 
08 

10 
12 
14 

5i32 
34 
36 
39 
4i 

5908 
u 
i4 
17 
'9 

4o 
4i 

42 

43 
44 

40 
46 

4? 
48 
49 

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5i 

52 

53 
54 

4i55 

57 

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61 

62 

4266 
68 
70 
72 
74 
4275" 

77 

79 
81 

83 

4285" 

7 

89 

91 
92 

438o 
82 
84 
86 
88 

4497 

99 
45oi 

o3 
o5 

4618 

20 
23 
25 

27 

4743 
45 

47 
5o 

52 

4872 
74 
76 

79 
81 

4"88T 
85 
87 

9° 
92 

5i43 
46 
48 
5i 
53 

5287 

89 
92 

94 

97 

5436 
38 
4i 
43 
46 

5591 

94 
96 

99 
56o2 

5753 
56 
•>8 
61 
64 

5922 

25 

28 
3i 
34 

45 
46 

47 
48 

49 

4«64 
66 
68 

70 
72 
4i73 

75 
77 

79 
81 

439o 
92 
94 
96 
98 

45o7 
09 
ii 
i3 
1.5 

4629 

3i 
33 

35 

37 

4754 
56 
58 
60 
62 

5oi7 
19 

21 
23 
26 

5i55 
58 
60 
62 
65 

5299 
53oi 
o4 
06 
09 

5448 
5i 
54 
56 
59 

56o4 
07 

10 
12 

i5 

5-67 
70 
72 

78 

5937 
4o 
43 
46 
48 

5o 
5i 

52 

53 
54 
55 
56 

57 
58 

59 
M, 

>5 

56 

5? 
58 
59 

4399 
44ui 
o3 
o5 

07 

45i7 
'9 

21 
23 
25 

"59° 

4639 

4i 
43 
45 

47 

CO0 

4764 
66 
69 

71 
73 

4894 
96 
98 

4901 
o3 

5028 

3o 
33 
35 

37 

5i67 
69 

72 
74 
76 

53ii 

i4 
16 

T9 

21 

546  1 
64 
66 

69 
7i 

5617 

20 
23 
25 

28 

"67° 

578i 
83 
86 

89 
92 

11 

£ 

63 

"GSP 

M. 

56° 

57°  i  58° 

61° 

62° 

63° 

64° 

65° 

66° 

68° 

TABLE  III.                  FPagr,< 
Meridional  Farts. 

;T 
11 

0 

I 

2 

3 

4 

M 

o 

I 
a 

3 

4 

70° 

71W 
~6i  46 

55 

58 

7!!jo 

73° 

74° 
6746 

49 
53 

60 

75°  |  76° 

77° 

78° 

79° 

80° 

¥375" 
81 
87 
93 

98 

81° 

52 

58 
65' 

91  53 
60 

74 

83° 

"9600 

-4 

22 

3i 

39 

5966 
69 

72 
75 
78 

6335 
38 
4i 

45 
48 

6534 
38 
4i 
45 
48 

6970 
74 
78 
82 
86 

7210 
i4 
18 

22 

27 

7467 

76 
81 
85 

7745 

54 
59 
64 

8046 
5i 
56 
61 
6~ 

5 
6 

8 
9 

6981 
84 
86 

89 
92 

6161 
64 
67 

70 
73  ' 

635  1 
54 
58 
61 
64 

6552 
55 
58 
62 
65 

6764 
68 
7* 

75 
79 

0990 
94 
97 
7001 
o5 

723l 

35 
39 
43 
47 

•7490 
94 
98 
75o3 
0-7 

7769 
74 
78 
83 
88 

8072 
77 
83 
88 
93 

84o4 
10 
1  6 

22 

27 

877. 
78 
84 
9' 
97 

9182 
89 

9() 

92(>3 
1  I 

9647 
55 
64 

72 

80 

5 
6 

7 
8 

1  0 

;  i 
i  •) 

i3 

i7) 
16 

'7 

18 
'9 

5995 

98 

OOOl 

o4 
07 

6i77 
80 
83 
86 
89 

63b7 

74 
77 
80 

6569 
72 
76 

8 

6586 

90 

93 

97 
6600 

6782 
86 

9° 

93 

97 

•7009 
1  3 

17 

21 
25 

56 
60 
64 
68 

7DI2 
16 
21 
25 

3o 

7793 
98 
78o3 
08 
i3 

8099 
8104 

20 

8433 

39 
45 
5i 

57 

8804 

1C) 

17 

23 

3o 

9218 

25 

33 

4o 
48 

9689 

97 

9706 

M 

23 

1  1 

12 

i3 

6010 
i3 
16 

22 

6192 
95 
98 
6201 
o5 
6208" 
1  1 
i4 
'7 

20 

6384 
87 
90 

94 
97 

6801 
o4 
08 

12 

16 

•7029 

33 
37 
4i 

45 

7273 
77 
81 
85 
89 

7535 
39 
44 
48 
53 

7557 
62 
66 

76 

78.7 

22 

27 
32 

37 

8l25 

3i 
36 
4i 

47 

8463 
69 
74 
80 
86 

8836 
43 

49 
56 
63 

9255 
62 

7° 
77 
85 

973. 
4o 

48 

65 

i5 
16 

.8 
'9 

20 

:>  ! 
32 
23 

-•4 

a  5 

26 

a? 
28 

3n 
33 

.1; 

6O25 
28 

3i 
34 
37 
6o4o 

43 
46 

£ 

6400 
o3 

07 
10 

i3 

64  1  7 
20 

23 

27 
3o 

66o3 
07 

10 

i4 

68i9 

23 

26 
3o 
34 

•7048 

52 

56 
60 
64 
•7068 
72 
76 
80 
84 

7294 

302 

06 
II 

-7842 

47 

52 

57 
62 

7867 
72 

77 
82 

87 

8i52 
58 
63 
68 
74 

8492 
98 
85o4 

JO 

16 

8869 
76 
83 

89 
96 

93oo 
07 
i5 

22 

9774 
83 

9' 

9800 

o? 

35 

44 

52 

20 
21 

2,3 
M 

6223 
26 

3o 
33 
36 

6621 
24 
28 

3r 
35 

6838 
4i 

45 

73i5 

3 

28 

32 

7680 
85 

99 

0179 
85 
90 
96 
8201 

8522 

28 
34 
4o 
46 

8903 
1  6 

23 

3o 

933o 

3.7 

45 
53 
60 
~9~368~ 
76 
83 

91 
99 

25 

26 

28 
39 

3o 
3i 

32 

33 

34 

6o55 
58 
6  1 
64 
67 
6070 
73 
76 

79 
82 

42 
45 

6433 

37 
4o 
43 

47 

6639 

42 

46 

3 

6856 
60 
64 
68 

7' 

7088 
92 
96 
7100 
04 

7336 
4i 

45 

3 

76o3 
08 

12 

17 

22 

7892 

97 
7902 
07 

12 

8207 

12 

18 

23 

29 

8234 
4o 
45 
5i 
56 
"8262" 
67 
73 
79 
84 

8552 
58 
65 

77 

8936 
43 
5o 
57 
63 

9861 
70 

IS 

9_7 
9906 

i5 

24 

33 
42 

36 
38 

4i 

43 
44 
45 
40 
47 
48 
49 
5o 
5  1 

53 
54 

6255 
58 
61 

64 
68 

645.) 
53 
57 
60 
63 

6656 
60 
63 

67 
70 

6875 

79 
83 
86 
9° 
6894 

if 

690, 

o5 
09 

7108 

12 

16 

20 
24 

7358 
62 
66 

71 

75 

7626 

3s 
36 
4o 
45 

7917 
22 
27 
32 
37 

8583 
89 

8601 
07 

8970 

77 
84 

91 
98 

94c>7 
i4 

22 

3o 
38 

35 
30 
3- 
38 

608  5 
88 

9' 

94 
97 

6271 
74 

77 
80 
83 

6467 
70 

73 
77 
80 

6674 
77 
81 
85 
88 

7128 
32 

36 
4o 
45 

7379 
84 
88 

02 

97 

765o 
54 
59 
64 
68 

7942 

48 
53 
58 
63 

86i4 
20 
26 

32 

38 

9005 

I  2 
18 
25 
32 

61 
69 

77 

995' 
go 

69 

78 
87 

4o 
4i 

42 

43 
44 

45 
46 

47 
48 
•49 

6100 
o3 
06 
09 

12 

6287 

9? 

93 
96 

V9 

6483 
87 
90 
94 
97 

6692 
95 

6702 
06 

69  1  3 
17 

20 
24 
28 

7149 
53 
57 
61 
65 

74oi 
06 

10 

i4 
'9 

7673 
78 
83 
87 

92 

7968 
73 
78 
83 

89 

8290 
95 
83oi 

07 

12 

8644 
5i 

57 
63 
69 

9039 

46 
53 
60 
67 

9485 
93 

°9 

17 

9996 
10000 

i  oo  1  5 
10024 
ioo33 

7oo43 

10052 

10061 

10071 
10080 

6u5 

18 

21 

" 

63o3 
06 

I 

63i9 

22 

25 
28 
32 

6boo 

o4 
07 

i4 

6517 

21 

24 

28 

3i 

6710 
i3 

17 

20 
24 

6932 

36 
4o 

43 
47 

7169 
73 
77 
8. 
85 

74  2  3 

27 

32 

36 

4i 

7697 
770?. 
06 
1  1 
16 

7994 

99 
8004 
09 
i4 

83.8 
24 
29 
35 
4j 

8670 
82 
88 
95 
8701 

9074 
81 
88 

96 
9io3 

91  10 

17 

24 

3i 
38 

33 
4i 

49 
57 

5i 

52 

53 

54 

55 

5t> 
5  7 
58 

% 
M. 

6i3o 
33 
36 

4o 
43 

~70° 

6728 

3i 

35 
38 

42 

695i 
55 
59 
63 
66 

7189 
94 
98 
7202 
06 

7445 

49 
54 
58 
63 

7721 

9.5 

3o 
35 
4o 

8020 

25 

3o 
35 

8347 

52 

58 
64 
69 

8707 
i4 

20 
20 

33 

81 
~82°~ 

10089 

10099 

10108 

10118 

101  27 

' 

55 

56 

58 
^ 

71° 

,72° 

73° 

74° 

75°  7f>° 

77° 

78° 

79° 

80° 

i'age78J                                                               TABLE     VII. 

Amplitudes. 

DECLINATION. 

Lat. 

o 

—  cs  rn  xrtn  co 

t^OO    ON  O    -    cs 

oo  xr  >n  co  t^-co 

ONC    «    oi  oo  XT 

to  <O    f^-OO    ON  C 

—   es  ro 
ro  «o  ro 

-a 

S 

d 

-CO     ON  O     01   XT  CO 
01    01  oo  ro  ro  oo 

ONOO    r^  —  O    — 

oo  xr  xrm  m 

i  r^xr  —  co  o  tn 

—  oi  01  oo  XT 

xrxrm  co  co-  - 
m        —  oi  oo  m 

^^ro  xr10^  jxr  °  « 

7J  T5  *2  ^  *S  *jj 

oo  oo  oo  oo  oo  xr 

XT  xr  xr  XT  xr  xr 

-xr  in  m  tn  to  m 

co^ooo  t^r-lt^-oooo 

°83 

d 

i  o   —  oi  xr  co  oo 

—  xr  co  oo   r-ro 

oo  m  cs   ON  r^-m 

tn  XT  m  tn  r^  ON 

OJ  CO     -  CO     CN     ON 

r-  r-  r-- 

CS     Oi     CS     01     Oi     01 

OO  OO  OO  OO  OO  OO 

CN    oi    rs    oi    oi    oi 

ro  ro  ro  ro  XT  xr 

1    01     01     01     Oi     Oi     Oi 

xr  xr  XT  xr  tn  in 

01      01      OJ      01     01     01 

m  to  co  <O  '-O  co 

°  <?i 

^ 

1  O    •-    oi  ro  tn  oo 

c  xr  r-  -  o  - 

j  f^ro    ONCO  XT  Oi 

oo  xrxrm        - 

1C    O    ON  C    —  oo 
01  oo  oo  tn          — 

tn  CO    Oi  cO    01  CO 
01  rom         es  en 

to  ro    o. 
m  -  ro 

CS     CS     Oi     01     CS     Oi 

CM     Oi     Oi     Oi     01     Oi 

01     0)     Oi     Oi     01     01 
Oi     Oi     Oi     01     01     01 

oi    01    01    oi  ro  ro 
01    01    o;    01    oi    es 

oo  oo  oo  oo  xr  xr 

1  CN    oi    o)    oj    01    es 

xr  xr  xrm  m  m 

I  es    es    es    oi    es    oi 

^ONO 

•a 

d 

1  O    ""(    oi  ro  to    r^» 

"    —    «   cs    es  oo 

ro  xrxrm 

'co  tn  XT  xr  m  co 
-  oi  oo  xrm 

loo   C  oo  r-»  —  r~- 

—  oo  xrm  —  01 

ro   O  co 
xr       - 

Oi     Oi     01     01     01     01 

«     «     «     M     «     « 

01     01     Oi     01     Ol     01 

«    01    01    es    oi    01 

ro  ro  ro  ro  XT  XT 

oi    oi    OJ    oi    cs    rs 

xrm  m 

01     Oi     01 

°s 

d 

O    —    cs  ro  in    r^ 

ON  CS  CO    ONOO  OO 

.-     _i     —     CS     CN 

oo  oo  XT  —  r~-m 
ro  oo  XT  m  m 

~   «   oTr^rn" 

i  o  oi  xr  r-  -  <n 
—  01  ro  xr       '  • 

ro  xr 

0    0    0    0    C    0 

c  o  q  o  o  o 

o  o  o  c  o  - 

01     Oi     01     01     01     Ol 

01    01    01    oi    es    oi 

oi    oi    01    oi  oo  ro 
01   es   cs    cs    es   cs 

ro  ro  xr 

es    o)    es 

0     ^ 

X 

C    —    cs  ro  to   r- 

^"f^     CN   ^ 

—  cc  CN  rjo  xr  — 
oo  oo  TJ-XT  tn 

CO  co  to  oo  oo  oo 
—    es  oo  XT  to 

ro  XT  co  co  —  m 
—    r,  ro  to 

-  ro  m 

ON  ON  ON  ON  ON  ON 

ON  CN  ON  Ox  0V  CJN 

ON  ON  O--  C7-ONO 

O    O    C    O    O    C 

_    —    —    _    —    cs 

Oi     Oi     01 

o   00 

o  —  oi  oo  XT  co 

co  ~  XT  i^-  —  tn 

«   »•   »-  es   es 

ON  XT  ONtn  —  oo 
oj  oo  oo  xrm  tn 

—  cs  01  oo  XT 

ico  r^co  ON  —  XT 
to        —  r>  xr  m 

OO    es    r- 
es  ro 

CO  CO  CO  CO  OO  OO 

OO  CO  CO  CO  OO  CO 

CO  CC  CO  CO  OO  CO 

ON  ON  ON  ON  ON  ON 

ONO    0    0    C    0 

0   £ 

d 

o  -  -ooxrco 

CO    O  ro  CO    C  xr 

ico  01  r-  01  co  xr 

oi  ro  ro  XT  XT  in 

»-  CO  to  OO    —    C 

-  oi  ro  xr 

1  ON  ON  ON  O    n  XT 

xrtn        01  ro  xr 

r--  o  xr 
in   —   es 

r-r-r-r-  t-  r- 

r-  r-r-  r-  t-r^ 

r-  t-  r-  r-  r-  t- 

CO  CO  OO  OO  OO  OO 

CO  OO    ON  ON  ON  ON 

ONO    0 

1  —    e\    r< 

°S 

d 

o  M  _i  01  xrm 

r^  o  cs  to  co  o; 

—     —     —     ~     Oi 

O    C  to    C  to    — 
01  oo  oo  XT  XT  tn 

t^oo  c  co  to  XT  )  01  es  —  —  oj  XT 
to         —   —   01  ro  ixrtn        >-   es  ro 

m  oo   - 
xrm   - 

co  cO  cO  CO  cO  co 

co  co  O  CO  CO  O 

co  r-r-  t-  i-  t» 

r^  t^oo  co  oo  co 

OO  OO    ON 

•  a 

d 

o  1-1  *~  cs  xrm 

>-c     —     —     CN 

es    es  ro  ro  XT  XT 

ro    ONCO  oo    O    r- 
to  to           —    Oi    Oi 

CO  XT  ro  ro  ro  ro 
oo  xr  m        «i  o) 

co  co  co  r-  o  r- 

XI  AO    ON 

oo  xrm 
r^  r^  t^ 

tn  tn  in  m  m  to 

to  to  to  tn  to  to 

tn  in  to  to  to  m 

tn  m  co  co  O  <o 

=  3 

d 

oi    oi  ro  ro  oo  Xr 

OMO  —  i^-xr  — 

xr^n            —  oi 

ON  r^tn  xr  ro  ro 

es  ro  xr  tn        — 

^£xr 

xr  xr  XT  xr  XT  xr 

xrxfxfxfxfxf 

xr  xTxrxrxrxr 

xr  XT  m  m  m  to 

to  in  to  tn  co  co 

ICO  OO 

»  2 

d 

o  o  «  es  ro  xr 

O  CO    O    oi  to  00 

«  xr  ao  cs  co  - 
oi    01   cs  ro  oo  xr 

cc   -   r-  01  ONIO 
xrm  tn            — 

01   c   r~-<o  xr  ro 

01  ro  oo  XT  to 

ro  ro  xr 
—   cs  ro 

oooooooororo    rorororororo 

oo  oo  oo  ro  ro  ro 

oo  oo  ro  XT  XT  XT 

xr  xr  xr  xr  xrm 

m  m  m 

°2 

d 

O   O   -   cs  ro  XT 

m  t^-  ON  »H  XT  co 

i  ON  cs  CO    ONTO  CO 
—    es    oi    cs  ro  ro 

CN   r^  oi   r^-oo  ON 
xrxrm  m  . 

co  oj   o   r^tn  oo 

—  es  oo  oo  xrtn 

Oi     w     — 
—     Oi 

cs   cs   es   CN   es   es 

oi    es   cs   es   es   es 

Oi     0)     01     01     01     Oi 

cs   es   CN   es  oo  oo 

oo  ro  oo  oo  ro  ro 

xrxr  xr 

0    r-j 

C    O    -    es  ro  XT 

m  r^oo  o  ro  m 

co  c  xr  r-  -  XT 

C^oo  OO  ro  00  ro 

ON*n  es  ONCO  xr 

C,     0     ON 

0    rH 

d 
d 

O    O    -    -    cs  ro 

m  co  co  ON  -  xr 

CO    ON  —  XT  CO    — 

—   —   oj   01   oi  ro 

tn    ONro  co    01    f- 
oo  oo  xr  xr  tn  tn 

ro  co  xr  —   I^xr 

r-     01     Oi   OO 

—    ON  r- 

xrxrm 

O    O   O    O    O    O 

000000 

0    0    0    0    C    0 

0    C    C    C    C    C 

0    O5 

O    O    -i    -    IN  ro 

xrm  t^co  o  es 

XT  r-  ON  oi  m  co 

^  £  ^3  ^^ 

o  -  t-  cs  oo  xr 

—  oo  to 
ro  ro  xr 

ON  ON  ON  ON  ON  ON 

ON  ON  ON  ON  ON  ON 

ON  ON  ON  ON  ON  ON 

ON  ON  ON  ON  ON  ON 

ONC    0    C    0    0 

000 

0    00 

— 

G    O    -    w    CN  ro 

xrm  to  t^  ON  ~ 

oo  tn   r^  ON  01  to 

CC    -  Xrco    oi  CO 

o;  oo  ro  oo  XT  XT 

C  XT    ON  XT    ONIO 

in  to  tn             — 

-    r-ro 

01    oi  ro 

JO  00  CO  CO  CO  OO 

OO  CO  00  00  CO  CO 

CO  CO  CO  CO  CO  CO 

OO  00  CO  OC  CO  CO 

CO  CO  CO    ON-ON  ON 

ON  ON  ON 

O     t*^ 

~ 

O   O   ^   —   cs   cs 

oo  xrm  r-oo  ON 

—  oo  m  r^  ON  01 

xr  t^  O  ro.cO    O  , 
01    cs  ro  ro  ro  XT  ' 

xrcc  oj  co  -  m 
xr  xrtn  in 

O  <O    - 

—     —      Oi 

o    CO 

C   C   O   -    -   cs 

oo  xrm  co  c^oo 

O  ~  oo  m  r^  ON 

—  ro  o  co    —  XT 

n   o.   o.   oi  oo  oo 

r--  —  XT  co  01  co 

oo  xr  xrxrm  m 

C  m  C 

t-~  r--  r- 

o  XT  oo 
m  to  to 

in  tn  m 

<O  CO  CO  <O  CO  <O 

cO  CO  co  co  co  co 

CO  O  CO  O  O  co 

cO  O  cO  <O  co  O    cO  co  co  O  cO  co 

o    lO 

^ 

0   0    0    -    -    « 

oiroxrmco  r-  co  ON—  oixrtn 

r-  ON  -  xr  co  co 

-  xr  r-  c  ro  r- 

mmmininm 

in  m  m  m  m  to    m  to  to  m  m  m 

m  to  in  in  to  in 

to  to  to  to  m  tn 

0    ^ 

s 

O    o    O    -    ~    - 

xr  xr  xr  xr  T  xr 

xr  xr  xr 

o   CO 

d 

c  o  o  o  -  - 

-   01    cs  ro  ro  XT 

tn  O  CO    t^-OO    ON 

O  oj  oo  xj  co   r- 

ONC  O.XTOOOIO  oim 
—    oi    01    01    01    o.!rororo 

"o^^^ 

ro  ro  ro  ro  oo  oo 

ro  oo  oo  oo  oo  oo 

•n  ro  oo  ro  ro  ro 

-r>  ro  ro  ro  ro  ro 

oo  ro  oo 

0     i—  < 

1 

O   O   O    C    O    O  | 

0    

CS     Oi     Oi     0)  OO  OO 

•o  xr  xrm  m  co 

o  r^  r^-co  ON  ON 

C    -   es 

Lat. 

—  cs  ro  xr«n  co 

r~-co  ON  c   —  oi 

no  xrm  co  r^co 

ON  C    -    01  ro  xr 

1 
n  co  r-oc   ON  c 

-   «  ro    ! 
-0  oo  ro 

TABLE   VII                                            lp*&™ 
Amplitudes. 

Lat. 

sss. 

r-00    ONO    -    es    r. 

o  ro  ro  XTXTXT  ^ 

~>  XT  m  to  r-oo 
3-xTXrxrxrxT  •-. 

>  O    «    cs  ro  XT  u 
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Page  86] 

TABLE  X. 

For  finding  the  Distance  of  Terrestrial  Objects  at  Sea,  in  Statute  Miles. 

Height 
in  feet. 

Distance. 
Mil.  Dec. 

Height 
in  feet. 

distance. 
Mil.  Dec. 

Height 
in  feet. 

Distance. 
Mil.  Dec. 

Height 
in  feet. 

Distance. 
Mil.  Dec. 

He  ght 
in  teet 

Distance. 
Mil.  Dec. 

Heijrht 
in  feet. 

Distance 
Mil.  Dec 

Height 
in  feet. 

Distance. 
Mil.  Dee. 

I 

1.32 

26 

6.75 

55 

9.81 

210 

19.17 

46o 

28.37 

920 

4o.i3 

3ioo 

73.7 

2 

1.87 

27 

6.87 

60 

10.25 

22O 

19.62 

470 

28.68 

940 

4o.56 

3200 

74.8 

3 

2.20 

28 

7.00 

65 

10.67 

23o 

20.06 

48o 

28.98 

960 

40.99 

3300 

76.0 

4 

2.65 

29 

7.12 

70 

II  .07 

24O 

20.  5o 

490 

29.29 

980 

41.42 

34oo 

77.1 

5 

2.96 

3o 

7.25 

75 

n.46 

250 

20.92 

5oo 

29.  58 

IOOO 

4i.8o 

35oo 

78.3 

6 

3.S 

3i 

7-37 

80 

n.83 

260 

21.33 

520 

3o.i7 

I  100 

43.90 

36oo 

79-4 

7 

3.5o 

32 

7.48 

85 

12.20 

27O 

21.74 

54o 

3o.74 

1200 

45.80 

3700 

8o.5 

8 

3.74 

33 

7.60 

90 

12.55 

280 

22.  l4 

56o 

3i.3i 

i3oo 

47.70 

38oo 

81.6 

9 

3-97 

34 

7.71 

95 

12.  80 

20X) 

22.53 

58o 

3i.86 

i4oo 

49.50 

3900 

82.6 

10 

4.18 

35 

7.83 

100 

i3.23 

3oo 

22.91 

600 

32.4i 

i5oo 

5l  .20 

4ooo 

83.7 

ii 

4.3o 

36 

7.94 

105 

i3.56 

3io 

23.29 

620 

32.  94 

1600 

52.90 

4ioo 

84.7 

12 

4.58 

37 

8.o5 

no 

i3.88 

320 

23.67 

64o 

33.47 

1700 

54.5o 

4200 

85.7 

i3 

4.77 

38 

8.16 

ii5 

i4.  19 

33o 

24.03 

660 

33.99 

1800 

56.10 

43oo 

86.8 

i4 

4.95 

39 

8.26 

1  20 

14.49 

34o 

24.39 

680 

34.5o 

1900 

57.70 

44oo 

87.8 

i5 

5.J2 

4o 

8.37 

125 

14.79 

35o 

24.75 

700 

35.oo 

2OOO 

59.20 

45oo 

88.7 

16 

5.20 

4i 

8.47 

i3o 

1  5.  08 

36o 

25.10 

720 

35.  5o 

2100 

60.60 

46oo 

89.7 

17 

5.45 

42 

8.57 

1  35 

i5.37 

37o 

25.45 

74o 

35.99 

22OO 

62.10 

4700 

90.7 

18 

5.6i 

43 

8.68 

i4o 

i5.65 

38o 

25.79 

760 

36.47 

23oo 

63.4o 

48oo 

91.7 

*9 

5.77 

44 

8.78 

i  A5 

15.93 

39o 

26.13 

780 

36.95 

2400 

64.80 

4900 

02.6 

20 

5.92 

45 

8.87 

i5o 

16.20 

4oo 

26.46 

800 

37.42 

2500 

66.10 

5ooo 

93.5 

21 

6.06 

46 

8.97 

1  60 

16.73 

4io 

26.79 

820 

37.88 

2600 

67.  5o 

Imile 

96.1 

22 

6.21 

47 

9.07 

170 

17.25 

420 

27.11 

84o 

38.34 

2700 

68.70 

23 

6.34 

48 

9.17 

1  80 

17.75 

43o 

27.43 

860 

38.8o 

2800 

70.00 

24 

6.48 

49 

9.26 

190 

18.24 

44o 

27.75 

880 

39.25 

2900 

71  .20 

25 

6.61 

5o 

$.35 

2.00 

18.71 

45o  |28.o6 

900 

39.69 

3ooo 

72.  5o 

TABLE  X.      A. 

Parallax  in  Altitude  of  a  Planet. 

Horizontal  Parallax  of  a  Planet. 

AH. 

D. 

1" 

ili 

1    t 
3   4 

i   ii 
5 

II 

6 

// 

7 

II 

8 

u 
9 

II    II 
10  11 

M 

12 

// 

13 

n 
14 

II 
15 

n 

16 

n 

17 

n 

18 

n 
19  J 

// 
>0 

II 

21 

// 

22 

n 

23 

II 

24 

// 
25 

It 

2(5 

// 

27 

// 

28 

II 

30 

// 
35 

Alt. 
D. 

o 

2 

3       L 

5 

6 

7 

8 

9 

10    II 

12 

i3 

i4 

i5 

16 

17 

18 

19 

JO 

21 

22 

23 

24 

25 

26 

27 

28 

3o 

35 

0 

10 

.  2 

3     L 

'   5 

6 

7 

8 

10 

1  1 

12 

i3 

i4 

i5 

16 

17 

18 

J9 

JO 

21 

22 

23 

24 

2.5 

26 

27 

v.8 

3o 

35 

10 

20 

2 

3    / 

f    5 

6 

7 

8 

8 

9 

10 

II 

12 

i3 

1  4 

i5 

16 

17 

18 

9 

2O 

21 

22 

23 

23 

24 

>5 

26 

28 

33 

20 

3o 

2 

3    • 

4 

5 

6 

7 

8 

9 

10 

10 

II 

12 

i3 

i4 

i5 

16 

16 

7 

18 

19 

2O 

21 

22 

23 

>.3 

24 

26 

3o 

3o 

35 

2 

2     C 

!   4 

5 

6 

7 

7 

8 

9 

10 

II 

II 

12 

i3 

i4 

i5 

16 

6 

17 

18 

19 

2O 

20 

21 

1-2. 

2,3 

2.5 

29 

35 

4o 

2 

2     ^ 

i  4 

5 

5 

6 

7 

8 

8 

9 

10 

II 

I  I 

12 

i3 

i4 

i5 

t5 

16 

17 

18 

18 

]9 

2.0 

21 

21 

23 

27 

4o 

43 

5  4 

4 

5 

6 

7 

7 

8 

9 

1C 

10 

II 

12 

i  a 

i3 

i4 

i5 

i5 

16 

17 

18 

18 

19 

2O 

2O 

22 

2,6 

43 

46 

\   3 

4 

5 

6 

6 

7 

8 

8 

9 

10 

10 

I  I 

12 

i3 

i3 

i4 

i5 

i5 

16 

17 

17 

18 

'9 

IO 

21 

24 

46 

49 

5   3 

4 

5 

5 

6 

7 

7 

8 

9 

10 

10 

II 

12 

12 

t3 

i4 

i4 

i5 

16 

16 

17 

.8 

18 

20 

23 

49 

52 

s    3 

4 

4 

5 

6 

6 

7 

7 

£ 

9 

9 

10 

10 

I  I 

12 

12 

id 

i4 

i4 

i5 

i5 

16 

17 

17 

18 

22 

52 

55 

i   3 

3 

4 

5 

5 

6 

6 

7 

7 

8 

o 

10 

10 

I  I 

I  I 

12 

i3 

i3 

i4 

i4 

i5 

1  5 

16 

17 

20 

55 

58 

8     3 

3 

4 

4 

5 

5 

6 

6 

7 

7 

8 

8 

o 

10 

10 

I  I 

II 

12 

12 

i3 

i3 

i4 

i4 

i5 

16 

J9 

58 

61 

0 

I     2 

3 

3 

4 

4 

5 

5 

6 

6 

7 

7 

8 

g 

9 

0 

ro 

10 

II 

II 

12 

12 

i3 

i3 

i4 

i5 

17 

61 

64 

0 

)     2 

3 

3 

4 

4 

4 

5 

5 

6 

6 

7 

7 

7 

8 

8 

9 

9 

10 

10 

I  I 

11 

u 

12 

12 

i3 

i5 

64 

67 

0 

J     2 

2 

3 

3 

4 

4 

4 

5 

5 

5 

6 

6 

7 

7 

7 

8 

8 

9 

9 

9 

10 

10 

I  I 

II 

12 

i4 

67 

70 

0 

2 

2 

2 

3 

3 

3 

4 

4 

4 

5 

5 

5 

6 

6 

6 

7 

7 

8 

8 

8 

9 

9 

9 

10 

10 

12 

70 

72 

0 

I 

2 

2 

2 

2 

3 

3 

3 

4 

4 

4 

5 

5 

5 

6 

6 

6 

6 

7 

7 

7 

8 

8 

8 

n 

9 

II 

77 

74 

0 

I 

2 

2 

2 

2 

3 

2 

3 

4 

4 

4 

4 

5 

5 

5 

6 

6 

6 

6 

7 

7 

7 

7 

8 

8 

10 

74 

76 

0 

0 

I 

2 

2 

2 

2 

3 

3 

3 

3 

4 

4 

4 

4 

5 

5 

5 

5 

6 

6 

6 

6 

7 

7 

7 

8 

76 

78 

0 

0 

I 

I 

2 

2 

2 

2 

2 

3 

3 

3 

3 

4 

4 

4 

4 

4 

5 

5 

5 

5 

5 

6 

6 

6 

7 

78 

80 

0 

0 

1 

I 

I 

2 

2 

2 

2 

a 

2 

3 

3 

3 

3 

3 

3 

4 

4 

4 

4 

4 

5 

5 

5 

5 

6 

80 

82 

0 

0 

0 

I 

I 

I 

I 

I 

2 

2 

9 

2 

2 

2 

2 

3 

3 

3 

3 

3 

3 

3 

3 

4 

4 

4 

4 

5 

82 

84 

0 

t) 

0     ( 

3 

I 

I 

I 

I 

j 

I 

I 

I 

I 

2 

2 

2 

2 

2 

2 

2 

2 

2 

3 

3 

3 

3 

3 

3 

4 

84 

86 

0 

0 

0     < 

)     0 

0 

O 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

j 

I 

I 

I 

2 

2 

2 

2 

2 

2 

2 

2 

2 

86 

88 

0 

0 

0     < 

)    O 

O 

O 

0 

0 

0 

0 

0 

0 

0 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

I 

88 

90 

0 

0 

0     ( 

3     O 

0 

O 

0 

0 

0 

0 

0 

c 

0 

0 

0 

0 

0 

0 

0 

O 

O 

O 

0 

0 

0 

0 

0 

0 

0 

90 

Fagebaj                TABLES    XII,    XIII,   XIV,   XV, 

AND  XVI. 

TABLE  Xll. 

The  Refraction  of  the  Heavenly  Bodies 
in  Altitude. 

TABLE  XIII. 

pressiou  or  Dip  of  the 
Horizon  of  the  Sea. 

TABLE  XIV. 

The  Sun's  Parallax  in 
Altitude. 

App. 

Alt. 

Ref. 

App. 

Alt. 

Ref. 

pp. 
It. 

). 

Ref. 

leight  of 
the  Eye. 

Dip  of  the 
Horizon. 

Sun's  AH. 

Sun's 
Parallax. 

D.  M. 

VI.  S. 

D.  M. 

M.  S. 

M.  S. 

Feet. 

M.  S. 

D. 

S. 

o.  o 
o.  5 

O.IO 

o.i5 

0.20 
0.25 

o.3o 
o.35 
o.4o 
o.45 

53.  o 
iu.ii 

3l  .22 

3o.36 
,9.5o 
29.  6 
28.23 
27.41 
27.  o 
26.20 

6.3o 
6.40 
6.5o 
7-  o 
7.10 
7.20 
7.3o 
7.4o 
7.5o 
8.  o 

-7.52 
7-41 

7.3i 
7.21 
7.12 
7.  3 
6.54 
6.46 
6.38 
6.3o 

o 

i  ' 

2 

33 
34 
35 
36 
37 
38 
39 

i.38 
.35 
.3i 
.28 

.24 

.21 

.18 

.16 
.i3 

.10 

Q 
Q 

10 

0.59 
1.24 
1.42 
i.58 

2.12 
2.25 

a.36 

2.47 

2.57 

3.  7 

0 
10 

20 
3o 
4o 
5o 
55 

9 

8 

6 
5 

60 
65 
70 

4 
4 
3 

2 
2 

0 

o.5o 
o.55 

I  .    0 

i.  5 

I  .10 

i.i5 

I  .20 
1.25 

1  .3o 

i.35 

25.42 

25.  5 
24  .  29 
23.54 

23.20 
22.47 
22.  15 

i.44 
:.i5 

0.46 

8.10 

8.20 

8.3o 
8.4o 
8.5o 
9.  o 
9.  10 
9.20 
9-3o 
9.40 

6.22 

6.i5 
6.  8 
6.   i 
5.55 
5.49 
5.43 
5.37 
5.3i 
5.26 

4o 
4i 
42 
43 
44 
45 
46 
47 
48 
49 

.  8 
.  5 
i.  3 
i  .   i 
0.59 
0.57 
o.55 
o.53 
o.5i 
o.5o 

1  1 

12 

i3 
i4 
i5 
16 

i7 
18 
19 

20 

3.16 

3.25 
3.33 
3.4i 
3.49 
3.56 
4.  3 
4.  ii 
4.17 
4.24 

75 
80 

85 
90 

TABLE  XV. 

Augmentation  of  the 
Moon's  Semi-diameter. 

Moon's  Alt 

Augment. 

D. 

S. 

i  .4o 
1.45 
i.5o 
i.55 
a.  o 
a     5 

2.10 
2.l5 
2.20 
2.25 

20.18 
9.5i 

9.25 
i8.5o 
i8.35 

18.11 

i7.48 
17.26 
17-  4 
i6.44 

9.5o 
10.  o 
10.  i5 
io.3o 
10.45 

II  .    0 

11.  i5 
ii  .3o 
ii.45 

12.    0 

5.20 

5.i5 
5.  8 
5.  o 
4.54 
4-47 
4-4i 
4-35 
4.29 
4.20 

!DO 
5i 

52 

53 

54 
55 
56 

57 
58 

59 

0.48 
o.46 
o.45 
o.43 
o.4i 
o.4o 
o.38 
o.37 
o.36 
o.34 

21 

22 
23 
24 
26 
28 

3o 
35 
4o 
45 

4.3i    ' 
4.37 
4-43 
4-49 
5.   i 
5.i3 
5.23 
5.49 
6.i4 
6.36 

0 

5 

10 

il 

20 
25 

3o 
35 

0 

i 
3 

4 
5 
1 
8 

9 

4o 
45 
5o 
55 
60 
70 
80 

9° 

IO 

ii 

12 

i3 
i4 
i5 
iS 
16 

2.30 

2.35 

2  ,4O 

2.45 

2    50 

2.55 
3.  o 
3.  5 
3.io 
3.i5 

16.23 
16    4 
i5.45 
15.27 

i5.  9 

i4-52 
i4.35 
14.19 
i4.  3 
i3.48 

12.20 
12.40 

i3.  o 

13.20 

i3.4o 
i4.  o 

l4-20 

i4.4o 
i5.  o 
i5.3o 

4.16 
4.  9 
4.  3 
3.57 
3.5i 
3.46 
3.4o 
3.35 
3.3o 
3.23 

60 
61 
62 
63 
64 
65 
66 
67 
68 
69 

o.33 

O.32 

o.3o 
0.29 
0.28 

0.27 
O.25 

0.24 

0.23 
O.22 

5o 
60 

70 
80 

9° 

100 

6.58 
7.37 
8.i4 
8.48 
9.20 
9.5i 

TABLE  XVI. 

Dip  of  the  Sea  at  different  Distances  from  the 
Observer. 

3.20 

3.25 
3.3o 
3.4o 
3.5o 
4.  o 
4.10 
4.20 
4.3o 
4.4o 

i3.33 
13.19 
i3.  5 
12.39 

12.  I/ 

ii  .5o 

11.28 
II.  - 
10.4? 
10.28 

16.  o 
i6.3o 
17.  o 
17.  3o 
18.  o 
i8.3o 
19.  o 
19.30 

20.    0 
20.  30 

3.i7 
3.  1  1 
3.  5 
2.59 
2.54 
2.49 
2.44 
2.40 
2.36 

2.32 

70 
7i 

72 

?' 

74 
75 
76 

78 
79 

O.2 
O.2O 
0.19 
O.I 
O.I 
O.I 
0.1^ 
O.K 
O.I 
O.I 

2  2 

Height  of 

the  Eye  above  the  Sea  iu  b  cet. 

-W    . 
<o.SJH 

fc'gS 
SJ 

5 

10 

15 

20 

25 

30      35 

40 
Dip. 
M. 

~9*~ 
45 
3o 

23 

T 

12 
10 

Dip 

.  Dip. 

Dip. 

Dip. 

Dip.   1 

Dip.  Dip. 

M. 

M. 

M. 

M. 

M. 

M.     M. 

1 

I 

ii 

6 
4 
3 

23 
12 

8 
6 

34 
17 

12 

9 

6 
5 
4 

4b 

23 

i5 

12 

u 

!| 

68     -79 
34     4o 

23        27 
I7        20 

4-5o 
5.  o 
5.10 

5.20 

5.3o 
5.4o 
5.5o 
6.  o 
6.10 
6.  20 

~~S 
same 
not  V 

IO.IO 

9.53 

9.37 
9.2 

9-  7 
8.5 
8.3 

8.2 

8.1 
8. 

TE    TO 

as  are 
»pin£  Bf 

21  .    0 
21.  3C 
22.    C 
23.    C 

24.  c 

25.    C 

26.  c 
27.  c 
28.  c 
29.  c 

TABLE 
given  i 
>  far  dis 

2.28 
2.2/ 
2.20 
2.1^ 
2. 
2. 

i.5 
i  .5 
i.4 
i.4 

XVI.—' 
n  Table 
tanl  as 

80 
8 
82 
83 
84 
8 
86 
8 
8 
8 

Fhe  i 

XII 
,he  la 

O.I 

o. 
o. 

0. 

o. 
o.   t 

O.    i 

o.  * 
o« 
o. 

lumber 
I,  the  i 
nd 

:! 

2 

»4 

3 
3 

2 

9 

5 
4 

4 

IO 

8 
6 

12 
10 

8 

7 

14      10 

12        l4 
2        " 

8       9 

3 
3J 

4 
5 

2 
2 
2 
2 

3 
3 
3 

•«MMB 

3 

4 
4 

\ 

5 

5 
5 

4 
4 

6 

6 
5 
5 

7       8 

6       7 
6       7 
6       6 

—  =  ;r~ 

I 

7 
7 

1 

6 

2 

3 

4 

|    5       b       o 

.  of   this~Tahle  below  the  black  lines,  are  the 
risible  horizon,  corresponding  to.  those  heiffhts, 

—  *  ' 

TABLE     XXI.                                                    (Page  131 

For  turning  Degrees  and  Minutes  into  Time,  and  the  contrary. 

D. 

H.  M. 

D. 

H.  M. 

D. 

H.  M. 

D. 

H.  M. 

D. 

H.  M 

D. 

H.   M. 

M. 

M.  S. 

M. 

M.S. 

M. 

M.S. 

M. 

M.   S. 

M. 

M.   S. 

M. 

M.  S. 

i 

o.  4 

61 

4.  4 

121 

8.  4 

181 

12.    4 

24  1 

16.  4 

3oi 

ac.  4 

2 

o.  8 

62 

4.  8 

122 

8.  8 

182 

12.    8 

242 

16.  8 

302 

2C.    8 

3 

0.12 

63 

4.12 

123 

8.12 

i83 

12.12 

243 

16.  12 

3o3 

20.12 

4 

o.  16 

64 

4.16 

124 

8.16 

1  84 

12.  16 

244 

16.16 

3o4 

20.  l6 

5 

0.20 

65 

4.20 

125 

8.20 

i85 

12.20 

245 

16.20 

3o5 

20.2O 

6 

0.24 

66 

4.24 

126 

8.24 

1  86 

12.24 

246 

16.24 

3o6 

20.24 

7 

0.28 

67 

4.28 

I27 

8.28 

187 

12.28 

247 

16.28 

3o7 

20.28 

8 

0.32 

68 

4.32 

128 

8.32 

1  88 

12.32 

248 

16.  32 

3o8 

20.32 

9 

c.36 

69 

4-36 

I29 

8.36 

189 

12.36 

249 

i6.36 

3o9 

20.36 

10 

o,4o 

70 

4-4o 

r3o 

8.4o 

190 

12.40 

250 

16.40 

3io 

20.40 

1  1 

o.44 

7i 

4-44 

i3i 

8.44 

191 

'12.44 

25l 

16.44 

3ii 

20.44 

12 

0.48 

72 

4-48 

132 

8.48 

192 

12.48 

252 

16.48 

3l2 

20.48 

1  3 

0.52 

73 

4.52 

1  33 

8.52 

i93 

12.52 

253 

i6.52 

3i3 

20.52 

i4 

o.56 

74 

4.56 

x34 

8.56 

194 

12.56 

254 

i6.56 

3r4 

20.56 

i5 

.  o 

75 

5.  o 

1  35 

9.  o 

i95 

i3.  o 

255 

17.  o 

3i5 

21.    0 

16 

.  4 

76 

5.  4 

1  36 

9.  4 

.96 

i3.  4 

256 

17.  4 

3i6 

21.    4 

17 

.  8 

77 

5.  8 

i37 

9.  8 

197 

i3.  8 

257 

17-  8 

3i7 

21.    8 

18 

.  12 

78 

5.12 

1  38 

9.12 

198 

l3.  12 

258 

17.12 

3i8 

21  .  12 

J9 

.16 

79 

5.i6 

i39 

9.16 

199 

i3.i6 

259 

17.16 

3i9 

21.  16 

20 

.20 

80 

5.20 

i4o 

9.20 

200 

13.20 

260 

17.20 

32O 

21  .20 

21 

.24 

81 

5.24 

i4i 

9.24 

201 

i3.24 

261 

17.24 

321 

21  .24 

72 

.28 

82 

5.28 

i4a 

9.28 

2O2 

i3.28 

262 

17.28 

322 

21.28 

23 

.32 

83 

5.32 

i43 

9.32 

2O3 

i3.32 

263 

17.32 

323 

21  .32 

24 

.36 

84 

5.36 

1  44 

9.36 

204 

i3.36 

264 

17.36 

324 

21.36 

25 

.4o 

85 

5.4o 

i45 

9.40 

205 

i3.4o 

265 

17.40 

325 

21  .40 

26 

.44 

86 

5.44 

1  46 

9-44 

206 

i3.44 

266 

17.44 

326 

21.44 

27 

.48 

87 

5.48 

1  47 

9-48 

207 

i3.48 

267 

17.48 

327 

21.48 

28 

.52 

88 

5.52 

1  48 

9.52 

208 

i3.5a 

268 

17-52 

328 

21.52 

29 

.56 

89 

5.56 

1  49 

9.56 

209 

i3.56 

269 

17-56 

329 

21.56 

3o 

2.    0 

90 

6.  o 

i5o 

10.  o 

2IO 

14.  o 

270 

18.  o 

33o 

22.    0      • 

3i 

2.    4 

9< 

6.  4 

i5r 

10.  4 

21  I 

~i47~T 

271 

18.  4 

33i 

22.    4 

32 

2.    8 

92 

6.  8 

152 

10.  8 

212 

14.  8 

272 

18.  8 

332 

22.    8 

33 

2.  12 

93 

6.12 

1  53 

IO.I2 

2l3 

14.12 

273 

18.12 

3J3 

22.  12 

34 

2.16 

94 

6.16 

1  54 

10.  l6 

2r4 

14.16 

274 

18.16 

334 

22.16 

35 

2.20 

95 

6.20 

1  55 

IO  .  20 

2l5 

14.20 

275 

18.20 

335 

22.2O 

3G 

2.24 

96 

6  24 

1  56 

IO.24 

216 

14.24 

276 

18.24 

336 

22.24 

37 

2.28 

97 

6.28 

i57 

10.28 

2I7 

14.28 

277 

18.28 

337 

22.28 

38 

2.32 

V8 

6.32 

1  58 

IO.32 

218 

i4.32 

278 

18.32 

338 

22.32 

39 

2.36 

99 

6.36 

i59 

io.36 

2I9 

i4.36 

279 

i8.36 

339 

22.36 

4o 

2.4o 

100 

6.40 

1  60 

10.  4o 

220 

i4-4c> 

280 

18.40 

34o 

22.4O 

4i 

2.44 

101 

6.44 

161 

10.44 

221 

14-44 

281 

i8.44 

34i 

22.44 

42 

2.48 

102 

6.48 

162 

10.48 

222 

14.48 

282 

18.48 

342 

22.48 

43 

2.52 

io3 

6.52 

1  63 

10.52 

223 

i4.52 

2&3 

18.52 

343 

22.52 

44 

2.56 

104 

6.56 

1  64 

io.56 

224 

i4.56 

284 

18.  56 

344 

22.56 

45 

3.  o 

io5 

7.  o 

i65 

II  .    O 

225 

i5.  o 

285 

19.  o 

345 

23.    0 

46 

3.  4 

106 

7-  4 

166 

ii.  4 

226 

i5.  4 

286 

19.  4 

346 

23.  4 

47 

3.  8 

107 

7.  8 

167 

ii.  8 

227 

i5.  8 

287 

19.  8 

347 

23.  8 

48 

3.12 

:o8 

7.12 

1  68 

II  .12 

228 

l5.  12 

288 

19.  12 

348 

23.12 

49 

3.i6 

109 

7.16 

169 

ii.  16 

229 

i5.i6 

289 

19.16 

349 

23.16 

5o 

3.20 

no 

7.20 

170 

ii  .20 

230 

1  5.  20 

290 

I9.2O 

35o 

23.20 

~irr 

3.24 

in 

7-24 

171 

ii  .24 

23l 

i5.a4 

291 

19.24 

35i 

23.24 

52 

3.28 

112 

7.28 

172 

11.28 

232 

i5.28 

292 

19.28 

352 

23.28 

53 

3.32 

:;3 

7.32 

i73 

11.32 

233 

i5.32 

293 

19.32 

353 

23.32 

54 

3.36 

u4 

7.36 

174 

n.36 

234 

i5.36 

294 

19.  36 

354 

23.36 

55 

3.4o 

ii5 

7-4o 

i75 

n.4o 

235 

i5.4o 

296 

19.40 

355 

23.  JO 

56 

3.44 

116 

7-44 

176 

n.44 

236 

r5.44 

2$6 

19.44 

356 

23.44 

57 

3.48 

117 

7.48 

177 

n.48 

237 

1  5.  48 

297 

19.48 

357 

23  48 

b8 

3.52 

118 

7.52 

178 

11.52 

238 

i5.52 

298 

19.52 

358 

23.  5a 

59 

3.56 

119 

7.56 

179 

u.56 

239 

i5.56 

299 

19.  56 

359 

23.56 

60 

4.  o 

120 

8.  o 

r8o 

12.    0 

2.40 

16.  o 

3oo 

20.  o 

36o 

24.  o 

Page  132] 


TABLE  XXII. 


s. 

h  m 
0°  (X 

h,  m 
0°  1' 

h   m 
0°  W 

h   m 
0°  3' 

h   m 
0°  4' 

h   m 
0°  5' 

h   m 
0°  6! 

h  m 

0°  7' 

h  m 

0°  8 

S 

o 

i 

2 

3 

4 

4.o334 
3  7324 
5563 
43i4 

2.2553 
2481 
2410 
234  1 
2272 

:.9542 
95o6 
9471 
9435 
9400 

1.7782 
77^7 
7734 
7710 
7686 

.6532 
65i4 
6496 
6478 
646o 

1.5563 
5549 
5534 
5520 
55o6 

1.4771 
4769 
4747 

4735 

4723 

i  .4102 
4091 
4081 
4071 
4061 

1.3522 

35i3 
35o4 

3496 
3486 

o 

2 

3 
4 

5 
,  6 

8 
9 

3.3345 
2553 
1  883 
i3o3 
0792 

2.22O5 
2l39 
2073 
2009 
1946 

i  .  9365 
933  1 
9296 
9262 
9228 

1.7663 
7639 
7616 
7593 
7670 

i  .6443 
6425 
6407 
639o 
6372 

1.5491 

5477 
5463 
5449 
5435 

1.4711 
4699 
4688 
4676 
4664 

i  .4060 
4o4o 
4o3o 

4020 

4o  i  o 

1.3477 
3468 

3459 
34  5o 
344  1 

5 
6 

7 
8 

9 

10 
1  1 

I  2 

1  3 
i4 

3.o334 
2.9920 
9542 
9195 

fe873 

2.i883 
1822 
1761 
17.01 
1642 

1.9195 
9162 
912.8 

9°96 
9063 

1.7547 
7524 
7601 

7479 
7456 

1.6355 
6338 
6320 
63o3 
62.86 

1.5421 
54o7 
5393 
5379 
5365 

1.4652 
464o 
4629 
46i7 
46o6 

i  .  4ooo 
3989 
3979 
3969 
3959 

1.3432 
3423 
34i5 
34o6 
3397 

10 

ii 

12 

i3 

i4 

i5 

16 
17 
18 

'9 

a.8573 
8ao3 
BoSo 

7782 
7547 

2.i584 
1  5  26 
1469 
Ui3 
i358 

i  .903  1 
8999 
8967 
8935 
8904 

1.7434 
74  12 
739o 
7368 
7346 

i  .6269 
6262 
6235 
6218 
6201 

i.535i 
5337 
5324 
53.o 
5296 

i  .4594 
4582 
457i 
4559 
4548 

i  .3949 
3939 

3929 
39'9 
39io 

1.3388 
3379 

337i 
3362 
3353 

i5 
16 

17 
18 

19 

2O 
21 
22 
23 

a4 

2.7324 

71  12 

69  1  o 

6717 

6532 

2  .  1  3o3 
1249 
1  1  96 
ii43 
1091 

i.8873 

8842 
8811 
8781 
875. 

i  .732.4 

7302 

7281 
7259 

7238 

i.6i85 
6168 
6i5i 
6i35 
6118 

1.5283 
5269 
5256 
5242 
5229 

i  .4536 
4525 
45i4 

45o2 

4491 

388o 
387o 
386o 

1.3345 
3336 
3327 
33i9 
33io 

2G 
21 
22 
23 

24 

a  5 

26 

»7 

28 
29 

2.6355 
6i85 
6021 
5863 
5710 

2  .  I  040 

0989 

O93c; 
0889 
o84o 

i  .8721 

8632 
8602 

1.7217 
7196 

7i75 
7  '  54 
7i33 

i  .6102 
6o85 
6o69 
6o53 

6o37 

i.5vi5 

5202 

5i89 
5.75 
5  1  62 

i.448o 
4468 
4457 
4446 
4435 

i.385i 
384  1 
383i 
382i 
38i2 

j.33oi 
3293 
32^4 
3a76 
3267 

25 
2.6 

27 
28 
29 

3o 
3i 

32 

33 

34 

2.5563 
5421 
5283 
5i49 
5019 

2.0792 
o744 
0696 
0649 
o6o3 

1.8673 
8544 
85i6 
848? 

8459 

I  .71  12 
7091 
7071 

7060 
7o3o 

i  .6021 
6oo5 
5989 
5973 
5957 

1.6149 
5  1  36 

5ia3 
5no 
6097 

r.4424 
44  12 
44oi 

4390 
4379 

i.38o2 

3792 
3783 

3773 
3764 

1.3269 

32.5o 

3242 

32.33 

3225 

3c 
3i 

32 

33 

34 

35 
36 
37 
38 
39 

2.4894 
477' 
4652 
4536 
4424 

2.o557 

O5l2 

0467 

0422 

0378 

1.843! 
84o3 
8376 
8348 
8320 

i  .  70  1  o 
6900 
6970 
6950 
693o 

1.6941 

5925 
6909 
5894 
5878 

i.5o84 
5o7i 
5o58 
5o45 
5o32 

1.4368 
4357 
4346 
4335 
4325 

1.3754 
3745 
3735 
3726 
37i6 

i.  32i6 
32.08 

3'99 
3191 
3i83 

35 
36 
37 
38 

39 

4o 
4i 
4a 

43 

44 

2.43i4 
4206 

4l02 

4ooo 
3900 

2.o334 
0291 
0248 
0206 
01  64 

1.8293 
8266 
8239 
8212 
8i8f 

i  .  69  1  o 
6890 
6871 
685  1 
6832 

1.5863 
5847 
5832 
58i6 
58oi 

i  .6019 

5oo7 

4994 

498i 
4969 

i.43i4 

43o3 
4202 
4281 
4270 

i  .3707 
3697 
3688 
3678 
3669 

i.3i74 
3  1  66 

3.58 
3i49 
3i4i 

4o 
4i 
42 
43 
44 

4r> 
46 

47 
48 
49 

2.3802 

3707 
36i3 

3522 

3432 

2.0122 
Ou8l 

o<>4o 
oooo 

1.9960 

1.8169 
8i33 
8107 
8081 
8o55 

1.6812 
6793 
6774 
6755 
6736 

1.6786 

577i 
5755 
574o 
5725 

i  .4956 
4943 
493i 
4918 
4906 

1.4260 
4249 
4238 
4228 
4217 

i.366o 
365o 
364  1 
3632 
3623 

i.3:33 
3  1  2.4 
3  1  16 
3io8 
3  1  oo 

45 
46 
47 
48 
49 

5o 
5i 

52 

53 
54 

2.3345 
3259 
3i74 
8091 
3oio 

I  .9920 
9881 

9842 

98o3 
9?65 

i.8o3o 
8oo4 

7979 
7954 
7929 

i  .6717 
6698 
6679 
666, 
664  2 

I  .5710 

5695 
568o 
5666 
565  1 

1.4894 
488  1 
4869 
4856 
4844 

i  .4206 
4196 
4i85 
4i75 
4i64 

i  .36i3 
3*o4 

3576 

i  3091 
3o§3 
3o75 
3o6? 

3o59 

f)<> 
5i 

52 

53 
54 

re 

55 
56 

57 
58 

K 

2  293l 
2852 

2-775 
2700 

2626 

1.9727 
9600 
9652 
9615 
9579 

1.7904 
7879 
785$ 
783o 
7806 

1.6624 
66o5 
6587 
6568 
655o 

1.5636 
562i 
56o7 
5592 

5578 

1.4832 
4820 
48o8 
4795 
4783 

i.4i54 
4i43 
4i33 

4l22 
4l  12 

i  .3567 
3558 
3549 
354o 
353i 

!  .OODI 

3o43 
:   3o34 
'<   3o?.6 
3oifi 

56 

57 
58 

59 

S 

0°  0' 

0°  1' 

0°  2' 

0°  3 

0°  4' 

0°  5' 

0°  & 

0°  7' 

0°  H' 

S. 

TABLE  XXII.               [Pa,-  133 
Proportional  Logarithms. 

S. 

h  m 
0°  9> 

h  m 
0°  10' 

h  m 
0°  11 

h  m 
0°  12' 

h  m 
0°  13' 

h  m 
0°  14' 

/*   TO 

0°  15' 

h  m 
0°  16' 

k  m 
0°  17' 

3. 

0 

i 

2 

3 
4 
5" 
6 

6 

9 

10 

ii 

12 

i3 

i4 

i  ,3oio 

3OO2 

2994 
2986 
2978 

1.2553 
2545 
2538 
253  1 

2524 

i  .2139 

2l32 
2126 
2119 
2Il3 

1.1761 
i755 
1749 
1743 
i737 

'i4o8 

1402 

i397 
1391 

i.  1091 
1086 
1081 
1076 

1071 

1.0792 
0787 
0782 
0777 
o773 

I  .O5l2 

•  0507 

0502 

0498 
0493 

i  .0248 
0244 
0240 
0235 

023l 

I  .0297 

0223 
0219 

0214 

02IO 

0 

I 

2 

3 
4 

1.2970 
2962 
2954 
2946 
2939 

i.25i7 

25lO 
2502 

2495 
2488 

I  .2106 
2080 

i.i73i 

I725 
1710 

I7i3 
1707 

i.i386 
i38o 
i374 
1  369 
1  363 

i  .1066 
1061 
io55 
io5o 
io45 

1.0768 
o763 
o758 
o753 
0749 

i  .0489 
0484 
0480 

0471 

5 
6 

8 
9 

1.2931 

2923 
2915 

2907 

2899 

i.  2481 
2474 
2467 
2460 
2453 

I  .2073 
2067 
2061 
2o54 
2048 

l.I7OI 

1695 

1  683 
i677 

i.i358 
i352 
i347 
1  342 
1  336 

i  .  io4o 
io35 
io3o 

IO25 
IO20 

1.0744 
o739 
o734 
0730 
0725 

1.0467 
0^62 
o458 
o453 
0449 

I  .0206 
02O2 

0193 
0189 

10- 

ii 

12 

i3 
i4 
i5 
16 

17 

18 
19 

i5 

16 

18 
19 

1.2891 
2883 
2876 
2868 
2860 

r.2445 
2438 
243  1 
2424 
2417 

i  .2041 
2o35 
2028 

2022 
20l6 

i.i67i 
1  665 
1660 
i654 
1  648 

'"iSaS 

l320 

i3i4 
1  309 

i  ,ioi5 
1009 
ioo4 
0999 
0994 

i  .0720 
0715 
0711 
0706 
0701 

i.o444 
o44o 
o435 
o43  1 
0426 

I.OI85 

0181 

oi76 

OI72 

0168 

20 
21 
22 
23 

24 

1.2852 

2845 

2837 
2829 
2821 

i  .2410 

23o6 
2389 

2382 

I  .  2009 
2003 
1996 
1990 
1984 

i  .1642 
1  636 
i63o 
1624 
1619 

i.i3o3 
1298 
1292 
128-7 
1282 

1.0989 
0984 
0979 
0974 
0969 

i  .0696 
0692 
0687 
0682 
0678 

i  .0422 
o4i8 
o4i3 
0409 
o4o4 

I  .0164 
0160 
oi56 
oi5i 
oi47 

20 
21 

22 
23 

24 

25 
26 

27 
28 

1.2814 
2806 
2798 
2-791 
2783 

i.2375 
2368 

2362 

2355 
2348 

1.1977 
1971 

i965 
i958 
1952 

i6o7 
1  60  1 
i595 
i589 

I  .I276 
I271 
1266 
I2OO 

1255 

1.0964 
o959 
0954 
0949 
0944 

1.0673 
0668 
o663 
o659 
o654 

i  .o4oo 
o395 
0391 
0387 
o382 

i.oi43 
01  .3  9 
oi35 
oi3i 
0126 

25 

26 
27 
28 
29 

CO  CO  CO  CO  CO 

4X  Co  to  «  O 

1.2775 
2768 
2760 
2753 
2745 

i.234i 
2334 

2327 
2320 

23i3 

1.1946 
1939 
i933 
1927 
1921 

r.i584 
i578 

l572 

1  566 
i56i 

i  .  1  249 
1244 
1239 
1233 
1228 

1.0939 
0934 
0929 
0924 
0919 

i  .0649 
o645 
o64o 
o635 
o63i 

1.0378 
o374 
o369 
o365 
o36o 

i  .0122 
0118 
01  14 

01  10 

0106 

3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

1.2738 
2700 
2722 

27l5 

2707 

i  .2307 
23oo 
2293 
2286 
2279 

1.1914 
1908 
1902 

i.i555 
1  549 
1  543 
1  538 
i532 

I.  1223 

I2I7 
1212 
1207 
I2OI 

1.0914 
0909 
0904 
0899 
0894 

i  .0626 
0621 
0617 
0612 
0608 

i.o356 
o352 
o347 
o343 
0339 

i  .0102 
0098 
0093 
0089 
0085 

35 
36 

38 
39 
4o 
4i 

42 

43 
44 

4o 
4i 

42 

43 

44 
45 
46 
47 
48 

49 

I  .2700 
2692 
2685 
2678 
2670 

I  .2272 

2266 

2259 

2252 

2245 

i.i883 
i877 
1871 
1  865 
i859 

1.1626 

l520 

i5i5 

i5o9 
i5o3 

I  .1196 
II9I 

1186 
1180 
n75 

i  .0889 
0884 
0880 
o875 
0870 

i.o6o3 
o598 
o5o4 
o589 
o585 

i.o334 
o33o 
o326 

O32I 

o3i7 

1.0081 

0077 

oo73 
0069 
oo65 

1.2663 
2655 
2648 
2640 
2633 

I  .2239 

2232 
2225 
22l8 
2212 

i.i85a 

1  846 
i84o 
i834 
1828 

1.1498 
1492 
i486 
i48i 
i475 

I  .  1  1  70 

1164 
1  1  59 
ii54 
1149 

i.o865 
0860 
o855 
o85o 
o845 

i  .o58o 
o575 
0571 
o566 
o562 

i.o3i3 
o3o8 
o3o4 
o3oo 
0295 

i  .0061 
0057 
oo53 
0049 
oo44 

45 
46 
47 
48 

49 

So 

5i 

52 

53 
54 

i  .  2626 
2618 
2611 
2604 
2596 

I  .2205 
2108 
2192 

2i85 
2178 

1.1822 
1816 

1809 
T8o3 

1797 

1.1469 

i464 
i458 

1  447 

i.n43 
n38 
ii33 
1128 

1123 

i  .0840 
o835 
o83i 
0826 
0821 

i  .o557 
o552 
o548 
o543 
o539 

I.  0201 

0287 
0282 
0278 
0274 

i  .0040 
oo36 

0032 

0028 
0024 

bo 
5i 

52 

53 
54 

55 
56 

57 

58 
59 

1.2589 

2582 

2574 
2567 
256o 

i  .2172 
2i65 

2  I  59 
2l52 

2i45 

1.1791 
i785 

1779 

i773 
1767 

'i436 
i43o 
1424 
1419 

i  .1117 

III2 
1107 
1  102 

1097 

i.  0816 
0811 
0806 
0801 

0797 

i  ,o534 
o53o 
o525 

O52I 

o5i6 

1.0270 
0265 
0261 

O257 
O252 

I  .0020 
0016 

OOI2 
0008 

ooo4 

55 
56 
57 
58 
59 

S. 

0°  9* 

0°  10' 

0°  11' 

0°  12' 

0°  13' 

0°  14' 

0°  1.7 

0°  16' 

0°  17' 

S. 

Page  134]                      TABLE  XXII. 

Proportional  Logarithms. 

S. 

o 
i 

2 

3 

4 
5 
6 

8 
9 

m 

0  18' 

m 
19' 

h  m 

°20' 

m 

h  m 

)°22' 

m 

m 

°24' 

h  m 

°25' 

k  m 

°26/ 

m 

h  m 

°28' 

h  m 
°29' 

S. 

o 
i 

2 

3 

_4_ 

6 
8 

10 

ii 

12 

i3 

i4 

0000 

9996 
9992 

Q988 
9984 

765 
76i 
758 
754 
75o 

9542 
9539 
9535 
9532 

933  1 

9327 
9320 

93i7 

9I28 
9I25 
9I22 
9II9 

9n5 

935 
9^2 
929 
926 
8923 

875i 
8748 
8745 
8742 
8739 

8573 
857o 
8568 
8565 
8562 

84o3 
84oo 
8397 
8395 

8892 

a39 
234 

23l 

8228 

808  1 

8076 
8073 
8071 

7929 
•7926 

7924 
7921 

•7916 

•7911 

79°9 
7906 

9980 
99-76 
9972 
9968 
9964 

746 

742 

73i 

*§& 

9bi7 
95i4 

93i3 
93io 
93o6 
93o3 

9112 
9109 
9106 
9102 
9099 

920 
8917 
89i3 
910 

8907 

8736 
8733 
873o 
872-7 
8-724 

8559 
8556 
8553 
855o 
8547 

8389 
8386 
8384 
838  1 
8378 

8226 
8223 
8220 
8218 
8215 

8068 
8c66 
8o63 
8061 
8o58 

10 

ii 

12 

i3 

i4 

9960 
9956 

9952 

9948 
9944 

727 

723 
720 
7l6 

7I2 

95o6 
95o3 

9499 
9496 
9492 

9296 
9293 
9289 
9286 
9283 

9096 
9092 

9o83 

89o4 
89oi 
8898 
8895 
889.2 

872I 

87i8 
87i5 

87I2 

87o9 

8544 
8542 
8539 
8536 
8533 

8375 
8372 
837o 
8367 
8364 

8212 
8210 

$204 

8o55 
8o53 
8o5o 
8o48 
8o45 

-7904 
79o: 
7899 
7896 
7894 

i5 
16 

18 

20 
21 
22 
23 
24 

994° 
9936 
9932 
9928 
9924 

708 

7o5 
701 
9697 
9693 

9488 
9485 
948i 
9478 
9474 

9279 
9276 
9272 

9269 

9266 

9079 

9073 

9070 
9066 

8888 
8885 
8882 
8879 
88-76 

87o6 
87o3 
37oo 
8697 
8694 

853o 
8527 
8524 

8522 

8519 

836i 
8359 
8356 
8353 
835o 

8i99 
8196 
8194 
3191 
8188 

8o43 
8o4o 
8o37 
8o35 
8o32 

•7891 
•7889 

7884 
7882 

i5 
16 

17 
18 

'9 

0920 
9916 
9912 
9908 
99o5 

9686 
9682 
9678 
9675 

9471 
9467 
9464 
9460 
9456 

9262 

9259 

9,55 

9252 

92.49 

9063 
9060 
9057 
9o53 
9o5o 

8873 
887o 
8867 
8864 
8861 

869i 
8688 
8685 
8682 
8679 

85i6 
85i3 
85io 

85o7 
85o4 

8348 
8345 
8342 

8339 

8337 

8186 
8i83 
8181 
8178 
8175 

8o3o 
8027 
8o25 
8022 
8020 

7879 
7877 

7874 

7872 

7869 

20 

21 
22 
23 
24 
25 
26 

27 
28 

29 

25 
26 
27 
28 
29 

9901 

9897 
9893 
9889 
9885 

9671 
9667 
9664 
9660 

9656 

9453 
9449 
9446 
9442 
9439 

9245 

9242 
9238 
9235 
9232 

9o47 
9o44 
9o4i 
9037 
9o34 

8857 
8854 
885i 
8848 
8845 

8676 
8673 
867o 
8667 
8664 

85o2 

8499 
8496 
8493 
8490 

8334 
833  1 
8328 
8326 
8323 

8173 
8i7o 
8167 
8i65 
8162 

8017 
80  1  4 
8012 
8009 
8007 

7864 
7862 
7859 

7857 

3o 
3i 

32 

33 

34 
35 
36 

3? 

38 
39 

9881 
9877 
9873 
9869 
9865 

9652 
964? 

9645 
9641 
9638 

9435 

9425 
9421 

9228 
9225 
9222 
9218 
9215 

903  1 
9028 
9024 
9021 

9018 

8842 
8839 
8836 
8833 
883o 

8661 
8658 
8655 
8652 
8649 

8487 
8484 
8482 

8479 
8476 

8320 
83i8 
83i5 
83i2 
83o9 

8i59 

8i54 
8i52 
8149 

8oo4 
8002 
7999 
7997 
7994 

7852 
785o 
7847 
7845 

3o 
3i 

32 

33 
34 

9861 
9858 
9854 
985o 
9846 

9634 
963o 
9626 
9623 
9619 

94i8 
94i4 
94n 
94o7 
94o4 

9212 
9208 
9205 
9201 
9198 

901  5 
9012 
9ooc 
9005 
9002 

8827 
8824 
8821 
88i7 
8814 

8646 
8643 
864o 
8637 
8635 

84?3 
847o 
8467 
8465 
8462 

83o4 
83oi 
829.8 
829.6 

8i46 
8i44 
8i4i 
8.  1  38 

8  1  36 

7992 
7989 
79.87 
7984 
_798_i_ 

7979 
7976 

79/4 

7969 

784o 
7837 
7835 
7832 

35 
36 
37 
38 
39 
4o 

4a 
43 

44 

4o 
4i 

42 
43 
44 
45 
46 

47 

48 
49 

9842 
9838 
9834 
983o 
9827 

9615 
9612 

9608 
9604 
9601 

94oo 

9397 
9393 
9390 
9386 

9i95 
9i9i 
9i88 
9i85 
9i8i 

8999 
8996 
8992 
8989 
8986 

88n 
8808 
88o5 
8802 
8799 
8796 
8793 
8-^90 
8787 
8784 

8632 
8629. 
8626 
8623 
8620 

8459 
8456 
8453 
845i 
8448 

8293 
829.0 
8288 
8285 
8282 

8i33 
8i3i 
8128 
8125 

<l<l<l^l-jl^l<j<l<l^] 

O  CO  CO  OO  OO  CO  OO  OC  CO  OO  O 

i  oo  1-1  co  en  oo  o  co  en  co  o 

9823 
0810 
98i5 
9811 
9807 

9593 
959o 
9586 
9582 

9376 

9372 

9369 

51178 
9i75 
9.171 
9i68 
9i65 

8983 
8980 
8977 
8973 
8970 

86i7 
86i4 
8611 
8608 
86o5 

8445 
8442 
8439 
8437 
8434 

8277 
82-74 
82-71 
8269 

8120 
8117 
8ii5 
8112 
8110 

7966 

796i 

7959 
7956 

40 

46 
47 
48 
49 
5o 
5i 

52 

53 
54 
55" 
56 
57 
58 
59 

5o 
5i 

52 

53 

54 

56 
57 
58 
59 

9803 
9800 
9-796 

9792 

9788 

957t> 
9571 
9568 

9365 
9362 
9358 
9355 
935 

9l62 

9i58 
9i55 

9l52 

9i48 

8967 
8964 
896 
8958 
895 

878i 
8778 

8775 

8772 

8769 

8602 
8599 

8597 
8594 
859i 

843  1 
8428 
8425 
8423 
8420 

8266 
8263 
8261 
8258 
82.55 

8107 
8io4 
8102 
8099 
8097 

7954 
795: 
794.9 
7946 
7944 

78o3 
78oi 
7798 
7796 

978/ 
9780 

9777 
977- 

0700 

9557 
9553 
955o 
9546 

9348 
9344 
934 
933 
o33 

9i45 
9142 
9i38 
9i35 

895 
894 
8945 
8942 
8939 

8766 
8763 
876o 
8757 
8754 

8588 
8585 
8582 
8579 
8576 

84i7 
84i4 
84n 
8409 
84o6 

8253 
825o 

8244 
824 

8094 
8091 
8089 
8086 
8o84 

•7941 

7939 
7936 

7934 
793i 

7794 

779 
7789 
7786 
7784 

'0°29 

S 

0°  1 

0°  19'  0°  2 

0°2 

'0°2, 

0°24 

'0°25 
—  . 

0°2 

0°27 

0°28 

S. 

TABLE  XXIL               l1'^  us 
Proportional  Logarithms. 

S. 

A  m 

o°3(y 

A  m 
0°31' 

h  m 
0°  32' 

h  m  h  m 
0°  33/|0°  34'' 

A  m 
0°35' 

A  m 
0°36/ 

A  m 

0°37' 

A  m 

0°  38' 

A  m 
0°  39' 

|A  m 
0°40' 

A  m 
0°  41' 

S. 

c 
i 

2 

3 
4 

5 
6 

8 
9 

o 

2 

3 
4 

7782 
7779 
7777 
7774 
7772 

7639 

7637 
7634 
7632 
763o 

75oi 
7499 
7497 
7494 
7492 

7368 
7365 
7363 
736i 
7359 

7238 
7236 
7234 

7232 

7112 
7110 
7108 
7106 
7104 

6990 
6988 
6986 
6984 
6982 

687i 
6869 
6867 
6865 
6863 

6755 
6753 
675i 
6749 

6747 

6642 
66'4o 
6638 
6637 
6635 

663T 
663  1 
6629 
662-7 
6625 

6532 
653o 
6629 
6527 

6525 

6425 
6423 
6421 
6420 
6418 

5 
6 
7 

8 

9 

7769 
7767 
7765 
7762 
7760 

7627 
7625 
7623 
7620 
7618 

7490 
7488 
7485 
7483 
748  1 

7357 
7354 
7352 
735o 
7348 

7227 

7225 
7223 
7221 

7219 

7102 
7100 

7098 
7096 
7093 

6980 
6978 
6976 
6974 
6972 

6861 
6859 
6857 
6855 
6853 

6745 
6743 
6742 
6740 
6738 

6523 
652i 
65i9 
65i8 
65i6 

64  16 
64  14 
64i3 
64ii 
6409 

10 
ii 

12 

i3 

i4 

7757 
7755 
7753 
775o 
7748 

7616 
76i3 
7611 
7609 
7607 

7479 
7476 

7474 

747o 

7346 
7344 

7339 

7337 

7335 
7333 
733o 
7328 
7326 

7217 
72i5 
7212 
7210 

7208 

7089 
7087 
7o85 
7o83 

6970 
6968 
6966 
6964 
6962 

685  1 
6849 
6847 
6845 
6843 

6736 
6734 
6732 
673o 
6728 

6624 
6622 
6620 
6618 
6616 

65i4 
65i2 
65  10 
6509 
65o7 

6407 
G4o6 
04o4 
6402 
64oo 

10 

ii 

12 

i3 
i4 

i5 
16 

18 
20 

21 
22 
23 

24 

7745 
7743 
774  1 
7738 
7736 

7604 
7602 
7600 
7597 
7595 

7467 
7465 
7463 
746  1 
7458 

7206 
7204 
7202 
7200 
7198 

7081 
7079 

7077 
7075 
7073 

6960 
6958 
6956 
6954 

695  2 

684  1 
684o 
6838 
6836 
6834 

6726 
6725 
6723 
6721 
6719 

6614 
6612 
6611 
6609 
66o7 

65o5 
65o3 
65oi 
65oo 
6498 

6398 
6397 
6395 
6393 
639r 

i5 

16 

17 
18 

19 

7734 
773i 
7729 
7726 

7724 

7593 
759o 
7588 
7586 
7.583 

7456 
7454 
7452 
745o 
7447 

7322 
7320 

73i7 
73i5 

7196 
7i93 
7191 
7189 
7187 

7071 
7069 
7067 
7065 
7063 

695o 
6948 
6946 
6944 
6942 

6832 
683o 
6828 
6826 
6824 

6717 
67i5 
67i3 
6711 
6709 

66o5 
66o3 
6601 
6600 
6598 

6496 
6494 
6492 
649i 
6489 

639o 
6388 
6386 
6384 
6383 

20 

21 
22 
23 
24 

25 
26 

27 
28 

7722 
7719 
77i7 
7714 
7712 

758i 

7579 
7577 

7574 

7572 

7445 
7443 
744  1 
7438 
7436 

73i3 
73n 

73oo 

73oo 
•7298 
•7296 
•7294 

7i85 
7i83 
7181 
7179 

7177 

7061 
7059 
7057 
7o55 
7o52 

6940 
6938 
6936 
6934 
6932 

6822 
6820 
6818 
6816 
6814 

6708 
6706 
6704 
6702 
67oo 

6596 
6594 
6592 
6590 
6589 

6487 
6485 
6484 
6482 
648o 

638  1 
6379 

6376 
6374 

25 

26 
27 
28 
29 

Co  Co  Co  Co  Co 

4X  Co  (0  t-t  CD 

7710 
7707 
7706 

77o3 
7700 

7570 
7567 
7565 
7563 
756o 

7434 
7432 
7429 
7427 
7425 

7172 
7170 
7168 
7166 

7o5o 
7o48 
7046 
7044 
7042 

693o 
6928 
6926 
6924 
6922 

6812 
6810 
6809 
68o7 
68o5 

6698 
6696 
6694 
6692 
6691 
"6689" 
6687 
6685 
6683 
6681 

6587 
6585. 
6583 
658  1 
6579 

0478 
64-6 
6475 
6473 
647i 

6372 
637i 
6369 
6367 
6365 

"6364" 
6362 
636o 
6358 
6357 

3o 

3r 

32 

33 
34 

35 
36 

11 
39 

7698 
7696 
7693 
7691 
7688 

7558 
7556 
7554 
755i 

7423 

74i8 
74i6 
74i4 

7291 
7289 
7287 
7285 
7283 

7164 
7162 
7160 
7i58 
7  1  56 

7040 
7o38 
7036 
7034 
7o32 

6920 
6918 
6916 
6914 
6912 

68o3 
6801 

6799 
6797 

6795 

6578 
6576 
6574 
6572 
6570 
6568 
656- 
6565 
6563 
656  1 

6469 
6467 
6466 
6464 
6462 

35 
36 

38 

4o  • 
4i 

42 

43 
44 
"45" 
46 
47 
48 

49 

4o 
4i 

42 

43 
44 

7686 
7684 
7681 
7679 

7677 

7544 
7542 
754o 
7538 

7412 
7409 
7407 
74o5 
74o3 

7281 
7279 
7276 
7274 

7272 

7!52 

7149 
7i47 
7i45 

7o3o 
7028 
7026 
7024 
7022 

6910 
6908 
6906 
6004 

69O2 

6793 
679i 
6789 
6787 
6785 

6679 
6677 
6676 
6674 
6672 

646o 
64  59 
6457 
6455 
6453 

6355 
6353 
635i 
635o 
6348 

45 
46 
47 
48 

49 

7b74 
7672 
7670 
7667 
7665 

7535 
7533 
753i 
7528 
7526 

74oi 
7398 
7396 
7394 
7392 

7270 
7268 
7266 
7264 
7261 

7i43 
7i4i 
7139 

7i37 
7i35 

7020 
7018 
7016 
7014 

7012 

69oo 
6898 
6896 
6894 
6892 

6784 
6782 
6780 
6778 
6776 

6670 
6668 
6666 
6664 
6663 

6559 
6558 
6556 
6554 
6552 

645  1 
645o 
6448 
6446 
6444 

6346 
6344 
6343 
634  1 
6339 

5o 
5i 

52 

53 
54 
55 
56 

59 

7663 
7660 
7658 
7655 
7653 

?522 

75i9 
75i7 
75i5 

7390 
7387 
7385 
7383 
738i 

7259 

7255 
7253 

725l 

7i33 
7i3i 
7129 
7127 
7124 

7010 
7008 
7006 
7004 
7002 

6890 
6888 
6886 
6884 
6882 

6774 
6772 
6770 
6768 
6766 

6661 
6659 
6657 
6655 
6653 

655o 
6548 
6547 
6545 
6543 

6443 
644  1 
6439 
6437 
6435 

6338 
6336 
6334 
6332 
633  1 

5o 
5i 

52 

53 
54 
IT" 
56 
57 
58 

S. 

765  1 
7648 
7646 
7644 

75i3 
75io 
75o8 

75o6 
75o3 

7379 
7376 
7374 

7372 

737o 

7249 
72.46 
7244 
7242 
7240 

0°33' 

7122 
7120 
7118 
7116 
7114 

7000 
6998 
6996 
6994 
6992 

6881 
6879 
6877 
6875 
6873 

6764 
6763 
6761 
6759 
6757 

665  1 
665o 
6648 
6646 
6644 

654  1 
6539 
6538 
6536 
6534 

6°~39' 

6434 
6432 
643o 
6428 
6427 

6329 
6327 
6325 
6324 

6322 

S 

0°?W 

0°  31'  0°  32' 

0°  34'iO°  35'' 

0°  36'jO0  37' 

0°  38' 

0°  40'JO0  41' 

^  13UJ                TABLE  XXII. 
Proportional  Logarithms. 

S. 

0 

i 

2 

3 
4 
5" 
6 
•j 
8 
9 

10 

n 

12 

i3 
i4 
"i5 
16 

17 
18 

]9 

h  m  h  in 
0°  42'  0°  43' 

h  m 
0°44' 

h  m 
0°45' 

k  m 
0°46' 

h  m 

0°47' 

h  m 

0°  48' 

h  m 

Q°49' 

h  m 

Q°50 

h  m 
0°51 

h  m 
0°52' 

h  m 
0°53' 

S. 
o 

2 

3 

4 

~r 

6 

8 
9 

63  20 
63  r  9 
63i7 
63  1  5 
63  1  3 

6218 
6216 
62i5 
6213 
621  1 

6118 
61  17 
6n5 
6u3 
6112 

61  10 
6108 
6107 
6io5 
6io3 

6021 
6019 
6017 
6016 
6014 

5925 
5924 
5922 
5920 
59i9 

583a 
583o 
5829 
5827 
5826 

574o 
5739 
5737 
5736 
5734 

565  1 
5649 
5648 
5646 
5645 

5563 
5562 
556o 
5559 
5557 

5477 
5476 
5474 
5473 
5471 

5393 
539i 
539o 
5389 
5387 

53io 
5309 
53o7 
53o6 
53o5 

63  1  2 
63io 
63o8 
63o6 
63o5 

6210 
6208 
6206 
6205 
6203 

6oi3 
6011 
6009 
6008 
6006 

5917 
59i6 
59i4 
5913 
591  1 

5824 
5823 
582i 
58i9 
58i8 

5733 
573i 
573o 
5728 

5727 

5643 
5642 
564o 
5639 
5637 

5556 
5554 
5553 
555i 
555o 

5470 
5469 
5467 
5466 
5464 

5386 
5384 
5383 
5382 
538o 

53o3 
53o2 
53oo 
5299 
5298 

63o3 
63oi 
63oo 
6298 
6296 

6201 
6200 
6198 
6196 
6195 

6102 
6100 
6099 

6097 
6o95 

6oo5 
6oo3 
6001 
6000 
5998 

5909 
59o8 
59o6 
59o5 
5903 

58i6 
58i5 
58i3 
58i2 
58io 

b72b 

5724 

5722 
572I 

5719 

5636 
5635 
5633 
5632 
563o 

5549 
5547 
5546 
5544 
5543 

5463 
546  1 
546o 
5459 

5457 

6379 
5377 
53/6 
5375 
5373 

5296 
5295 
5294 

5292 
5291 

5290 
5288 
5287 

5a85 
5s84 

10 

1  1 

12 

i3 

i4 

6294 

6293 
6291 
6289 
6288 

6193 
6191 
6190 
6188 
6186 

6094 
6092 
6090 
6089 
6087 

^997 

*"l 

5993 

5992 
D99o 

5902 
5900 
58o8 
5897 
5895 

58o9 
58o7 
58o6 
58o4 
58o3 

5718 

57i6 
57i5 
57i3 

57I2 

5629 
5627 
5626 
5624 
5623 

554  1 
554o 
5538 
5537 
5536 

5456 
5454 
5453 
5452 
545o 

5372 
537o 
5369 
5368 
5366 
"5365" 
5364 
5362 
536  1 
5359 
~5358~ 
5357 
5355 
5354 
5353 

i5 
16 

*7 
18 

_L?__ 

20 
21 
22 
23 

24 

20 

21 
22 
23 
24 

6286 
6284 
6282 
6281 
6279 

62~77 
6276 
6274 
6272 

6271 

6i85 
6.83 
6181 

6179 
6178 

6o85 
6084 
6082 
6081 
6079 

5989 
5987 
5985 
5984 
5982 

5894 
5892 
589i 
5889 
5888 

1)886" 
5884 
5883 
588  1 
588o 

58oi 
58oo 
5798 
5796 
5795 

57io 
57o9 
57o7 
57o6 
57o4 

562i 
5620 
56i8 
56i7 
56i5 

5534 
5533 
553i 
553o 
5528 

5449 
5447 
5446 
5445 
5443 

5283 
5281 
5280 
5279 

52-77 

25 
26 

27 
28 
29 

3o 

3i 

32 

33 

34 

6176 
6174 
6;73 
6171 
6169 

6077 
6076 
6074 
6072 
6071 

598i 
5979 
5977 
5976 

5974 

5793 

5792 

579o 
5789 
5787 

57o3 
57oi 
57oo 
5698 
5697 

56i4 
56i3 
56n 
56io 
56o8 

5527 
5526 
5524 
5523 
552i 

5442 
544o 
5439 
5437 
5436 

52-76 

5275 
52?3 

52"'2 
527I 

25 

26 

»7 

28 
29 

6269 
6267 
6265 
6264 
6262 

6168 
6166 
61  65 
6i63 
6161 

6069 
6067 
6066 
6064 
6o63 

5973 
597i 
5969 
5968 
5966 

5878 

5877 
5875 
5874 

5872 

5786 
5784 
5783 
5-8  1 
578o 

5695 
5694 
5692 
569i 
5689 

5607 
56o5 
56o4 
56o2 
56oi 

5520 
55i8 
55i7 
55i6 

55  1  4 

5435 
5433 
5432 
543o 
5429 

535i 
535o 
5348 
5347 
5346 

5209 

5268 
52.66 
5265 
5264 

3o 
3i 

32 

33 

34 

35 
36 

37 
38 

39 

6260 
6259 
6257 
6255 
6?54 

6160 
61  58 
6i56 
6i55 
6i53 

6061 
6o59 
6o58 
6o56 
6o55 

5965 
5^3 
596i 
596o 
5958 

587o 
5869 
5867 
5866 
5864 

5778 
5777 
5775 
5774 

5772 

5688 
5686 
5685 
5683 
5682 

5599 
5598 
5596 
5595 
5594 

55i3 
55ii 
55io 
55o8 
55o7 

5428 
5426 
5425 
5423 
Szfea 

5344 
5343 
534  1 
534o 
5339 

5262 
5261 
5260 
5258 
5257 
5256' 
5254 
5253 

5252 

5u5o 

35 
36 

II 
39 

4o 
4i 

42 
43 

44 
45 
46 
47 
48 

49 

6252 
625o 
6248 
62.47 
6245 

6i5i 
6i5o 
6i48 
6i46 
6i45 

6o53 
6o5i 
6o5o 
6t>48 
6046 

5957 
5955 
5954 
5932 
5950 

5863 
586  1 
586o 
5858 
5856 

577i 

5769 
5768 
5766 
5765 

568o 
5679 
5677 
5676 
5674 

5592 

5589 
5588 
5586 

55o6 
55o4 
55o3 
55oi 
55oo 

5421 
54i9 
54i8 
54i6 
54i5 

5337 
5336 
5335 
5333 
5332 

4o 
4i 

42 

43 
44 

62.43 
62.42 
6240 
6238 
6237 

6:43 
6i4i 
6i4<> 
6i38 
6i36 

6o45 
6o43 
6042 
6o4o 
6o38 

^949 
5947 
5946 
5944 
5942 

5855 
5853 
5852 
585o 
5849 

5763 
576i 
576o 
5758 
5757 

5673 
567i 
567o 
5669 
5667 

5585 
5583 
5582 
558o 
5579 

5498 
5497 
5496 
5494 
5493 

54i4 
54i2 
54n 
54o9 
54o8 

533  1 
5329 
5328 
532-6 
5325 

5249 
5248 
5246 
5245 
5244 

45 
46 
47 
48 

49 

5o 
5i 

52 

53 
54 

6235 
6233 

6232 

62  3o 
6228 

6i35 
6i33 
6i3i 
6i3o 

6128 

6037 
6o35 
6o33 
6o32 
6o3o 

5941 
5939 
5o38 
5936 
5935 

5847 
5846 
5844 
5843 
584  1 

5755 
5754 
5752 
575i 
5749 

5666 
5664 
5663 
566  1 
566o 

5578 
5576 
5575 
5573 
5572 

5491 
5490 
5488 
5487 
5486 

54o7 
54o5 
54o4 
5402 
54oi 
~54oo~ 
5398 
5397 
5395 
5394 

5324 

5322 

532i 
5320 
53i8 

5242 
5241 
524o 
5238 
5237 

5o 
5i 

52 

53 
C4 
55 
56 
57 
58 

_.5?_ 

S. 

55 
56 

5? 
58 

_rL 

s. 

6226 
6225 
6223 
6221 

6220 

6126 
6  iv.  5 
6123 
6121 
6120 

6029 
6027 
6025 
6024 
6022 

5933 
593i 
592o 

59a8 

5927 

5839 
5838 
5836 
5835 
5833 

5748 
5746 
5745 
5/43 
5742 

5658 
5657 
5655 
5654 
5652 

55/0 
5569 
5567 
5566 
5564 

5484 
5483 
548  1 
548o 
5478 

Wi7 
53i5 
53i4 
53i3 
53ii 

5235 
5234 
5233 
523i 
523o 

0°  42' 

0°  43'|0°  44' 

0°  45' 

0°  46'iC°  47' 

0°  48'|0°  4v' 

0°  50' 

0°  51  'JO0  52/iO°  53' 

TABLE  XXII.                        [Page  137 

Proportional  Logarithms. 

8. 

h  m 
0°54' 

h  m 
0°  tt 

h  in 
0°5& 

h  m 

0°57/ 

k  m 

0°58' 

k  m 
0°  59' 

h  m 

i°<y 

h  m 
1°!' 

h  m 

1C2' 

k  m 
1°3' 

Ii  m 
1°4' 

h  m 
1°5' 

S. 

o 
i 

2 

3 

4 

5229 
5227 
5226 

5225 
5223 

5i49 
5i48 
5i46 
5i45 
5i44 

5071 
5070 
5o68 
5o67 
5o66 

4994 
4993 
499  * 
499° 
4989 

4918 
491-7 
4916 
49i5 
49i3 

4844 
4843 
4842 
484i 
4839 

477i 
4770 
4-769 
47G8 
4766 

4609 

4698 
4697 
4696 
4695 

4629 
4628 
4626 
4625 
4624 

4559 
4558 
455'7 
4556 
4555 

4491 
44QQ 
4489 
4488 
4486 

4424 

4422 

4421 
4420 
44i9 

0 

i 

2 

3 
4 

5 
6 

8 
9 

5222 
5221 
5219 

52i8 
5217 

5i43 
5i4i 
5i4o 
5i39 
5i37 

5o64 
5o63 
5o62 
5o6i 
5o59 

4988 
4986 
4985 
4984 
4983 

4912 
4911 
4910 
4908 
490-7 

4838 
4837 
4836 
4834 
4833 

4765 
4764 
4763 
4762 
476o 

4693 
4692 
469i 
469o 
4689 

46s3 
4622 
4621 
46i9 
4618 

4554 
4552 
455i 
455o 
4549 

4485 
4484 
4483 
4482 
448  1 

44i8 
44i7 
44i6 
44i5 
44i4 

5 
6 
7 
8 

_9_ 

10 

ii 

12 

i3 
i4 

10 
ii 

12 

i3 
i4 

52i5 
52i4 
52i3 
5aii 

5210 

5i36 
5i35 
5i33 
5i32 
5i3i 

5o58 
5o57 
5o55 
5o54 
5o53 

4981 
4980 
4979 

4977 
4976 

4906 
4905 
4903 
4902 
4901 

4832 
483  1 
483o 
4828 
4827 

4759 
4758 
4757 
4756 
4754 

4688 
4686 
4685 
4684 
4683 

46i7 
4616 
46i5 
46i4 
4612 

4548 
4547 
4546 
4544 
4543 

448o 
4479 
4477 
4476 
4475 

44  1  2. 
44n 
44io 
44o9 
44o8 

i5 
16 

i? 
18 

«9 

5209 
5207 

5206 

52o5 
5ao3 

5129 
5i28 
5127 
5i25 
5  1  24 

5o5i 
5o5o 
5o4Q 
5o48 
5o46 

4975 
4974 
4972 
4971 
4970 

4900 
4899 
4897 
4896 
4895 

4826 
4825 
4823 
4822 
4821 

4753 
4752 
475i 
475o 
4748 

4682 
468o 
4679 
4678 
4677 

4611 
4610 
46o9 
4608 
46o7 

4542 
454  1 
454o 
4539 
4538 

4474 
4473 
4472 
447i 
4469 

44o7 
44o6 
44o5 
44o4 
4402 

44oi 
44oo 
4399 
4398 
4397 

i5 
16 

17 
18 

_1£. 

20 
21 
22 
23 

24 

20 

21 
22 
23 
24 

5202 
5201 

5  1  99 
5198 
5197 

5i23 

5l22 
5l20 

5i  19 
5n8 

5o45 
5o44 
5o43 
5o4i 
5o4o 

49^9 
4967 
4966 
4965 
4964 

4894 
4892 
489i 
4890 
4889 

4820 
48i9 
48i7 
48i6 
48i5 

4747 
4746 
4745 
4744 
4742 

4676 
4675 
4673 
4672 
467i 

46o6 
46o4 
46o3 
4602 
4601 

4536 
4535 
4534 
4533 
4532 

4468 
4467 
4466 
4465 
4464 

25 

26 

27 
28 
29 

5i95 
5i94 
5i93 
5191 
5190 

5n6 
5n5 
5ii4 

5lI2 

5m 

5o39 
5o37 
5o36 
5o35 
5o34 

4962 
4961 
4960 

4959 
4957 

4887 
4886 
4885 
4884 
4882 

48i4 
4812 
48u 
4810 
4809 

474i 
474o 
4739 
4738 
4736 
4735 
4734 
4733 
4732 
4/3o 

467o 

4666 
4665 

46oo 
4599 
4597 
4596 
4595 

453i 
453o 
4528 

4527 
4526 

4463 
4462 
446o 
4459 
4458 

4396 
4395 
4394 
4393 
439i 

25 

26 

27 
28 
29 

3o 
3i 

32 

33 

34 

3o 
Si 

32 

33 
34 

5i89 
5187 
5i86 
5i85 
5i83 

5uo 
5io8 
5107 
5  1  06 
5io5 

5o32 
5o3i 
5o3o 
5o28 
5o27 

4956 
4955 
4954 
4952 
495  1 

488  1 
488o 
48-79 
4877 
4876 

48o8 
48o6 
48o5 
48o4 
48o3 

4664 
4663 
4662 
466o 
4659 

4594 
4593 
4592 
459o 
4589 

4525 

4J24 

4523 

4522 

4520 

4457 
4456 
4455 
4454 
4453 

439o 
4389 
4388 
4387 
4386 

35 
36 

37 
38 

39 

5i82 
5i8i 
5i79 
5178 
5i77 

5io3 

5lO2 

5ior 
5o99 
5098 

5026 
5o25 
5o23 

5022 
5021 

495o 
4949 
4947 
4946 
4945 

4875 
4874 
4873 
487i 
487o 

48oi 
48oo 
4799 
4798 
4797 

4-729 
4728 

4727 

4726 
4724 

4658 
4657 
4656 
4655 
4653 

4588 
4587 
4586 
4585 
4584 

45i9 
45i8 
45i7 
45i6 
45i5 

4452 
445o 
4449 
4448 
4447 

4446" 
4445 
4444 
4443 
444  1 

4385 
4384 
4383 
438  1 
438o 

35 

36 

37 
38 
39 

4o 
4i 

42 

43 
44  ' 

4o 
4i 

42 

43 
44 

5i75 
5  174 
5i73 
5172 
5170 

5097 
5o95 
5094 
5o93 
5092 

5019 
5oi8 
5oi7 
5oi6 
5oi4 

4943 
4942 
4941 
4940 
4938 

4869 
4868 
4866 
4865 
4864 

4795 
4794 
4793 
4-792 
479i 

4723 

4722 
472I 
4720 

47i8 

4652 
465  1 
465o 

A64q 

4648 

4582 
458  1 
458o 
4579 
45-8 

45i4 
45i2 
45n 
45io 
45o9 

4379 
4378 
4377 
4376 
4375 

45 
46 

47 

48 
49 
5o 
5i 

52 

53 

54 

5i69 
5i68 
5i66 
5i65 
5i64 

5o86 
5o85 

"5o84~ 
5o82 
5o8i 
5o8o 
5079 

5oi3 

5012 

Sou 
5009 
5oo8 

*93? 

4936 
4935 
4933 
4932 

4863 
486i 
486o 
4859 
4858 

4-789 
4788 
4787 
4786 
4785 

47i7 
47i6 
47i5 
47i4 

47I2 

4646 
4645 
4644 
4643 
4642 

4577 
4575 
4574 
4^73 
4572 

45o8 
45o7 
45o6 
45o5 
45o3 

444o 
4439 
4438 
4437 
4436 

4374 
4373 
4372 
437o 
4369 

45 
46 
47 
48 

49 
5o 
5i 

52 

53 
54 

5i62 
5i6i 
5i6o 
5i58 
5i57 

5007 
5oo5 
5oo4 
5oo3 

5OO2 

493i 
493o 
4928 
4927 
4926 

4856 
4855 
4854 
4853 
4852 

4783 
4782 
478  1 
478o 
4778 

4711 
4710 
47OQ 
47o8 
4707 

464o 
4639 
4638 
4637 
4636 

457i 
457o 
4569 
4567 
4566 

45o2 
45oi 
45oo 
4499 
4498 

4435 
4434 
4433 
443  1 
443o 

4368 
4367 
4366 
4365 
4364 

55 
56 

57 
58 

59 

S. 

5i56 
5i54 
5i53 
5i52 
5i5o 

5077 
5o76 
5o75 
5o-3 
5072 

5ooo 

4999 
4998 

4997 
4995 

0°^<7 

4925 
4923 
4922 
4921 
4920 

V°!>7' 

48  5o 
4849 
4848 
4847 
4845 

4777 
4776 
4775 
4774 

4772 

4705 
47o4 
47o3 

4702 

47oi 

4635 
4633 
4632 
463  1 
463o 

4565 
4564 
4563 
4562 
456o 

449-7 
4495 
4494 
4493 
4492 

4429 
44?8 
4427 
4426 
4425 

4363 
4362 
436  1 
4359 
4358 

55 
56 

57 
58 

59 
S. 

0°  54'  0°  55' 

0°  58'  10°  50' 

]°0' 

1°  1' 

1°2- 

1°3' 

1°4' 

i°5' 

rage  138]               TABLE  XXII. 
Proportional  Logarithms. 

S. 

h  m 

4357 

4356 
4355 
4354 
4353 

h  m 

h  m 

h  m 
1°  9' 

h  m 
1Q  10' 

h  m 
1°  11' 

h  m 
1°  12' 

h  m 

1°  13' 

h  m 
L°  14' 

h  m 

10  1  r/ 

h  m 
P16' 

h  m 

S. 

o 

i 

2 

3 
4 

4292 
4291 
4290 
4289 
4288 

4228 
422-7 
4226 
4224 

4223 

4i64 
4i63 
4162 
4i6i 
4  160 

4lO2 

4101 
4ioo 
4099 
4098 

4o39 
4o3ti 
4o37 
4o36 

^979 
3978 
397-7 
3976 
3975 

39i9 
39i9 
39i8 
39i7 
3916 

386o 
3859 
3858 
3857 
3856 

38o2 

3801 
7800 

3799 
3798 

3745 
3744 
3743 
3742 
374i 

3688 
3687 
3686 
3685 
3684 

0 

i 
a 
3 
4 
5 
6 

8 

5 
6 
7 

8 

9 

4352 
435i 
435o 
4349 
4347 

4287 
4285 
4'->84 
4283 
4282 

4222 
4221 
4220 
4219 

4218 

4i59 
4i58 
4i57 
4i56 
4i55 

409-7 
4096 

4093 

4092 

4o35 
4o34 
4o33 
4o32. 
4o3i 

3974 
3973 

3971 
3970 

3915 
39i4 
39i3 

39I2 

39i  i 

3856 
3855 
3854 
3853 
3852 

3797 

3796 

3-794 
3-793 

374o 
3739 
3738 
3737 
3736 

3683 
3682 
368  i 
368o 
3679 

10 

1  1 

12 

i3 

i4 

4346 
4345 
4344 
4343 
4342 

4281 
4280 

42-78 
4277 

42I7 

4216 

4214 

4i54 
4i53 
4i52 
4i5i 
4i5o 

4091 
fooo 
4089 
4o88 
4o87 

4o3o 
4029 
4028 
4027 

4026 

3969 
3968 
3967 
3966 
3965 

39io 

39°9 
39o8 

39o6 

385  1 
385o 
3849 
3848 
3847 

3792 
3792 
3-791 
3-790 
3789 

3735 
3734 
3733 
373a 

373i 

3678 
3677 
3677 
3676 
3675 

10 

H 

12 

i3 
i4 

ib 
19 

20 

21 
22 
23 
24 

1  5 

16 

18 

19 

434i 
434o 
433o 

4338 
4336 

4276 
4275 
4274 
4273 
4271 

4212 
4211 
4210 
4209 

4207 

4149 
4i47 
4i46 
4i45 
4i44 

4o86 
4o85 
4o84 
4o83 
4082 

4025 
4024 
4023 

4022 

4021 

3964 
3o63 
3962 
3o6r 
3960 

39o5 
39o4 
39o3 

3902 

39oi 

3846 
3845 
3844 
3843 
3842 

3788 
3787 
3786 
3785 
3784 

373o 
3729 
3728 

3727 

3727 

3674 
3673 
3672 
367i 
367o 

20 
21 
22 
23 
24 
25 

26 

27 
28 
29 

3o 
3i 

32 

33 
34 
"  35 
36 
37 
38 

39 
4o 
4i 

42 

43 
44 

4335 
4334 
4333 
4332 
433  1 

4270 
4269 
4268 
4267 
4266 

4206 
4205 
4204 

4203 
4202 

4i43 
4142 

4i4o 
4i39 
4i38 
4i37 
4i36 
4i35 
4i34 

4081 
4o8o 
40-79 
4o78 
4o77 

4020 
4oio 
4oi8 
4017 
4oi6 

3958 
3957 
3956 
3955 

3  900 
3899 
3898 
3897 
3896 

384  1 
384o 
3839 
3838 
3837 

3783 
3782 
378i 
378o 
3779 

3-726 
3725 

3723 

3722 

3667 
3666 
3665 

433o 
4329 

4327 
4326 

42.65 
4264 
4263 
4262 
4261 
^260 
4259 
4258 
4  2")  6 
42.55 

4201 
4200 

4'99 
4198 

4197 

4o76 
4o75 
4o74 
4o73 
4o72 

4oi5 
4oi4 
4oi3 
4012 
4oi  i 

3954 
3953 
3952 
395i 
3950 

3895 
3894 
3893 
3892 
389i 

3836 
3835 
3834 
3833 
3832 

3778 
3-777 
3776 
3775 
3774 

372I 
372O 

37i9 
37i8 
37i7 

3664 
3663 
3663 
3662 
366  1 

25 
2.6 
27 
28 

4325 
4323 

4322 

432i 
4320 

4196 
4190 
4194 

4192 

4i33 
4  1  32. 
4i3i 

4i3o 
4129 

4o7i 
4o7o 
4069 
4068 
4o67 

4oio 
4009 
4oo8 
4007 
4oo6 

3949 
3948 
3947 
3946 
3945 

38oo 
3889 

3887 
3886 

383  1 
383o 
3829 
3828 
3827 

3773 

3772 
377i 
377o 
3769 

3716 
37i5 
37i4 
37i3 

37I2 

366o 
3659 
3658 
3657 
3656 

3o 
3i 

32 

33 

34 

43i8 
43i7 
43i6 
43i5 

4254 
4253 
42.5a 
425i 

4191 
4i89 

4i88 
4i87 
4i86 

4128 
4127 
4126 
4  1  2.5 
4124 

4o66 
4o65 
4o64 
4o63 
4062 

4oo5 
4oo4 
4oo3 

4OO2 

4ooi 
4ooo 

3999 
3998 

3997 
3996 

3944 
3943 

394i 
3940 

3885 
3884 
3883 
3882 
388  1 

3826 
3825 
3824 
3823 

3822 

382i 
3820 
3820 
38i9 
38i8 

3768 
3768 
3767 
3-66 
3765 

37u 
37io 

37o9 

37o8 

3655 
3654 
3653 
3652 
365i 

35 
36 

38 
39 

43i4 
43i3 
43  ii 
43io 
4309 

4249 
4248 
4'M7 
4246 
4245 

4r85 
4i84 
4i83 
4182 
4i8i 

4l22 
4l2I 

4  1  20 
4119 

4118 

4061 

4<>6o 
4o59 
4o58 
4o56 

3939 
3938 
3937 
3936 
3935 

388o 
3879 
3878 
3877 
38/6 

3764 
3763 
3762 
3-6i 
376o 

37o7 
37o6 
37o5 
37o4 
37o3 

365o 
3649 
3649 
3648 
3647 

4o 
4i 

42 

43 
44 

45 
46 
47 
48 

49 
5o 
5i 

53 
54 

43o8 
43o7 
43o6 
43o5 

43o4 

4244 
4243 

42.39 

4  1  80 

4178 
4177 
4176 

4117 
4u6 

4u3 

4o55 
4o54 
4o53 

4o5i 

^995 
3993 
3992 
399i 
3990 

3934 
3933 
393a 
3o3i 
3930 

3875 
3874 
3873 
3872 
387i 

38i7 
38i6 
38i5 
38i4 
38i3 

3759 
3758 
3757 
3756 
3755 

37o? 
37oi 
37oo 

:i699 

3598 

3646 
3645 
3644 
3643 
364  2 

45 
46 
47 
48 
49 
5o 
5i 

52 

53 
54. 

43o3 

43oi 
43oc 

429-7 
4296 

4294 
4293 

42.38 

4^35 
j  4234 

4.75 

4i74 

4172 
4171 

4i  12 

4iio 

4109 
4io8 

4o5o 
4049 
4o48 
4o47 
4o46 

3987 
3986 
3985 

3929 
3928 

3926 
3925 

38-70 

3867 
3866 

38i2 
38n 

38io 
38o9 
38o8 

3754 
3753 
3752 
375i 
375o 

3697 
3fio6 
3695 
3694 
3693 

364  1 
364o 
3639 
3638 
3637 

55 
56 

57 
58 

59 
S. 

]4233 

4232 

42.3  1 
423o 

4220 

4169 
4168 
4167 
4  1  66 
4i65 

4107 
4io6 
4io5 
4104 
4io3 

1°  9' 

4o45 

4o44 
4o43 

4o4i 
JMO" 

3984 
3983 
3982 
398i 
398o 

3924 
392.3 

3922 
392I 
3920 

3865 
3864 
3863 
386?. 
386  1 

38o7 
38o6 
38o5 
38o4 
38o3 

3749 
3748 

3747 

3746 

3693 

369i 
36oo 
3689 

3636 
3635 
3635 
3634 
3633 

55 
56 

57 
58 

"h. 

1°()'  I°7' 

1°8' 

1°  11' 

1°  12 

jo  13/1o  14/ 

1  15' 

1°  16' 

1°  17' 

TABLE  XXII.                ii'ageisg 
Proportional  Logarithms. 

S. 

h  m 

3°  18' 

h  m 
1C19' 

;*  m 

i°2<y 

h  m 
1°21' 

h  m 
1°22' 

h  m 
1°  23' 

h  m 
1°24' 

h  m 
1°  25' 

h  m 
1°  26' 

k  m 
1°27' 
1758" 
3*57 
3i56 
3  1  55 
3i54 
"3i53~ 
3i53 
3  1  52 
3i5i 
3i5o 

h  m  li  m 

1°  28'  1°  2iy 

S. 

o 
i 

2 

d 
4 
5 
6 

8 
_.9. 

10 

n 

T2 

i3 

i4 

0 
2 

3 

4 
5 
6 

7 
8 

9 

363a 
363  1 
363o 
3620 
8628 

3576 
3576 
3575 
3574 
3573 

3522 

352i 
3520 
35i9 
35i8 

3468 
3467 
3466 
3465 
3464 

34i5 
34U 
34i3 
3412 
34n 

3362 
336  1 
336o 
3359 
3358 

33io 
33o9 
33o8 
33o7 
33o6 

3259 
3a58 
3257 
3256 
3255 

3208 
3207 
3206 
32o5 
3204 

3io8 
3107 
3io6 
3io5 
3io5 

3io4~ 
3  1  63 

3  1  02 

3ioi 
3ioi 

3o59 
3o58 
3o57 
3o56 
3o56 

3627 
3626 
3625 
3624 
3623 

3572 
357i 
357o 
3569 
3568 

35i7 
35i6 
35i5 
35i5 
35i4 

3463 
3463 
3462 
346i 
346o 

34io 
34o9 
3438 
34o8 
34o7 

3358 
3357 
3356 
3355 
3354 

33o6 
33o5 
33o4 
33o3 
33o2 

3254 
3253 
32.53 

3252 

325i 

3204 
32o3 

3202 
3201 
3200 

3o55 
3o54 
3o53 
3o52 
3o52 

1   10 

n 

12 

i3 
i4 

3623 

3622 

3621 
3620 
36i9 

3567 
3566 
3565 
3565 
3564 

35i3 
35i2 
35ii 
35io 
35o9 

3459 
3458 
3457 
3456 
3455 

34o6 
34o5 
34o4 
34o3 
3402 

3353 
3352 
335i 
335  1 

335o 

33oi 
33oo 
33oo 

32  99 
3298 

325o 
3249 
3248 

3247 
3247 

3  199 
3  198 
3i98 
3i97 
3i96 

3.49 
3i4B 
3r48 
3i47 
3i46 

3ioo 
3o99 
3o98 
3o97 
3o96 

3o5i 

3o5o 
3o49 
3o48 
3o47 

i5 

16 

i? 
18 

'9 

36i8 
3617 
36  1  6 
36  1  5 
36i4 

3563 
3562 
356i 
356o 
3559 

35o8 
35o7 
35o6 
35o6 

35o5 

3454 
3454 
3453 
3452 
345  1 

34oi 
34oo 
34oo 
3399 
3398 

3349 
3348 
3347 
3346 
3345 

3297 
3296 
3295 
3294 
3294 

0246 
3245 
3244 
3243 
3242 

3i95 
3i94 
3i93 
3i93 

3l92 

3i45 
3i44 
3i43 
3i43 
3i42 

3o96 
3o95 
3o94 
3c>93 
3o92 

3o47 
3o46 
3o45 

3o44 
3o43 

i5 

16 

17 
18 

]9 

20 
21 
22 
23 
24 

36  1  3 
36i2 
36n 
36  10 
36io 

3558 
3557 
3556 
3555 
3555 

35o4 
35o3 
3502 
35oi 
35oo 

345o 

3449 
3448 
3447 
3446 

3397 
3396 
3395 
3394 
3393 

3345 
3344 
3343 
3342 
334i 

3293 

3292 
329I 
3290 

3289 

3242 
3241 
3  240 
3239 
3238 

3i9i 
3i9o 
3iSa 

3i88 
3i88 

3i4i 
3i4o 
3i39 
3:38 
3i38 
3i37 
3i36 
3i35 
3i34 
3i33 

3o9i 
3o9i 
3o9o 
3o89 
3o88 

3o43 
3042 
3o4i 
3o4o 
3o39 

20 
21 
22 
23 

24 

25 
26 

»7 

29 

36oo 
36o8 

3607 
36o6 
36i,5 

3554 
3553 
3552 
355i 
355o 

3499 
3498 

3497 
3497 
34o6 

3446 
3445 
3444 
3443 
3442 

3393 
3392 
339i 
339o 
3389 

334o 
3339 
3338 
3338 
333-7 

3288 
3288 

3387 

3286 

32.85 

3237 
3236 
3236 
3235 
3234 

3i87 
3i86 
3i85 
3.84 
3i83 

3087 
3o87 
3c86 

3o85 
3o84 

3o39 
3o38 
3o37 
3o36 
3o35 

2.5 

26 

27 
28 

29 

3o 
3i 

32 

33 
34 

3o 
3  1 

32 

33 

34 

36o4 
36o3 
36o2 
36or 
36oo 

3549 
3548 
3547 
3546 
3545 

3495 
3494 
3493 
3492 
349i 

344  1 
344o 
3439 
3438 
3438 

3388 
3387 
3386 
3386 

3385 

3336 
3335 
3334 
3333 
3332 

3284 
3283 
3282 
3282 
3281 

3233 

3232 

323i 
323i 
323o 

3i83 
3i82 
3i8i 
3i8o 
3  1  79 

3i33 
3i32 
3i3i 
3i3o 

3l29 

3o83 
3o8a 

3o82 
3o8i 
3o8o 

3o34 
3o34 
3o33 
3o32 
3o3i 

35 

36 

37 
38 

39 

3599 
3598 
3598 
3597 
3596 

3545 
3544 
3543 

3542 
354i 

3490 
3489 
3488 
3488" 
3487 

3437 
3436 
3435 
3434 
3433 

3384 
3383 
3382 
338. 
338o 

3332 
333i 
333o 
3329 
3328 

3280 

3279 

3278 

3277 

3276 

3229 

3228 

3227 

8226 

3225 

3i78 
3  1  78 
3i77 
3i76 
3i75 

3  1  29 

3i28 

3l27 

3i26 
3i25 

1724 
3ia4 
3i23 

3l22 
3l2I 

3o79 
3o78 
3o78 
3o77 
3o76 
lo^S 
3o-4 
3o73 
3o73 

3o72 

3o3o 
3o3o 
3o29 
3028 

3027 

Iol6~ 
3o26 
3o2.5 
3024 
3o23 

35 
36 

37 
38 
39 

4o 
4i 

42 

43 

44 

3595 
3594 
3593 
3592 
3591 
3590 
3589 
3588 
3587 
3587 

"3586" 

3585 
3584 
3583 
3582 

354o 
3539 
3538 
3537 
3536 

3486 
3485 
3484 
3483 
3482 

3432 
343  1 
343  1 
343o 
34  29 

3379 
3379 
3378 
3377 
3376 

3327 
33  ?6 
3325 
3325 
3324 

3276 
3275 
3274 
3273 
3272 

322.5 
32.24 
322.3 
3222 
3221 

3  1  74 
3i73 
3i73 
3172 
3i7i 

4o 

4i 

42 

43 
M 
45 
46 
47 
48 

49 

45 
46 
47 
48 
49 

3535 
3535 
3534 
3533 
3532 

348i 
348o 
348o 
34~9 
3478 

3428 

3427 

3426 
3425 
3424 

3375 
3374 
3373 
3372 
3372 

332.3 

3322 

332i 
3320 
33r9 

327I 
3270 
3270 

3269 
3268 

3220 
3220 
32I9 

32  1  8 
32i7 

3i7o 
3i69 
3  1  68 
3i68 
3i67 

3  1  20 
3i  i9 
3i  i9 
3n8 
3.i7 

3u6 
3n5 

3n4 
3n4 
3ii3 

3o7i 
3o7o 
3o6o 

3o69 
3o68 

3(»22 
3022 

3O2  I 

3020 

3o  1  9 

5o 
5i 

52 

53 
J* 

353i 
353o 
3529 
3528 
35s7 

3477 
3476 
3475 
3474 
3473 

342.3 
3423 
3422 
3421 
34ao 

337I 
337o 
3369 
3368 
3367 

33i9 
33i8 
33  17 
33i6 
33i5 

3267 
3266 
3265 
3265 
3264 
"3163" 
3262 
3261 
3260 
3s59 

3216 
32  1  5 
32i4 
32i4 
32  1  3 

3i66 
3i65. 
3  1  64 
3  1  63 
3.63 

3o67 
3o66 
3o65 
3o65 
3o64 

3oi8 
3oi8 
3o,7 
3oi6 
3oi5 

5o 
5i 
<;., 

53 

54 

55 

56 

57 
58 

r>9 

S. 

358  1 
358o 

3579 
3578 

3577 

3526 
3525 
3525 
3  5  24 
35a3 

3472 
34-i 
347i 
347o 
3469 

34  1  9 
34i8 
34  1  7 
34  1  6 
34i5 

3366 
3365 
3365 
3364 
3363 

33  r  4 
33i3 
33i3 
33i2 
33u 

3212 
3211 
3210 
32.09 
32U9 

3  1  62 
3i6i 

3i6o 
3.59 

3i58 

3lI2 

3ni 
3i  10 
3i  10 
3io9 

3o63 

3o62 
3o6i 
3o6o 
3ooo 

3oi4 
3oi4' 
3oi3 

3012 

3oii 

5r. 
So 
5? 
58 
59 

1°  IR'  i°  I})' 

1°20' 

i°21'  1°  22' 

r  '3 

i°24' 

1°  25'  1°  26'  1°  27'  !r  28'!  1°  29' 

S. 

Page  14°1                TABLE  XXII. 
Proportional  Logarithms. 

S. 

h  m 

1°30 

h  m 
1°  31' 

h  m 
1°  32' 

h  m  k  m 
1°  33':  1°  34' 

h  m 
1°  35' 

h  m 
1°36' 

h  m 
1°37' 

h  in  k  m 
1°  38'  J°  39' 

li  m 

1°40' 

h  m 
1°  41 

S. 

o 

i 

2 

3 

4 

o 
i 

2 

3 
4 

3oio 
3009 
3  009 
3oo8 
3007 

2962 
2962 
2961 
2960 
2959 

2915 
2914 
2913 
2912 
2912 

2868 
2867 
2866 
2866 

2865 

2821 
2821 
2820 
2819 
28(8 

2775 
2775 
2774 
2773 
2772 

273o 
2729 
2-729 

2728 

2727 

2685 
2684 
2684 
2683 
2682 

2640 
2640 
263  o 
2638 
2638 

2596 
2596 
2595 
2594 
2593 

2553 

2552 

255i 
255i 
255o 

7549 

2548 
2.548 
2547 
2546 

25lO 

2509 
25o8 

2507 

25o7 

5 
6 
7 
8 

9 

3oo6 
3oo5 
3oo5 
3oo4 
3oo3 

2958 
2958 

2957 
2956 
2955 

2911 

2910 
2909 
2909 
2908 

2864 
2863 
2862 
2862 
2861 

2818 
2817 
2816 
2815 
2815 

2772 
2771 
2770 
2769 
2769 

2  726 
2725 
2725 
?.72.4 
272.3 

2681 
2681 
2680 
2679 
2678 

2637 
2636 
2635 
2635 
2634 

2593 
2692 

2591 
2591 

2500 

25o6 
25o5 
25o4 
25o4 
25o3 

5 
6 

8 
9 

10 
ii 

12 

i3 

i4 

3002 

3ooi 

3  oo  i 
3ooo 
2999 

2954 
2954 
2953 
2952 
2951 

2907 
2906 
2905 
2905 
2904 

2860 
2859 
2859 
2858 
2857 

2814 
2813 
2812 
2811 
2811 

2768 
2767 
2766 
2766 
2765 

2722 
2722 
2721 
272O 
2719 

2678 

2677 

26-6 
2675 

26-7  5 

2633 

2632 
2632 

263  1 
263o 

2589 

2.588 
2588 
2587 
2586 

2545 
2.545 
2544 
2543 
2543 

"254-T 
2541 
2540 
2640 
2539 

2502 
2502 
2501 
2500 
2499 

10 

11 

12 

i3 

i4 

i5 

16 

17 
18 

19 

2998 
2997 
2997 
2996 
2995 

2950 
2950 
2949 
2948 
2947 

2903 
2902 
2901 
2901 
2900 

2856 
2855 
2855 
2854 
2.853 

2810 
2809 
2808 
2808 
2807 

2764 
2763 
2763 
2762 
2761 

2719 
27l8 
27I7 
27l6 
27l6 

2674 
2673 
26-72 
2672 
2671 

2629 
2629 
2628 
2627 
2626 

2585 
2.585 
2584 
2583 
2583 

2499 
2498 
2497 
2497 
2496 

16 

16 
17 
18 
19 

20 

21 
22 
23 
24 

29V4 
?y93 
2993 

2992 
2.991 

2946 
2946 
2945 
2944 
2943 

2899 
2898 
2898 
2897 
2896 

2852 
2852 

285  1 
285o 

2849 

2806 
2.8o5 
2.8o5 
2804 
28o3 

2760 
2760 

275o 

2758 

2757 

27l5 
27l4 
27l3 
27l3 
27I2 

26-70 
2669 
2669 
2668 
266-7 

2.626 
2.625 
2624 
262.4 
2623 

2582 

2  58  1 
258o 
258o 
2579 

2538 
2538 
2537 
2536 
2535 

2495 
2494 
2494 

2493 
2492 

20 
21 
22 
23 

24 

25 

26 

2  7 

28 
29 

3o 
3i 

32 

33 
34 

2990 
2989 
2989 
2988 
2987 

2942 
2942 
2941 
2940 
29.39 

2.895 
2894 
2894 
2893 
2892 

789T 
2891 
2890 
2,889 
2888 

2848 
2848 
2847 
2846 
2845 

2802 
2801 
2801 
2800 
2799 

2756 
2756 
2755 
2754 
2753 

2711 
27IO 

27IO 
2709 
27C>8 

2666 
2666 
2665 
2664 
2663 

2622 
2621 
2621 
2,6?C 

2619 
~26l8~ 
2618 
2617 
2616 
2.6  1  5 

2578 

2577 

2577 

2576 

;575 

2574~ 
2574 
2573 
2672 

2572 

2535 
2534 
2533 
2533 

2532 

*253f 
2.53o 
253o 
252.9 
2528 

2492 
2491 
2490 
^489 
2489 

2488 
2487 
2487 
2486 
2485 

25 

26 

27 

^8 
29 
3o 
3i 

32 

33 
34 

2986 

2  08  5 

2985 
2984 
298  3 

2939 
2938 
293-7 
29.% 
2935 

2845 
2.844 
2843 
2842 
2842 

2798 
2798 

2797 
2796 

2795 
2795 
2794 
2793 
2792 
2792 

2753 

2752 
275l 

275o 

275C 

2707 
2707 
2706 
2705 
27o4 

2663 
2662 
2661 
2660 
2660 

35 
36 
37 
38 
39 

4o 
4i 

42 
43 
44 
45 
46 
47 
48 
49 

2982 
2981 
298, 
2980 
2979 

2.935 
2934 

2933 
2932 
293i 

2887 
2.887 
2886 
2885 
2884 

2841 
2840 
2839 
2838 
2838 

2749 
2748 

2747 
2747 

2746 

2-704 
27o3 

2702 
27OI 
27OI 

2659 
2658 
2657 
2657 
2.656 

261  5 
2614 
26i3 
2612 
2612 

257I 
2570 

2569 
2569 
2568 

2527 
2  5  27 
2526 
2525 
2.52.5 

2485 
2484 
2483 
2482 
2482 

35 
36 

3? 

38 
39 

4o 
4i 
42 
43 
44 

2978 

3977 
2977 
2976 
2975 

2931 
2930 

2929 
2928 
2927 

2883 
2.883 
2882 
2881 
2880 

2837 
2836 
2.835 
2835 
2834 

2791 

2790 
2789 
2788 
2788 

2745 
2744 
2744 
2743 
2742 

2700 

2.698 
2697 

2655 
2655 
2654 
2653 

2.652 

2611 
2610 
2.610 
2609 
2608 

*567 

2566 
2.566 
2565 
2564 

2.524 

2523 

2522 
2522 
2.021 

2520 
2520 

2519 
25ib 
25_i7 

2.481 
2480 
2480 

2479 
2478 

2.477 
2477 
2476 
24"5 
2475 

2974 
2973 
2973 
2972 
297t 
2970 
2969 
2969 
2968 
2967 

2927 
2926 

292.5 
2924 
2924 

2880 
9879 
2878 

'877 
2876 

2833 

2832 

283  1 
283i 
283o 

2787 
2786 
2785 
2785 
2784 

274l 

2741 
2740 

2739 

2738 

2696 
2.695 
2695 
2694 
2693 

2652 

265  1 
265o 
2649 
2.649 

260-7 
260-7 
2606 
2.6o5 
2.604 

2564 
2563 

2562 

256i 
2  56  1 

45 
46 
47 
48 
49 

5o 
5i 

52 

53 

54 

292.3 
2922 
2921 
2920 
2920 

2876 
2875 
2874 
2873 
2873 

2829 
2828 
2828 
2827 
2.826 

2783 
2782 
2782 
2781 
2780 

2738 

2737 

2736 
2735 
2735 

2692 
2692 
2691 
2690 
2689 

2648 

2647 
2646 
2.646 
2645 

2604 
26o3 
2602 
260  r 
2601 

256o 
2559 
2559 

2558 
2557 

2bl7 

25io 
25.5 
25  1  5 
25  1  4 

2474 
2473 

2,472 
2472 
247I 

5o 
Gi 
5a 
53 
54 

55 
56 

57 

58 
59 
S. 

2966 
2965 
2965 
2964 
2963 

2919 

2918 
2917 
2916 

2916 

2872 
2871 
2870 
2869 
2869 

2825 
2825 
2824 
2823 
2822 

2779 
2779 
2778 

2777 
2.776 

2734 
2733 

2732 
2732 
273l 

2689 
2688 
2.687 
2687 
2686 

2.644 
2643 
9643 
2642 
2641 

2600 
2599 
2599 
2598 
2597 

2556 
2556 
2555 
2554 
2553 

25  1  3 

25l2 
2.5  I  2 
25lJ 

a5io 

2470 
3470 
2469 

2468 
2467 

55 
56 
57 
58 
59 

1°  30' 

i°3r 

1°  39 

1°  33' 

1°34' 

1°  35' 

1°  36' 

1°  37' 

]°38' 

°39'|l040'i]°4r 

S. 

TABLE  XXII.                U*fc-i« 
Proportional  Logarithms. 

S. 

h  m 
1°42 

k  m  \  h  m 
1°  43'!l°  44 

h  m 
1°45 

1°46^ 

1°47 

1°48 

1°49 

1°50' 

h  in 
1°51 

h  m 
1°52 

2061 
2060 
2059 
2059 
2o58 

h  m 
1°53 

s, 

o 

2 

3 
4 
5 
6 

7 
8 

9 

0 

i 

2 

3 
4 

2467 
2466 
2465 
2465 
2464 

2424 
2424 

2423 

2422 
2422 

2382 
2382 

1  238i 
238o 
238o 

234  1 
234o 
2339 
2339 

2338 

2300 

2299 

2298 
2298 
229-7 

2259 

2258 
2258 
2257 
2256 

2218 
2218 
2217 
2216 
2216 

2I78 
2I78 

2177 
2176 
2176 

2l39 

2i38 

2l37 
2l37 

2136 

2099 
2099 
2098 
2098 

2097 

2022 
2021 
2O2I 
2020 

2019 

5 
6 

8 
9 

2463 
2462 
2462 
2461 
2460 

2421 

2420 

2419 
9.419 
2418 

2379 
2378 
2378 
2-377 
2376 

2337 
2337 
2336 
2335 
2335 

2296 
2296 
2295 
2294 
2294 

2256 
2255 
2254 
2253 
2253 

22l5 
22l4 
22l4 
2213 
2212 

2I75 

2174 
2174 

2I73 

2172 

2i36 
2i35 
2i34 
2  1  34 
2i33 

2096 
2096 
2095 
2094 
2094 

2057 
2057 

2o56 
2o55 
ao55 

2019 
2018 

2017 

2017 
2016 

10 

ii 

12 

i3 
i4 

2460 
2459 
2458 
2458 
2457 

3417 
2417 
2416 

24i5 

24r5 

2375 
2375 
2374 
2373 
2373 

2334 
2.333 
2333 

2332 

233i 

2293 
2292 
2291 
2291 

2290 

2252 
225l 
225l 
2250 

2249 

2212 
2211 
2210 
2210 
5209 

2172 

2I7I 
2I70 
2I70 
2169 

2l32 
2132 
2l3l 

2i3o 
2i3o 

2093 
2092 
2092 
2091 
2090 

2054 
2o53 
2o53 

2O52 
2052 

2016 

201  5 

aot'4 

2014 

20l3 

10 

ii 

12 

i3 
i4 

i5 

16 

[? 

18 

'9 

2456 
2455 
2455 
2454 
2453 

2414 
24i3 

24  1  2 
24l2 
24ll 

2372 
2371 

237I 

2370 
2.369 

233i 
233o 
2329 
2328 
2328 

2289 
2289 
2288 

2287 
2287 

2249 

2248 

2247 
2247 
2246 

23C8 
2208 
2207 
2206 
2206 

2169 
2l68 
2l67 
2l67 

2166 

2129 
2128 

2128 

2127 

2126 

2090 
9.089 
2088 
2088 
2087 

2o5l 

2o5o 
2o5o 
2049 
2o48 

2012 
2012 
201  I 
2010 
2010 

i5 

16 

17 
18 

r9 

20 
21 
22 
23 
24 

2453 

2452 

245i 
245c 
245o 

24lO 

2410 

2409 

2408 
2408 

2368 
2368 
2367 
2366 
2366 

2327 

2326 

2326 

2325 
2324 

2286 
2285 
2285 

2284 

2.283 
2^8T 

2282 
2281 
2281 
2280 

2245 
2245 

29.44 

2243 

2243 

2205 
2204 
2204 
2203 
2202 

2i65 
2i65 
2164 
2i63 
2i63 

21  26 

2125 

2124 
2124 

2123 

2086 
2086 
2o85 
2o85 
2084 

2048 
2047 
2046 
2046 

2045 

2009 
2009 
2008 

2OO7 
2OO7 

20 
21 
22 
23 
24 
25 

26 

27 
28 
29 

3o 

3i 

32 

33 
34 

25 
26 

2? 
28 
29 

2449 
2448 
2448 
2447 
2446 

2407 
2406 
24o5 
24o5 
2404 

2365 
2364 
2364 
2363 

2362 

239.4 
2323 
2322 
2322 
2321 

2242 

224l 
2  24  1 
2940 
2239 

2202 
2201 
2200 
2200 
2199 

2162 
2161 
2161 
2160 

2  I  59 

2J9.2 
2122 
2121 
2120 
2120 
21  19 
21(8 

2118 

21  17 

2116 

2o83 
208  3 
2089 
2081 
2081 

2044 
9044 

2043 

2042 
20-49. 

2006 

2OO5 
20O5 

9004 

2OO3 

3o 
3i 

32 

33 
34 

2445 
2445 
2444 
2443 
2443 

2403 
24o3 
2402 
2401 
2401 

2362 

236i 
236o 
2359 
2359 

2320 
2320 

2319 
23i8 

23l7 
23l7 

23i6 
23i5 
23i5 
23r4 

2279 
2279 
2278 

2277 

2277 

2239 
2238 
2237 
2237 
2236 

2198 
2198 

2'97 
2196 
2196 

2  I  59 

2  1  58 

2l57 

2I57 
2i56 

2080 
2079 
2079 
2078 

2077 

2041 
2041 
2040 
9.039 
2039 

2CK)3 
2002 
2001 
2001 
2OOO 

35 
36 

3? 
38 
39 

2442 
244  1 
2441 
2440 
2439 

2400 
2399 

2398 
2398 

2397 

2358 
2357 
2357 
2356 
2355 

2276 

2275 

2274 

22"?4 
2273 

2235 
2235 
2234 
2233 
2233 

2195 
2194 
2194 
2I93 
2192 
2192 
2191 
2  I  90 
2190 
2189 

21  55 
2  1  55 
2i54 
2  1  53 
2  1  53 

21  l6 

21  r5 

2.1  J  5 

2114 

21  I  3 

20-7? 
2076 
2O75 
2075 
2074 

2o38 

2()37 
2C)37 

2o36 
2o35 

2OOO 

!  998 

'997 

35 
36 

37 
38 
39 

4o 
4i 

42 

43 
44 

4o 
4i 

42 
43 
44 

2438 
2438 
2437 
2436 
2436 

2396 
2396 
2395 
2.3?4 
23v;4 

a  355 

2354 
2353 
2353 

2352 

23i3 
23i3 

23l2 
23ll 
23ll 

2272 
2272 
227I 
2270 
2270 

2232 
223l 
223l 
2230 
2229 

11  59 
2l5l 
2l5l 
2l5o 

2149 

21  I  3 
21  12 
2111 
21  I  I 
21  10 

9(>73 
2073 
2072 
2O72 
2071 

2o35 
9o34 
2o33 
2o33 

2032 

1996 

1996 
i995 
1994 

1994 

45 

46 
4? 
48 

49 

2435 
2434 
2433 
2433 

2432 

2393 
2392 
2391 
2391 
2390 

235  1 
235o 
235o 
2349 
2348 

23lO 

2309 

9.30Q 

23o8 

2307 

2269 
2968 
2268 
2267 
2266 

2229 
2228 
2227 
2227 
2226 

2)88 
2188 
2l87 
2186 
2186 

2149 
2  1  48 

2l47 
21  47 

2146 

2109 
2109 
2108 
2I07 
2107 

2070 
2O7O 
2069 
2()68 

2068 

^o3a 

2o3l 

2o3o 
2o3o 
2029 

i993 
t993 
1992 
1991 
1991 

45 
46 
47 
48 
49 

5o 
5i 

52 

53 
54 

243  1 
243i 
2.43o 
2429 
2429 

2389 
2389 

2388 
2387 
2387 

9.348 
2347 
9.346 
2346 
2345 

23o7 

23o6 
23o5 
23o4 
23o4 
l3oT 
a3o2 

2302 
2301 
2300 

2266 
2265 
2264 
2264 
2263 

2225 
2225 
2224 
2223 
2223 

2  1  85 
2184 
2  1  84 
2i83 
2:82 

2)45 
2145 
2144 
2i43 
2i43 

2106 

2io5 

2105 
2104 
2103 

9.067 
2066 
0066 

?o65 
2064 

2028 

209.8 

2027 

202.6 

2026 

1989 
1988 

198-7 

5o 
5i 

52 

53 
54 
15" 
56 

57 
58 

_§L 

s. 

55 

56 
5? 
58 
59 

2428 
2427 
2426 
2426 
2425 

2386 
2385 
2384 
2384 
2383 

2344 
2344 
2343 
2.342 
2342 

2262 
2262 
226l 
2260 
226O 

2292 
2221 
2220 
222O 
2219 

2:82 
2181 
2180 
2180 
2179 

2t42 

2141 
2141 
2140 

2l39/ 

2  1C>3 
21C2 
2101 
2101 
2100 

20f>4 

9.o63 

2oC>2 
2062 
2061 

2025 
2025 

2024 

2023 
2O23 

,987 
,986 
1986 
1985 
1984 

S. 

1=42' 

1°  43'|1°  44' 

1°  45' 

]°46'|1°47' 

J°  -J8''jr  49' 

r  so' 

1°  51' 

1°  52' 

1°  53' 

Page  142] 

TABLE  XXII. 

Proportional  Logarithms. 

S. 

h  m 
1°54' 

k  m 
1°55' 

h  m 
1°56' 

h  m 
1°57' 

k  in 

1°58' 

k  m 
1°59' 

h  m 

2°  0' 

h  m 
2°  1' 

k  m 

2°  2' 

T689 
1689 
1688 
1687 
1687 

k  m 
2°  3' 

h  m 

2°  4' 

S. 

0 

i 

2 

3 
4 

0 

I 

2 

3 

4 
5 
6 

8 
9 

1984 
i983 
1982 
1982 
1981 

1946 
1945 
1944 
1944 
1943 

1908 
1908 
1907 
1906 
1906 

1871 
1870 
1870 
1869 
1868 

1  834 
r833 
i833 
i832 
i83i 

1797 
1797 
1796 
1795 
1795 

1761 
1760 
1760 
i759 
i759 

1725 
1724 
1724 
1723 
1722 

i654 
i653 
1  652 
1  652 
i65i 

1619 
1618 
1617 
1617 
1616 

1981 
1980 
1979 
1979 
1978 

1943 
1942 
1941 
i94i 
1940 

1905 
1904 
1904 
1903 
1903 

1868 
1867 
1867 
1866 
1  865 

i83i 
i83o 
i83o 
1829 
1828 

1794 
1794 
1793 
1792 
1792 

1758 

I757 
i757 
i756 
i755 

1722 
1721 
1721 
1720 
1719 

1686 
1686 
1  685 
1684 
1684 
"T683~ 
1  683 
1682 
1681 
1681 

i65i 
i65o 
i65o 
1649 
1  648 

1616 
i6i5 
1614 
ioi4 
i6i3 

5 

6 

8 
9 

10 

ii 

12 

i3 
i4 
1  5" 
16 

17 
18 

19 
20 

21 
22 
23 

24 

IO 

1  1 

I  2 

i3 
14 
i5 
16 
17 
18 

19 

20 
21 
22 
23 
24 

1977 
1977 
1976 
1975 
1975 

i939 
1939 
1938 
i938 
1937 

1902 
1901 
1901 
1900 
1899 

1  865 
1  864 
1  863 
1  863 
1862 

1828 
1827 
182-7 
1826 
1825 

1791 
1791' 
1790 
1789 
1789 

i755 
i754 
i754 
i753 

I752 

1719 
1718 
1718 
1717 
1717 
1716 
I7i5 
I7i5 
i7i4 
i7i4 

T-rlT 
1712 
1712 
1711 
1711 

1648 
1  647 
1647 
1  646 
i645 

i6i3 
1612 
1612 
1611 
1610 

1974 
1974 
1973 
1972 
1972 

1936 
i936 
r935 
1934 
1934 

!898 
1897 
1896 

1862 
1861 
1860 

1860 
i859 

1825 
1824 
1823 
1823 
1822 

1788 
1788 
1787 
1786 
1786 

1-752 

i75i 
i75i 
i75o 
1749 

1680 
1680 
1679 
1678 
1678 

i645 
1  644 
1  644 
i643 
i643 

1610 
1609 
1609 
1608 
1607 

1971 
1970 
1970 

jo68 

1933 
i933 
1932 
1931 
1931 

1896 
i895 
1894 
1894 
i893 

1859 
1  858 
1857 
i857 
1  856 

1822 
1821 
1820 
1820 
1819 

1785 
1785 
1784 
1783 
1783 

1749 
1  748 
1748 
1747 
1746 

1677 
1677 
1676 
1676 
i675 

1642 
i64i 
i64i 
i64o 
i64o 

1607 
1606 
1606 
i6o5 
i6o5 

25 
26 

27 
28 
29 

1968 
1967 
1967 
1966 
1965 
~<fi5~ 
1964 
1963 
1963 
1962 

19-30 
1929 
1929 
1928 
1928 

i893 
1892 
1891 
1891 
1890 

i855 
i855 
1  854 
1  854 
i853 

1819 
1818 
1817 
1817 
1816 

1782 
1781 
1781 
1780 
1780 

1  746 
1745 
1745 
i744 
1743 

1710 
1709 
1709 
1708 
1708 

1674 
1674 
i673 
1673 
1672 

1639 
1  638 
1  638 
i637 
i637 

1604 
i6o3 
i6o3 
1602 
1602 

2  = 
26 
27 
28 
29 

3o 
3i 

32 

33 
34 
"35 
36 

37 
38 
39 
4o 
4i 
4> 
45 
44 

1927 
1926 
1926 
1925 

1  924 

1889 
1889 
1888 
1888 
1887 

i852 
i852 
i85i 
i85o 
i85o 

1816 
i8i5 
1814 
1814 
i8i3 

1779 
1778 
1778 

1777 
1777 

1743 
1742 
1742 
i74i 
'  1740 

1707 
1706 
1706 
I7o5 

1705 

1671 
1671 
1670 
1670 
1669 

1  636 
1  635 
1  635 
1  634 
1  634 

1601 
1600 
1600 
i599 
1  599 

3o 
3i 

32 

33 

34 

1962 
,961 

1960 
1960 
1959 

1924 
1923 
192.3 
1922 
1921 

1921 
1920 
191  j) 

1919 
1918 

1886 
1886 
1  885 
1  884 
1  884 

1849 
1849 
1848 
1  847 
1847 

1812 
1812 
1811 
1811 
1810 

1776 
1775 
1775 
1774 
1774 

i?4o 
i739 
1739 
i738 
1737 

17^4 
I7o3 
I7o3 
1702 
1702 

1668 
1668 
1667 
1667 
1666 

1  633 
1  633 
i632 
i63i 
i63i 

i598 
i598 
1597 
i596 
1596 

35 
36 
37 
38 
39 
4o 
4i 

42 

43 

44 

1958 
i958 
1957 
1936 
i956 

1  883 
1883 
1882 
1881 
1881 

1846 
1646 

i845 
1  844 
1844 

1809 
1809 
1808 
1808 
1807 

i773 
1772 
1772 
1771 
1771 

i737 
i736 
i736 
i735 

i734 

1701 
1700 
1700 
1699 
1699 

1  665 
1  665 
1  664 
1  664 
1  663 

i63o 
i63o 
1629 
1628 
1628 

i595 
i595 
i594 
i593 
i593 

45 
46 

47 

48 
49 
5o 

5i 

52 

53 
54 
~55~ 
56 

5? 
58 
59 

S. 

1955 
K;55 
1954 
1953 
i953 

1918 
1917 
1916 
1916 
19/5 

1914 
1914 
1913 
1913 
1912 

1880 
1880 
1879 

1878 
1878 

1  843 
i843 
1842 
i84i 
i84i 

1806 
1806 
i8o5 
i8o5 
1804 

1770 
1769 
1769 
1766 
1768 
1767 
1766 
1766 
i765 
1765 

i-34 
x733 
1733 

I732 

i73i 

1698 
1697 
1697 
1696 
1696 

1  663 
1662 
1661 
1661 
1660 

1627 
1627 
1626 
1626 
1625 

1592 
1592 
i59i 
i59i 
1590 

45 
46 
47 
48 
49 
5o 
5i 

52 

53 
54 

1952 
1951 
1951 
1950 
1  9  jo 

1877 
1876 
1876 
:875 
i875 

1840 
1839 
1839 
1  838 
1  838 

i8o3 
i8o3 
1802 
1802 
1801 

i73i 
1730 
i73o 
1729 

1728 

1695 
1694 
1694 
:693 
r693 

1660 
i659 
1  658 
i658 
1657 

16,24 
1624  i 
1623 
1623 
1622 

1  589 
i589 
1588 
1  588 
i587 

1949 
1948 
1948 
1947 
1946 

191  1 
1911 
1910 
1909 
1909 

1874 
i8y3 
1873 
1872 
1871 

1837 
1  836 
1  836 
i835 
i835 

%  1800 
'  1800 
1799 
1798 
1798 

1764 
i763 
1763 
1762 
1762 

1728 

1727 
1727 
1726 
1725 

1692 
1692 
1691 
1690 
1690 

i657 
1  656 
1  655 
1  655 
1  654 

1621 
1621 
1620 
1620 
1619 

1  587 
1  586 
1  585 
1  585 
1  584 

55 
56 

57 
58 
59 

1°54' 

F55' 

1°  56' 

1°  57' 

1°  58' 

1°59' 

2°  0' 

•2°  1 

•2°  2' 

2°  3' 

2°  4'. 

S. 

TABLE  XXII.                IT-*  l« 
Proportional  Logarithms. 

S. 

0 

i 

2 

3 

4 

h  m 

2°  y 

h  m 

2°  & 

h  m 

2°  ? 

h  m 

2°  8' 

h  m 
2°  ^ 

h  m 

2°  10' 

h  m 
2°  11' 

h  m 
2°  12 

h  m 
2°  I?/ 

k  m 
2°  14' 

k  m 

2°15r 

S. 

1  584 
1  583 
1  582 
1682 
ib»i 

1  549 
1  548 
1  548 
i547 
i547 

i5i5 
i5i4 
i5i4 
i5i3 

l5l2 

1481 
i48o 
1  479 
i479 

1478 

i447 
1  446 
i446 

)445 
i445 

i4i3 

i4i3 
14:2 
1412 
Mti 

i38o 
i379 
1.370 

t3^8 
1378 

i347 
i346 
1  346 
1  345 

1  345 

i3i4 
i3i4 
i3i3 
i3i3 

I3l2 

1282 

I2&1 

I2.8l 
1280 
12.80 

I  249 

i»4g 

1248 
1248 

124-7 

0 

i 

2 

3 

4 

5 
6 

7 
8 

9 

i58i 

i58o 
i58o 
1579 

i578 

1  546 
1  546 
1  545 
1  544 
1  544 
1  543 
i543 
1  542 
1  54  2 
i54i 

l5l2 

i5n 
i  Ski 

i5io 
i5io 

1478 
1477 
i477 
i476 
1476 

i444 
1  443 
1  443 
1  442 
1  442 

i4U 

i4»o 
1409 
1409 
i4o8 

f377 
i377 
i376 
i376 
i375 

i344 
1  344 
1  343 
i343 
1342 

1  331 

i3ii 
i3io 
i3io 
i3o9 

I  279 
I278 
I278 

I277 
I277 
12-76 

12-76 

I275 

1275 
1274 

1247 

1246 
1246 
ia45 
1245 

5 
5 

8 

9 

10 

ii 

12 

i3 

i4 

i578 

i577 
1  577 
i576 
!576 

1  509 
i5o8 
i5o8 
i5o7 
i5o7 

1475 

1  474 

1474 
i473 
i473 

i44i 
i44i 
i44o 
1440 
i439 

i4o8 
i4o7 
i4o7 
i4o6 
i4o6 

i374 
i374 
!373 
i373 

l372 

1  342 
i34i 

i34o 
i34o 
i339 

i339 
1  338 
1  338 
i337 
i337 

1309 
i3o8 
i3o8 
i3o7 
i3o7 

1244 
1243 
1243 
1242 
1242 

I34f 

1241 

1  2.40 

12.4*/ 
1239 

10 

ii 

12 

1  3 

i4 
i5 
16 

17 
18 

'9 

i5 

16 

»7 
18 

'9 

1  5-5 
i574 
•  574 
1  573 

i573 

i54o 
i54o 
i539 
,539 
1  538 

i5o6 
i5o6 
i5o5 
i5o4 
i5o4 

1472 
1472 
1471 
i47o 

i47° 

1  438 
1  438 
i437 
»437 
1  436 

i4o5 
i4o4 
i4o4 
i4o3 
i4o3 

I372 

i37i 
i37i 
i37o 
i37o 

1  3o6 
i3o6 
i3o5 
f3o4 
i3o4 

i274 
J273 
1273 
I272 
J27J 

20 
21 
22 
23 

24 

25 

26 

27 

28 
29 

,572 

i57i 
i57i 

»57o 
i57o 

1  538 
i537 
i536 
1  536 
1  535 

i5o3 
i5o3 

1502 

i5o2 
i5oi 

1469 
1469 
1  468 
1  468 
1467 

1  436 
i435 
1  435 
1  434 
I43.J. 

l4f>2 

1402 
i4oi 
i4oi 
i4oo 

1  369 
1  368 
1  368 
i367 
i367 
i366 
1  366 
i365 
i365 
1  364 

1  336 
1  335 
i335 
i334 
1  334 

i3o3 
i3o3 

l3o2 
J302 

i3oi 

I271 

I270 
I  270 
1269 
1269 

IV.39 

J23b 

12.38 

I237 
!237 

rj36 
1235 
1235 
1234 
1234 

20 
21 
22 
23 
24 
"25 
26 

27 
28 

29 

|569 

!567 
.567 

1  535 
1  534 
1  534 
i533 
1  532 

i5oo 
i5oo 
1499 
1  499 
1498 

1467 
1466 
i465 
1  465 

1  464 

t'433 

i43a 
U32 
i43i 
i43i 

1  399 
1  399 
1398 
1398 
i397 

1  333 
1  333 
1  332 
1  332 
i33i 

i3oi 

i3oo 
i3oo 
1299 
1298 

.368 

I  2f)8 
12()7 
1267 
1266 

3o 
3i 

32 

33 
34 

i566 
i566 
i565 
i565 
1  564 

1  532 
i53i 
i53. 
i53o 
i53o 

1498 
i497 
i4o6 
1496 
i495 

1  464 
i463 
1  463 
1462 
i46i 

i43o 
1429 
1429 
1428 
1428 

i397 
1396 
i396 
i395 
i394 

1  363 
1  363 
1  36a 
1  36a 

i36i 

i33i 
i33o 
1329 

l329 

i328 

1298 
129-7 

1297 

1296 
1296 

1266 

1265 
1264 
t?6/t 
ia63 

1233 
1233 

J2>2 

r;3u 

123l 

3o 
31 

32 

33 

34 

35 
36 
37 
38 
39 

4o 
4i 

42 

43 
44 
'45 
46 

47 
48 

49 

i563 
i563 
1  562 
(562 
i56i 

1529 
I5a8 

i5a8 

l527 
I527 

1495 
1494 
1494 
i493 
i493 

i46i 
i46o 
i46o 
1459 
i459 

142-7 

l427 

1426 
1426 
i425 

i394 
i393 
i393 
1392 

I392 

i36i 

i36o 
i36o 
i359 
i359 

1  328 

1327 
l327 

1  326 
1  326 

~i3z5~ 

i325 
1  324 
i323 
.323 

J295 

1295 
1  294 

1294 

T993 

ia63 

1  2.(v> 

i  3fi:> 

t?T,  ; 
I2?;! 

1260 
1260 
,259 

I259 

1258 

i»3i 

>  2  3,0 
12.3o 

1229 
1229 

35 
36 
37 
38 
39 

i56i 
i56o 

i559 
i55o 
1  558 

1  526 
1  526 

i525 
1  524 
i5z4 

1492 
1491 
1491 
1490 
1490 

1  458 
i458 
1  457 
i456 
1  456 
~T455 
i455 
i454 
i454 
i453 

1424 
1424 
i423 
1423 

1422 

i39i 
i3gi 
1390 
i389 
i389 

1  358 
i357 

i357 
1  356 
1  356 

129? 
1299 
1291 
1291 
1290 

1228 

1237 
I227 
1226 
1226 

/•(  > 
4i 

42 

43 

41 

1  558 
i557 
1  556 
1  556 
1  5  55 

i5a3 
i5s3 

1  52  2 
1522 
I  52  I 

1  489 
1489 
i486 
i487 
i487 

l422 
l421 
l42l 
l420 
l4l9 

1419 
1418 
i4i8 

r4r7 
i4i7 

1  388 
1  388 
i387 
i387 
1  386 

1  355 
i355 
1  354 
1  354 
i353 

1322 
l3?9 
l32> 

i321 
i3ao 

130*1 

1989 

)v8y 
j;S8 
1288 

I257 
I257 

1256 
12.56 
1255 

1225 
1225 

u.^4 

1224 
1223 

45 
4fi 

47 
48 
49 

5o 
5i 

52 

53 

54 

1  555 
1  554 
1  554 
1  553 
i552 

I  520 
l52O 

1519 
1519 
i5i8 

i486 
i486 
i485 
i485 
1  484 

i452 
i45a 
1  45  1 
1  45  1 
i45o 

1  386 
1  385 
i384 
i384 
1  383 

1  352 
i352 
i35i 
i35i 
i35o 

l320 

1319 
1319 
i3i8 
i3.7 

128-7 

I287 

1286 
1285 
1285 

i?  55 
1254 
1254 
1253 
1253 

r»3 

1222 
1222 
1221 
IS21 
1220 
I2T9 
I2I9 

1218 

I2l8 

5o 
5i 

52 

53 
54 
55 
56 
5? 
5f 

J2. 
S. 

55 
56 

57 
58 

59 

1  552 
i55i 
i55i 
i55o 
r55o 

i5i8 

i5i7 
i5i6 
i5i6 
i5i5 

1  483 
i483 
1482 
1482 
1481 

i45o 
1449 
1  449 
1  448 
1  447 

i4i6 
i4i6 
i4i5 
i4i4 
Mi4 

1  383 
i382 
1  382 
i38i 
i38i 

i35o. 
1  349 
1  349 

1  348 
1  348 

i3i7 
i3i6 
i3i6 
i3i5 
i3i5 

1284 
1284 
1283 
1283 
1282 

1252 
1252 
I25l 
1250 
1250 

S. 

2°  5' 

2°  o' 

2°  7' 

2°  8' 

2°  9' 

2°  10' 

2°  11' 

2°  12' 

2°  13' 

2°  14' 

2°  15' 

PageJ44]                TABLE  XXJJ-. 
Proportional  Logarithms. 

"  '!';':  "';  ''  '  ; 

S. 

o 

i 

2 

3 
4 

S. 

A  m 
2°  16 

A  m 

2°  17' 

A  m 

2°  18' 

A  m 
SPU? 

A  m 
2°  20' 

A  m 
2°  21' 

A  m 

2°  22' 

A  m 
2°  23' 

A  m 

2°  24' 

A  m 

2°  25' 

A  m 
2°  26 

0 

i 

2 

3 

4 
5 
6 

8 
.JL 

10 

1  1 

12 

i3 

14 

1217 
1217 
1216 
1216 

I2l5 

1186 
nS5 
1184 
1184 
ii83 

1  1  54 
n53 
u53 

Il52 
I  I  52 

1123 
1122 
1122 
II2I 
I  I  20 

1091 
1091 
1090 
1090 
1089 

1061 
1060 

1060 
1059 
io58 

IOOO 

1029 
1029 
1028 
1028 

0999 

°999 

0998 
0998 
0997 

0969 
0969 
0968 
0968 
0967 

°939 
o939 
0938 
0938 
0937 

0909 
0909 
0908 
0908 
0907 

I2l5 

1214 

I2l4 

i2i3 

12  1  3 
1212 
121  I 
I  21  1 

I  2  10 
I  2  I  0 

u83 
1182 
1182 
1181 
1181 

.  n5i 
i  i5i 
n5o 
ii5o 
1149 

I  120 
I  I  19 
I  119 

1118 
1118 

1089 
1088 
1088 
1087 
1087 

io58 
1057 
1057 
io56 
io56 

1027 

1027 
1026 
1026 

1025 

0997 
0996 
0996 
o995 
0995 

0967 
0966 
0966 
0965 
o965 

0937 
0936 
o936 
o935 
0935 

0907 

09^6 
c>9<  16 
0905 
0905 

5 
6 

8 
9 

I  lOo 
Il8o 
1179 
1179 
1178 

1149 
ii48 
ii48 
Ii47 
u47 

III7 
III7 

1  116 
1  1  16 
ui5 

1086 
1086 
io85 
io85 
1084 

io55 
io55 
io54 
io54 
io53 

1025 

1024 
1024 

IO23 
1023 

0994 
0994 
0993 
0993 
0992 

0964 
0964 

0963 
0963 
0962 

oc;34 
0934 
0933 
0933 
0932 

0904 
09114 
0903 
0903 
0902 

Iu 

1  1 

12 

i3 
i4 
1  5 

16 

17 
18 

J9_ 

20 
21 
22 
23 

24 

»5 

16 

'7 
18 

[9 

I  209 
I  209 
1208 
1208 
I  207 

1178 
H77 
"77 
1  176 
M75 

n46 
1  1  46 
n45 
n45 
n44 

ni5 
1  1  14 
1  1  1  4 
ui3 
in3 

1084 
io83 
io83 
1082 
1082 

io53 
io5a 

1052 

io5i 
io5i 

1022 
1022 
1021 
IO2I 
IO2O 

0992 
0991 
0991 
0990 
0990 

0962 
0961 
0961 
0960 
0960 

0932 
0931 
0931 
0930 
0930 

0902 
0901 

OC,OI 

0900 
0900 

20 

21 
22 
23 

24 

]  207 
I  2O6 
I  206 
I2()5 

iao5 

i.75 
1  174 
1  174 
n73 

M73 

n43 

ii43 
1  142 
1  1  42 
i  i4i 
TT4T 
i  i4o 
i  i4o 
life 
1  139 

I  I  12 
I  I  I  2 
I  I  I  I 
I  III 
II  10 

1081 
1081 
1080 
1080 
1079 

io5o 
io5o 
1049 
1049 
1048 

1020 
1019 
1019 

1018 
1018 

0989 
0989 
0988 
0988 
0987 

009 

OfySo 

0958 

o958 
0957 

0929 
0929 
0928 
0928 
0927 

0899 

$ 

0898 
0897 

25 

96 

27 

28 
29 

3(" 

3i 
3  a 

33 
34 

1  204 
i  204 

I  20  3 
12  O2 
I  P.02 

I  20.1 
I  20  I 
12  OO 
I2OO 
I199 

1172 
1  172 
1171 
1171 
1  170 

I  I  IO 

1  109 
1  109 

1108 
1  1  08 

1079 
1078 
1078 
1077 
1076 

1048 
1047 
1047 
1046 
1046 

1017 
1017 
1016 
1016 
ioi5 

0987 
0986 
0986 
0985 
098  5 

0957 
0956 
0956 
o955 
o955 

0927 
0926 
0926 
0925 
0925 

0897 
0896 
0896 

o895 
o895 

25 

26 
27 
28 
29 

1  170 

r  169 
1  169 
1  1  68 
1168 

u38 
ti38 

u37 
ii37 
1  1  36 

1  107 

1106 

1  106 
i  io5 
i  io5 

1076 
1075 
1075 
1074 

1074 

1045 
1045 
1044 
1044 
1  043 

ioi5 
1014 
1014 
ioi3 
ioi3 

0984 
0984 
o983 
o983 
0982 

0954 
0954 
0953 
0953 
0952 

0924 
0924 
0923 
092.3 
0922 

0894 
0894 
0893 
0893 
0892 

3o 
3i 

32 

33 

34 
35" 
36 
37 
38 
39 

35 
36 

37 

38 

39 

II99 
1198 
1198 

1197 
1197 

1  167 
1167 
1  1  66 
1  1  65 
ii65 

n36 

ii35 
ii35 
1  1  34 
ii34 

I  K>4 

i  io4 
i  io3 
iio3 

I  102 

1073 
1073 
1072 
1072 
1071 

1071 
1070 
1070 
1069 
1069 

io43 

1042 
1042 
1041 
1041 

1012 
1012 
101  I 
IOI  I 
I  OK) 

0982 
098, 
0981 
0980 
0980 

0952 
0951 
0951 
0950 
oo5o 

0922 
0921 
0921 
0920 
0920 

0892 
0891 
0891 
0890 
0890 

4o 

4i 
42 
43 
44 

1  196 
1196 
i  195 
1  195 
1194 

1164 
n64 
ii63 
n63 

1  162 

u33 
it3a 
ii3a 

u3i 
n3i 

I  102 
I  IOI 
I  1OI 
I  100 
I  100 

i  o4o 
io4o 
1039 
1039 
io38 

1009 
1009 
1008 

ioob 
1007 

0979 

0979 
0978 
0978 
0977 

0949 
0949 
0948 
0948 
0947 

0919 
0919 
0918 
0918 
0917 

0889 
0889 
0888 
0888 
0887 

4o 
4i 

42 

43 
44 
~45" 
46 
47 
48 

49 
5o 
5i 

52 

53 
54 

45 
46 
47 
48 
49 

:,93 
1  193 
1  192 
1  192 
1191 

1  162 
1  161 
1  161 
1160 
1  160 

i  i3o 
i  i3o 
1129 
1  129 
1128 

1099 
1099 
1098 
1098 

1097 

1068 
1068 
1067 
1067 
1066 

io37 
1037 
io36 
io36 
io35 
To35 
io34 
io34 
io33 
io33 

1007 
1006 
1006 
ioo5 
ioo5 

0977 
0976 
0976 
0975 
0975 

0974 
0974 
0973 
0973 
0972 

0947 
0946 
0946 
0945 
o945 

0917 
0916 
0916 
0915 
0915 

0887 
0886 
0886 
o885 
088  5 

5o 
Si 

52 

53 
54 
55" 
56 

$7 
58 
5V 

1  191 
1190 
1190 
1189 
1189 

i,59 
1  1  59 
u58 

1  1  58 

ii57 

1128 
1127 
1127 
1126 
1  126 

1097 

1096 
1096 
1095 

1095 

1066 
io65 
io65 
1064 
1064 

ioo4 
ioo4 
ioo3 
ioo3 

1002 

0944 
0944 
0943 
0943 
0942 

0914 
0914 
0913 
0913 
0912 

0884 
0884 
o883 
o883 
o883 
0882 
0882 
r,88l 

0881 
0880 

1188 
1188 
1187 
1187 
1186 

ii57 
n56 
n56 
ii55 
1  1  54 

uaS 

(125 

1  124 
1  124  ' 

1123 

1094 
1094 
1093 
1092 
1092 

io63 
io63 
1062 
1062 
1061 

1032 

io3a 
io3i 
io3i 
io3o 

1  002 

100  1 
IOOI 
IOOO 
IOOO 

0972 
0971 
0971 
0970 
0970 

0942 
0941 
0941 
0940 
0940 

0912 
09*1 
091  1 
0910 
0910 

55 
56 

57 
58 

59 

B. 

2°  16' 

2°  17' 

2°  18' 

2°  UK 

2°  '20' 

2°  21' 

2°  22' 

2°  23' 

2°  24' 

2°  25' 

2°  Stf 

S 

-TABLE  XXII.                [HH(ei45 
Proportional  Logarithms 

S 

h  m 

2°  27' 

h  m 

2°  28' 

Ii  m 

2°  29' 

h  m 
2°30/ 

A  m 
2°  31' 

h  m 

2°  32' 

h  m 
2°  33' 

h  m 
2°  34' 

h  m 
2°  35' 

h  m 

2°  36' 

h  m 
2°  37' 

S. 

o 
i 

2 

3 
4 
"5 
6 

1 
8 

9 

10 

ii 

12 

i3 

i4 

0880 
0879 
0879 
0878 
0878 

08  5o 
o85o 
0849 
0849 
0848 

0821 
0820 
0820 
0819 
0819 

0792 
0791 
0791 
0790 
0790 

0768 
0762 
0762 
0762 
0761 

o734 
o734 
o733 
o733 

0732 

o7o6 
o7o5 
o7o5 
o7o4 
o7o4 

0678 
0677 
0677 
0676 
0676 

0649 
0649 
0648 
0648 
0648 

0621 
0621 
0621 
0620 
0620 

o594 
o593 
o593 
0592 
0592 

o 

i 

2 

3 
4 

5 
6 

8 
9 

0877 
0877 
0876 
0876 
o875 

0848 
0847 
0847 
0846 
o846 

0818 
0818 
0817 
0817 
0816 

0789 
0789 
0788 
0788 
0787 

0761 
0760 
0760 
0759 
0759 

0732 

0731 
073  1 
0730 
0730 

o7o3 
o7o3 

0703 

0702 
0702 

o675 
0675 
0674 
0674 
0673 

0647 
0647 
o646 
o646 
o645 

0619 
0619 
0618 
0618 

0617 

0591 
o59. 
o59i 
0590 
0590 

"oTsT" 
0589 

o588 
o588 
o587 

08  7  5 
0874 
o874 
0873 
0878 

o845 
o845 
o844 
o844 
o843 

0816 
0816 
68i5 
o8i5 
08  1  4 

0787 
0787 
0786 
0786 
0785 

o75S 
o758 
0757 
0757 
07  56 

0730 
0729 

0729 

0728 
0728 

0701 
0701 
0700 
0700 

0699 

0673 
0672 
0672 
0671 
0671 

o645 
o644 
o644 
o643 
o643 

0617 
0616 
0616 
o6i5 
o6i5 

10 
1  1 

12 

i3 

14 

i5 
16 

I~7 

18 
'9 

0872 
0872 
0871 
0871 
0870 

o843 
0842 
0842 
084  1 
0841 

0814 
o8i3 
08  13 
0812 
0812 

o785 
0784 
0784 
o783 
o783 

07  56 
o755 
o-/55 
o-54 
o754 

0727 
0727 
0726 
0726 
0725 

0698 
0697 
0697 
0696 
0696 
0695 
0695 

0694 

0670 
0670 
0670 
0669 
0669 

0642 
0642 
0641 
o64i 
0641 

o6r5 
0614 
o6i4 
o6i3 
061  3 

0587 
o586 
o586 
o585 
o585 

i5 
16 

17 
18 

19 

20 

21 
22 
23 

24 

0870 
0869 
0869 
0868 
0868 

0840 
0840 
0839 
0839 
o838 

08  1  1 
0811 
0810 
0810 
0809 

0782 
0782 
0781 
0781 
0780 

o753 
o753 
0752 
0752 
0751 

0725 
0724 
0724 
0723 
0723 

0668 
0668 
0667 
0667 
0666 
~  o666~ 
o665 
o665 
0664 
0664 

o64o 
o64o 
o639 
0689 
o638 

0612 
0612 
0611 
06  1  1 
0610 

o585 
o584 
o584 
o583 
o583 

20 
21 
22 
23 
24 
25 
26 

27 
28 
29 

20 
26 
27 
28 
29 

3o 
3i 

32 

33 

34 

0867 
0867 
0866 
0866 
o865 

o838 
o837 
o837 
o836 
08  36 

0800 
0808 
0808 
0807 
0807 

0806" 
0806 
o8o5 
o8o5 
0804 

0780 
0779 
0779 
0778 
0778 

o75i 
o75i 
o75o 
0750 
0749 

0722 
0722 
0721 
0721 
0721 

0694 
0694 
0693 
0693 

0692 

o638 
o637 
o637 
c636 
o65S 

0610 
0609 
0609 
0609 
0608 

o582 
o582 
o58i 
o58i 
o58o 

o865 
0864 
0864 
o863 
o863 

o835 
o835 
o834 
o834 
o834 

0777 
0777 
0776 
0776 
0775 

0749 
0748 
0748 
0747 
074-7 

0720 
0720 

0719 
0719 
0718 

0692 
0691 
0691 
0690 
0690 

066  3 
o663 
o663 
0662 
0662 

o635 
o635 
o634 
o634 
o634 

0608 
0607 
0607 
0606 
0606 

o58o 
0579 
0579 
0579 
o578 

3o 
3i 

32 

33 

34 

35 
36 

3? 
38 

.39 
4o 
4i 

42 

43 
44 

0862 
0862 
0861 
0861 
0860 

o833 
o833 
o832 
o832 
o83i 

0804 
o8o3 
o8o3 
0802 
0802 

0775 
0774 
0774 
°7?4 
0773 

0746 
0746 
o745 
o745 
o744 

0718 
0717 
0717 

0716 
0716 

0609 
0689 
0688 
0688 
0687 

0661 
0661 
0660 
0660 
o659 

o633 
o633 
o632 
o632 
o63i 

o6<6 
ooo5 
0604 
0604 
o6o3 

o578 
o577 
o577 
o576 
o576 

35 
36 

37 
38 

39 

0860 
o859 
0869 
o858 
o858 

o83i 
o83o 
o83o 
0829 
0829 

0801 
0801 
0801 
0800 
0800 

0773 

0772 
0772 
0771 
0771 

o744 
o743 
o743 
0742 
0742 

0715 
0715 

0714 
0714 

07  1  3 

0687 
0686 
0686 
0686 

068  5 

o659 
c>658 
o658 
o()57 
of>57 

o63i 
o63o 
o63o 
0629 
0629 

o6o3 
0602 
0602 
0602 
0601 

o575 
o575 
o574 
o574 
o573 

4o 
4i 

42 

43 
44 

45 
46 

4? 
48 

49 

0857 
o857 
08  56 
08  56 
o855 

0828 
0828 
0827 
0827 
0826 

0799 
0799 
0798 
0798 

0797 

0770 
0770 
0769 
0769 

0768 

o74i 
o74i 
0740 
0740 
0740 

0713 
0712 
0712 
0711 
0711 

o685 
0684 
0684 
o683 
o683 

c>656 
o656 
o655 
.,655 
(•655 

0628 
o6?8 
0628 
0627 
0627 

0601 
0600 
0600 
o599 
o599 

o573 
o573 

0572 

o5-2 
o57i 

45 
46 
47 
48 

49 

5o 

5  1 

52 

53 

54 

o855 
o855 
08  54 
o854 
o853 

0826 
0825 
0825 
0824 
0824 

0797 
0796 
0796 
0795 
0795 

0768 
0767 
0767 
0766 
0766 

0789 
0739 
o738 
o738 
0737 

0711 
0710 
0710 
0709 
•  0709 

0682 
0682 
0681 
0681 
0680 

o654 
o654 
o653 
o653 
o65? 

0626 
0626 
0625 
0625 
0624 

0598 
o598 
0597 
0597 
0596 

o57i 
o57o 
o57o 
o569 
0569 

5o 

5i 

52 

53 

54 

55 
56 
57 
58 
59 

o853 
o852 
08  5  2 
o85i 
o85i 

o8a3 
0823 
0822 
0822 
0821 

0794 
0794 
0793 
0793 
0792 

^W 

o765 
o765 
0764 
0764 
o763 

o737 
o736 
o736 
o735 
o735 

2°  31' 

0-708 
0-708 

0707 
O7C7 
o7o6 

0680 
0679 
0679 
06-78 
0678 

o652 
o65i 
o65i 
o65o 
o65o 

0624 
0623 
0623 
0622 
0622 

0596 
0596 
o595 
o595 
0594 

o568 
o568 
o568 
o567 
o567 

55 
56 

57 
58 

J2_ 

S. 

8. 

2°  27' 

2°  28' 

2°  3(X 

2°^ 

2°  33' 

2°  34' 

2°  35' 

2°  36' 

2°  37' 

*agelU]                       TABLE  XXII. 

Proportional  Logarithms. 

S. 

0 
2 

3 
4 

S. 

0 

i 

3 

4 

A  m 

2°  38' 

h  m 
2°  39' 

k  m 

'?  40' 

m 
°41' 

h  m 

°42' 

h  m 
2°  43' 

m 
°44' 

rn 
0  45' 

h  m 
2°  46' 

h  m 

°47' 

t  m 

£48' 

o566 
o566 
o565 
o'k>5 
or>64 

o539 
o538 
o538 
r537 
o537 

O5l2 

o5ii 
o5ii 
o5io 
o5io 

o484 
o484 
o484 
o483 
o483 

o458 
o457 
o457 
o456 
o456 

o43  1 
o43o 
o43o 
o43o 
0429 

0404 
0404 
o4o3 
o4o3 
o4o3 

o378 
o377 
o377 
o377 
o376 

o352 
o35i 
o35i 

o35o 
o35o 

o326 
o325 
o325 
o324 
o324 

o3oo 
0299 
0299 
0298 
0298 

'j 
6 

8 
_9_ 

10 

1  1 

12 

i3 
i4 

o564 
o563 
o563 

o562 
o562 

o536 
o536 
o536 
o535 
o535 

0509 
0509 
oSo8 
o5o8 

o5o7 

0482 
0482 
0481 
0481 
o48o 

o4  5b 
o455 
o454 
o454 
o454 

0429 
0428 
0428 
0427 

0427 

0402 
0402 
0401 
0401 
o4oo 

o376 
o375 
o375 
o374 
o374 

o349 
o349 
o349 
o348 
o348 

o323 
o323 
o323 

0322 
0322 

0297 
0297 
0297 
0296 
0296 

5 

6 

8 
9 

o562 
o56i 
o56i 
o56o 
o5b'o 

o534  1 
o534 
o533 
o533 
o532 

o5o7 
o5o7 
>5o6 
o5o6 
o5o5 

0480 
o48o 
0479 
0479 

o478 

o453 
o453 
o452 
o452 
o45i 

0426 
0426 
0426 
0425 
0425 

o4oo 
o399 
o399 
o399 
o398 

o374 
o373 
o373 

0372 

o372 

o347 
o347 
o346 
o346 
o346 

0321 
0321 
0320 
0320 

o3i9 

0295 
0295 
0294 
0294 
0294 

10 

ii 

12 

i3 
i4 

i5 

16 
i  7 
18 

'9 

o55o 
o55o 

o558 
o558 

o557 

o532 
o53i 
o53i 
o53i 
o53o 

o5u5 
o5o4 
o5o4 
o5o3 
o5o3 

04-8 
o477 
o477 
o476 
o476 

o45  1 
o45o 
o45o 
o45o 

0449 

0424 
0424 
o423 
0423 
0422 

o398 
o397 
o397 
o396 
o396 

o37i 
o37i 
o37o 
o37o 
o37o 

o345 
o345 
o344 
o344 
o343 

o3i9 
0319 
o3i8 
o3i8 
o3i7 

0293 
0293 
0292 
0292 
0291 

i5 
16 
17 
18 
'9 

20 
21 
22 
23 
24 

20 
21 
19 

23 
24 

o55y 
o557 
o556 

o556 
o555 

o53o 
0529 
o52*9 
c>5a8 
o5a8 

o5oa 

0502 

o5o2 
o5oi 
o5oi 

o475 
o475 
o475 
o474 
o474 

o44Q 
0448 
o448 
o447 
o447 

0422 
0422 
0421 
0421 

0420 

o395 
o395 
o395 
o394 
0394 

o369 
o369 
o368 
o368 
o367 

o343 
o342 
o342 
o34a 
o34i 

o3i7 
o3i6 
o3i6 
o3i6 
o3i5 

0291 
0291 
0290 
0290 
0289 

25 

26 

27 
28 
29 

3o'~ 

3i 

3? 
33 

34 

o555 

o554 
o554 
o553 
or)53 

~5^' 
o552 

(,552 

o55i 
c>55i 

o527 
O52~7 

o5a6 
»5a6 

o5a6 

o5oo 
o5oo 
0499 

c>499 
0498 

o473 
o473 

0472 
0472 

o47i 

o446 
o446 
o446 
o445 
o445 

0420 
0419 
0419 
0418 
0418 

o393 
o393 

o392 

o392 
0392 

o367 
o366 
o366 
o366 
o365 

o34i 
o34o 
o34o 
o339 
o339 

o3i5 
o3i4 
o3i4 
o3i3 
o3i3 

0289 
0288 
02.88 
0288 
0287 

25 

26 
27 
28 
29 

o52.5 
o525 
o5^4 
o5a4 
o5a3 

0498 
0498 
049-7 
0497 
0496 

04-  r 
0471 
0470 
0470 
0469 

o444 
o444 
o443 
o443 
0442 

0418 
0417 
0417 
0416 
0416 

0391 
0391 
0390 
0390 
o389 

o365 
o364 
o364 
o363 
o363 

o339 
o338 
o338 
o337 
o337 

o3i3 

O3l2 
O3l2 

o3u 
o3n 

0287 
0286 
0286 
0285 
0285 

3o 
3i 

32 

33 
34 
35" 
36 

37 
38 
39 

35 
36 
37 
38 
39 

4o 
4t 
42 
43 
44 

655o 

o55o 
o549 
0549 
o548 

o52.3 

0522 
o522 
C)52I 
0521 

0496 
o495 
0495 
0494 
0494 

0469 
0468 
0468 

0467 
0467 

0442 
0442 
o44i 
o44i 
o44o 

o4i5 
o4i5 
o4i4 
o4i4 
o4i4 

0389 
o388 
o388 
o388 
o387 

o363 
o362 
o362 
o36i 
o36i 

o336 
o336 
o336 
o335 
o335 

o3io 
o3io 
o3io 
o3o9 
0309 

O28D 
0284 
0284 

0283 
0283 

o548 
o547 
o54? 
o546 
o546 

0521 
0520 
o520 

o5i9 
0519 

0493 
0493 
o493 
0492 
0492 

0467 
0466 
0466 
o465 
o465 

o44o 
0439 
0439 
o438 
o438 

o4i3 
o4i3 
0412 
0412 
o4n 

o387 
o386 
o386 
o385 
o385 

o36o 
o36o 
o359 
o359 
o359 

o334 
o334 
o33"3 
o333 
o333 

o3o8 
o3o8 
0307 
o3o7 
o3o7 

0282 
0282 
0282 
0281 
0281 

or 

40 
4i 

42 
43 
44 
45' 
46 
47 
48 
49 
5o 
5i 

52 

53 
54 
55 
56 

57 

58 
59 

S. 

15 
46 
47 
48 

4Q 

o546 
o545 
o545 
o544 
o544 

o5i8 
o5i8 
o5i7 
o5i7 
o5i7 

0491 
0491 
0490 
0490 
0489 

o464 
o464 
o463 
o463 
0462 

o438 
o437 
o437 
o436 
o436 

o4n 
o4io 
o4io 
o4io 

0409 

o384 
o384 
o384 
o383 
o383 

o358 
o358 
o357 
o357 
o356 

o332 
o332 
o33i 
o33i 
o33o 

o3o6 
o3o6 
o3o5 
o3o5 
o3o4 

0280 
0279 
0279 

0379 

mnH 

5o 

5i 

52 

53 
54 

55 
56 

57 
58 

& 

S 

o543 
o543 
o542 
o542 
o5^i 

o5i6 
o5i6 
o5i5 
o5i5 
o5i4 

0489 
0489 
o488 
o488 
0487 

0462 
0462 
o46i 
o46i 
o46o 

o435 
o435 
o434 
o434 
o434 

0409 
o4o8 
0408 
0407 
0407 

o38? 
o382 
o38i 
o38i 
o38i 

o356 
o356 
o355 
o355 
o354 

o33o 
o329 
o329 
o329 
o328 

o3o4 
o3o3 

o3o3 

0302 

0278 

0277 
0277 
0276 

o54i 
o54i 
o54o 
o54o 
o539 

o5i4 
o5i3 
o5i3 

O5l2 
O5l2 

0487 
o486 
o486 
o485 
o485 

o46r 
o459 
o459 
o458 
o458 

o433 
o433 
o432 
o432 
o43i 

o4o6 
0406 
o4o6 
o4o5 
o4o5 

o38o 
o38o 
o379 
o379 
o378 

o354 
o353 
o353 
o353 
o35a 

o328 

0327 
0327 

o326 
o3a6 

OvlO2 

o3oi 
o3oi 
o3oo 
o3oo 

0276 
0275 

027r 
0274 

'2°  38 

2°  '^ 

2P40 

2°  41 

2°  42* 



2°  43 

— 

2°  44 

2°  45' 

—  —  —  — 

2°  46'  2°  47 

________  

2°  48 

S. 

TABLE  XXII.                Li'ugei4? 
Proportional  Logarithms. 

h  m 

h  m   h  m 
2°  50  2°  51 

k  m 
2°  52 

k  m 
2°  53 

It  m 
2°  54 

h  m 

I  h  m 
2°  56' 

//  m 
2°  57' 

li  m 

1  h  m 
2°  59' 

s. 

0 
I 

2 

3 

4 
5 

6 

8 
9 

0274 
0273 
0273 
0273 

02.72 

0248 
0248 
0247 

0247 
0247 

0223 
0222 
O222 
0221 
0221 

0197 
0197 
0197 
0196 
0196 

0172 

0172 
0171 
0171 
0171 

0147 

ci46 
oi46 
0146 

OI22 
0122 
OI22 
OI  2  1 
0121 

0098 
0097 
0097 
0096 
0096 

0073 
067*3 
0072 
0072 
0071 

0049 
oo4« 
0048 
0047 
0047 

0024 
0024 

002.3 
0023 
0023 

o 

2 

3 

4 
5" 
6 

7 

9 

0272 
0271 
0271 
0270 
0270 

0246 
0246 
0245 
0245 
0244 

022.1 
0220 
0220 
0219 
0219 

0195 
0195 
0194 
0194 
0194 

0170 
0170 
0169 
0169 
0169 

oi45 
oi45 
oi44 
oi44 
oi43 

0120 
0120 

oi  19 
or  19 

0119 

0096 
0095 
0095 
0094 
0094 

0071 
0071 
0070 
0070 
0069 

0046 
0046 
oc>46 
oo45 
0045 

OO22 
OO22 
OO2I 
OO2I 
OO2I 

4X  CO  (0  1-1  O 

0270 
0269 
0269 
0268 
0268 

0244 
0244 
0243 
0243 
0242 

0219 
O2I& 
0218 
0217 
0217 

0193 
0193 
0192 
0192 
0192 

0168 
0168 
0167 
0167 
0166 

0143 
0143 

0142 
oi4i 

OIl8 
OIl8 

oi  17 
0117 
0117 

oc.93 
0093 
0093 
0092 
0092 
0091 
0091 
0091 
0090 
0090 

0069 
0068 
0068 
0068 
0067 
006  • 
0066 
0066 
0066 
oo65 

0044 
0044 
0044 
oo43 
0043 

OO2O 
0020 
0019 
0019 
0019 

IO 

1  1 

12 

i3 
i4 

i5 
16 

17 
18 

0267 
0267 
0267 
0266 
0266 

0242 
0241 
024  1 
0241 
0240 

O2.l6 
02l6 
02l6 
02l5 
02  I  5 

0191 
0191 
0190 
0190 
0189 

0166 
0166 
oi65 
oi65 
0164 

0141 

0140 
oi4o 

0139 

0116 
oi  16 
oi  i5 

0113 

oi  14 

0042 
0042 
00.42 
(-041 

0018 
0018 
0017 
0017 
0017 

i5 
16 

17 
18 

'9 

20 

21 

22 
23 

24 

20 

21 
22 
23 

24 

0265 
0265 
0264 
0264 
0264 

0240 

023o 

0239 
0238 
0233 

0236 

0237 
0237 
0236 
0236 

02  I  4 

0214 

02  1  3 
02l3 
02l3 

c  c  c  c  c 

OO  CO  OO  CO  CO 
-J  OO  CCO  O 

0164 
oi63 
oi  63 
oi63 
0162 

0139 
0139 
oi38 
oi38 
oi37 

oi  14 
oi  14 
on3 
oi  i3 

OI  12 

0089 
0089 
0089 
0088 
0088 

oo65 
0064 
0064 
oo64 
oo63 

oo4o 
oo4o 

0039 
0039 

00l6 
00l6 

oo  1  5 
oo  1  5 
ooi  5 

25 

26 

2"7 
28 

3o~ 
3i 

32 

33 
34 
35" 
36 

37 
38 

39 

4o 
4i 
42 
43 
44 
45 
46 
47 
48 

49 
'5o 

5i 

52 

-53 
54 

0263 
02.63 
0262 

02O2 
026l 
O26l 
026l 
0260 
0260 
02.59 

O2  I  2 
O2  I  2 
O2  I  I 
D2.I  I 
O2  I  I 

0187 
0187 
0186 
0186 

oi  85 

0162 
0161 
0161 
0161 
0160 

0137 
oi36 
oi36 
oi36 
oi  35 

01  12 
01  12 
Oil  I 
Oil  I 
01  10 

0087 
0087 
0087 
0086 
0086 

oo63 
0062 
0062 
0062 
0061 

oo38 

oo38 
oc>38 

0037 
0037 

ooi  4 
ooi  4 
ooi  3 
oo  1  3 

OOI  2 
0012 
0012 
OOI  I 
OOI  I 
00  1  0 

25 
2.6 

27 
28 
29 

02.35 
0235 
0235 
0234 
0234 

0210 
0210 
0209 
0209 
0208 

oi  85 
oi  84 
oi  84 
0184 
oi  83 

oi8:> 
0182 
0181 
0181 

0160 
0159 
0169 
oi  58 
oi58 

oi35 
oi34 
01  34 
oi34 
oi33 

01  10 

OI  IO 

0109 
0109 
0108 

oo85 
008  5 
0084 
0084 
0084 

0061 
0060 
0060 
0060 
0059 

oc>36 
oo36 
oo36 
oo35 
oo35 

3o 
3  1 

32 

33 

34 

0259 

0258 
0258 
0258 

0257 

0233 
0233 
0233 

O232 
O232 

02i)8 
0208 
O2O7 
O2O7 
0206 

oi  58 
oi57 

oi56 
oi56 
oi56 
oi55 
oi55 
oi54 
oi  54 

oi33 

Ol32 
Ol32 

oi3i 
oi3i 

0108 

0107 
0107 
0107 
0106 

oo83 
oo83 
0082 
0082 

0082 

0059 
oo58 
oc>58 
0067 
0057 

oo34 

oo34 
oo34 
oo33 
oo33 

OOIO 

ooio 
0009 
0009 

0008 

35 
36 

37 
38 

39 

0257 
0256 
0256 
0255 
O2.55 

02.3  I 
023  I 
0230 
02  30 
O2.3O 

O2()6 
O2C)5 
O2o5 
O2O5 
O2O4 

0181 
0180 
o  1  80 
.0179 
0179 

oi3i 
oi  3o 
oi3o 
0129 
0129 

0106 
oio5 
oio5 
oio5 
0104 

0081 
0081 
0080 
0080 
0080 

oo56 
oo56 
oo55 
oo55 

oo32 
oo32 
oo3  1 
oo3i 
oo  3  1 

0008 
0008 
0007 
0007 
0006 

4o 
4  1 

42 

43 
44 
45 
46 
47 
48 

49 
5o 
5] 

52 

53 

54 
55 
56 

57 
58 

02.55 
0254 
0254 
0253 

0229 
0229 

0228 
0228 

0227 

0204 

O2O3 
O2O3 
0202 
0202 

0179 
0178 
0178 
0177 
0177 

oi53 
oi  53 
oi53 

Ol52 
Ol52 

0129 
0128 
0128 
0127 
0127 

OK>4 

oio3 
oio3 
oio3 

O1O2 

0079 
0079 
0078 
0078 
0077 

oo55 
oo54 

00  54 

oo53 
oo53 

oo3o 
oo3o 
0029 
0029 
0029 

0028" 
0028 
0027 
0027 
0027 

0006 
0006 
ooo5 
ooo5 
ooo4 

O252 
O2  5  2 
0252 
025l 
025l 

0227 
0227 
0226 
0226 

O225 

O2O2 
O2OI 
O2OI 
0200 
O2OO 

0176 
0176 
0176 
0175 

0175 

ci5i 
oi5i 
oi5i 
oi  5o 
0160 

0126 
0126 
0126 

0125 

0102 
OIOI 
OIOI 
OIOO 
0100 

0077 
0077 
0076 
0076 
oo75 

oo53 

00  5  2 
0052 

oo5i 
oo5i 

ooo4 

OG94 

ooo3 
ooo3 

OOO2 

OCX)  2 
OOO2 
OOOI 
OOOI 

oooo 

55 
56 
57 
58 

~s7 

02  5o 

0250 

6a5o 

0249 

0245 

C.225 
0224 
O224 
IO224 
O223 

O2OO 
0199 
0199 
0198 
0198 

0174 
0174 
0:74 
0173 
0173 

0149 

oi49 
0.48 
01  48 
oi48 

0124 
0124 
0124 

0123 
0123 

OIOO 

0099 

0099 
0098 
0098 

0075 
0075 
0074 
0074 
0073 

0()5l 

oo  5o 
oo5o 
0049 
0049 

0026 
0026  1 

0025 
0025 
0025 

2°  49'  2°  50' 

2°  51' 

2°  52' 

2°5f3 

2°  54' 

2°  55' 

2°  5(5'  j 

2°  57' 

2°  58'  j 

2°  59' 

S. 

rag«  1601                TABLE  XXIV. 
Of  Natural  Sines. 

<i' 
f 

Prep 
parts 

29 

0° 

1° 

2° 

3° 

4° 

1 

sine.  T 

ST.  cos. 

.  sine. 

.  COS. 

sine.  ? 

i.  cos. 

.  sine  F 

i.  cos. 

.  sine. 

I.  cos 

o 
o 

I 
1 

2 

2. 

3 
~3 
4 
4 
5 
5 
6 

0 
I 
2 

3 
4 
5 
6 

OOOOO  I 

0029  i 
oo58  i 
0087 
0116 
oi45 
0175 

OOOOO 
OOOOO 
OOOOO 
OOOOO 
OOOOO 
OOOOO 
OOOOO 

1745 
1774 
i8o3 
i832 
1862 
1891 
1920 

99985 
99984 
99984 

99983 
99983 
99982 
99982 

3490  < 

3548 
3577 
36o6 
3635 
3664 

?9939 
?9938 

99935 
99934 
99933 

05234 
o5263 

05292 

o532i 
>535o 
o5379 
o54o8 

?9863 
79861 
99860 
#858 

998.57 
99855 
99854 

6976 
700  5 
7o34 
7o63 
7092 
7121 
7i5o 

wfo 

99748 
997^6 
99744 

9 
8 

7 
6 
5 
4 

2 

7 
8 

9 
ro 

1  1 

I  2 

71 

.5 
r6 

'7 
18 

•9 

20 
2.1 
22 
2.3 
24 

O2()4 

0233 
0262 
0291 

0349 

OOOOO 
OOOOO 
OOOOO 
100000 

99999 
99999 

i949 
1978 
2007 
2o36 
2o65 
02094 

99981 
99980 
99980 

99979 
99979 

99978 

3693 
3723 
3752 
3781 
38io 
o3839 

99932 

9993i 
99930 

99929 
99927 
9992.6 

o5437 
o5466 
o5495 
o552.4 
o5553 
o5582 

99852 
908  5  1 
99849 
99847 
99846 
99844 

7I79 
>72o8 
o7237 
07266 

99742 

99/38 
99736 
99734 

3 

2 

I 
O 

47 
46 
45 
44 
43 
42 

6 

8 
8 
9 

x>436 
oo465 
00495 

99999 
99999 
99999 
99999 
99999 
99999 

02123 

>ai5a 

02181 

)22I  I 

99977 
99977 
99976 
99976 
99975 
99974 

o3868 
03897 
>392(5 
o3955 
03984 
o4oi3 

99925 
99924 
99923 
99922 
99921 
99919 

o56u 
o564o 
o5669 
o5698 
05727 
o5756 

o58i4 
o5844 
o5873 
05902 
o593i 

05960" 
o5o8o 

06018 
06047 
06076 
o6io5 

99842 

99839 
99838 
99836 
99834 

o7353 

0741  i 
>744o 
07460 
)7498 

99729 
9972.7 
99725 
99723 
99721 
997'9 

9 

10 

1  1 
1  1 

12 
12 
13 

i3 
1  4 

i5 

i5 
1  6 
16 

17 

>o553 

!o6i. 
x  >64o 
10669 
x>698 

99998 

99998 
99998 

9999s 
99998 

9999s 

12298 

>a3a7 

.2356 
02.385 
>a4i4 

02.443 

99974 
99973 
99972 
99972 
9997i 
9997" 

04042 
04071 
o4ioo 
04129 
o4i59 
04188 

99918 
999.7 
99916 
999  *  5 
999'3 
999  1  a 

99833 
9983i 
99829 
99827 
9982.6 
99824 

o752.7  1 
07556 
o7585 
07614 
o7643 
07672 

99716 
997-4 
99712 
99710 
99708 
99705 

4i 
40 
39 
38 
37 
36 



25 

2.6 

27 
28 

x)756 
00785 
008  1  4 
u>844 
oo873 

99997 
99997 
99997 
99997 
99996 
99996 

02472 

025oi 

>a53o 

02.560 
02589 
)26i8 

99969 

99967 
99966 
99966 

042.17 
04246 
04275 
o43c,4 
o4333 
o4362 

999  !I 

999  1° 
999°9 
99907 
99906 
999o5 

99822 
9982, 

998)3 

07701 
07730 
07759 
07766 
07817 
07846 

997o3 
997o. 

99699 

99697 
99692 

35 
34 
33 

32 

3i 
3o 

3  1 
3  a 

33 
34 
35 
36 

00902 
0093  1 

(  )(  >96<  > 
00989 
01018 

9999° 

9^ 

99995 

99995 
99995 

9999 

02700 
02734 
0276^ 
02792 

99965 
99964 
99963 
99963 
99962 
9996 

04391 
04420 
o4449 
04478 

o4536 

9990/ 
99902 

999"  ' 
999oc 

99898 

99897 

061  34 
06  1  63 
06  1  92 
06221 
06250 
062.79 

99812 
99810 
99808 
99806 
99804 
99803 

o7875 
07904 
07933 
07962 
07991 
08020 

99689 
9968- 
99685 
996l>: 

996-8 

20 

28 
27 
2.6 
25 

18 
18 
1  9 

19 

2( 
2O 
21 
21 
22 
22 

2; 

2* 
25 
26 
2f 

27 
28 
28 

37 
38 

39 
4< 
4i 

01076 
01  io5 
01  1  34 
on64 
01  (93 

01222 

9999- 
9999- 
9999 
9999 
9999 
9999 

0282 
oa85o 

02.879 
02008 
02938 
03967 

99961 
99959 
99959 
99958 
9995 
9995 

o4565 
04594 
04623 
o4653 
04682 
04711 

99896 
99894 
99893 
99892 

99889 

o63o8 
o6366 

o64?4 
o6453 

99801 
99799 
9979" 
99795 
99793 
99792 

08049 
08078 

08  TOT 

08  1  36 
081  65 
08194 

9967* 
99673 

9?668 
9966f 
99?64 

9966 

9965? 
99654 
9965 
99649 

23 
2.2 
2 
2O 

I 
I, 

O 
O 

0 

0 

o 

0 
0 

o 

-^- 

o 
o 

o 

—  •— 

4^ 
4r 
46 
47 
48 

5o 
5 
5 
53 

O  I  2  5  I 
O128O 

or  338 

01  367 

oi3o6 

9999 
9999 
9999 
9999 
9999 
9999 

o  o  o  c  o  o 

CO  CO  CO  CO  CO  0 

OX  ~  &  en  SSNQ 
M  ss  co  Jx  en  0s. 

9995 
9995 
9995 
9995 
9995 
9995 

04769 
04798 
04827 
o4856 
o4885 

9988b 
99886 
99885 
99883 
99882 
9988, 

06482 
o65  1  1 
o654<> 
06069 
o6598 
06627 

99790 
99-88 
99786 
99784 
9978 
9978c 

08223 
08252 
08281 
o83ro 

o8368 

oi454 
oi483 
oi5i3 

9999 
9998 

9998 
9998 

9998 

o3i70 
o3i99 

0322.8 

o3286 
o*33  16 

9993 
9994 

9994 
9994 
9994 
19994 

04914 

04972 
oSooi 
o5o3o 

99879 
99878 
99876 
99875 
99873 
99872 

o6656 
o6685 
06714 
o6743 
06773 
06802 

9977 
99776 
99774 
9977 
9977 
9976 

08097 
08426 
o8455 
o8484 
o85i3 
o8542 

9964 
99644 
9964 

9963 

9963 

I 

5 
5 
5 
5 
5 
6 

01600 
01629 
oi658 
01687 
01716 
0174* 

9998 
9998 
9998 

999s 
9998 

999s 

o3345 
o3374 
o34o3 
o3432 
o346i 
o349r 

999-^ 
999^ 
9994 
9994 
999- 
9993 

o5o88 

o5i46 
o5i75 
o52o5 

05234 

:  99870 
99869 
99867 
99866 
99864 

99863 

o683i 
06860 
06889 
06916 
06947 
06976 

N  cos 

9976 
9976 
9976 
9976 
9975 
9975 

.IN.  sin 

08571 
08600 
0862.9 
o8658 
08687 
08716 

N.  cos 

9963 
9963 
9962 
9962 

9962. 

0061 

~N.sin 

] 

• 

N.  co 

N.  sin 

89° 

N.  COS.  iN.  S1I 

88° 



87° 

. 

86° 

——————— 

85° 

TABLE  XXIV.                rpag«i6i 
Of  Natural  Sines. 

Prop. 

29 

5° 

6° 

7° 

8° 

9° 

Prop. 

pan* 

4 

4 
4 
4 

4 
4 
4 
4 

M 

N.  sine. 

N.  cos. 

N.  sine 

N.  cos. 

N.  sine 

N.  cos. 

N.  sine. 

N.  cos 

N.  sine. 

N.  cos 

G 
0 
I 
I 
2 
2 

3 

c 

I 

2 

3 

4 
5 
6 

8 
9 

10 

ii 

12 

08716 
08745 
08774 
08803 
o883i 
08860 
08889 

08918 
08947 
08976 
09005 
09034 
09063 

99619 
99617 
99614 
99612 
99609 
99607 
99604 

10453 
10482 
io5n 
io54o 
10569 
10597 
10626 

99452 
99449 
99^46 
99443 
99440 
99437 
99434 

I2l87 

12216 
12245 

12274 

12302 
I233I 

i236o 

99255 
99251 
99248 
99244 
99240 
99237 
99233 

^917 
i3946 
i3975 
i4oo4 
i4o33 
14061 
14090 

99027 
99023 
99019 
99015 
99011 
99006 
99002 

1  5643 
i5672 
15701 
i573o 
i5758 
1  5787 
i58i6 

98769 
98764 
98760 
98755 
98-5  1 
98746 
9874i 

60 

57 
56 
55 
54 

3 

4 
4 
5 
5 
6 
6 

7 

8 
8 
9 
9 

10 
10 

1  1 
1  1 

1  2 
12 

1  3 
-3 
H 
14 
IS 
"i5 
i5 
16 
16 
17 
17 
1  8" 
18 
'9 
'9 

20 
2O 

99602 

99599 
99596 
99594 
9959i 
99588 

io655 
10684 
10718 
10742 
10771 
10800 

9943  1 
99428 
99424 
99421 
99418 
994i5 

12889 
12.418 

12447 
12476 
i25o4 
12533 

99280 
99226 
99222 
99219 
99215 
99211 

14119 
i4i48 
14177 
14205 
14234 
14263 

98998 
98994 
98990 
98986 
98982 
98978 

1  5845 
i5873 
15902 
i593i 
i5959 
15988 

98737 
98732 
98728 
98723 
98718 
987J4 

53 

52 

5i 
5o 
49 
48 

47 
46 
45 
44 
43 

42 

4i 
4o 

% 

37 
36 

15" 
34 
33 

32 

3i 
3o 

4 
3 
3 
3 
3 
3 
~3 
3 
3 
3 
3 
3 
~3~ 
3 
3 
3 

2 
2 

.3 
i4 
1  5 
16 

17 
18 

09092 
09121 
09150 
09179 
09208 
09237 

99586 
99583 
99580 
99578 
99575 
99572 

10829 
io858 
10887 
10916 
io945 
10973 

1  1002 

no3i 
1  1060 
1  1089 
11118 
n\4i 

99412 
99409 
99406 
99402 
99899 
99896 

12562 

12591 
1  2620 
12049 
12678 
12706 

99208 
99204 

99200 
99197 
99198 
99189 

14292 
14320 
i4349 
14378 
14407 
i4436 

98973 
98969 
98965 
98961 
98957 
98953 

16017 
16046 
16074 
16108 
i6i32 
16160 

98709 
98704 
98700 
98695 
98690 
98686 

'9 
20 

21 

22 
23 

24 

09266 
09295 
09324 
o9353 
09882 
09411 

99570 
99567 
99564 
99562 
99559 
99556 

99898 
99890 
99886 
99383 
99880 
99377 

12735 

12764 
12793 
12822 
i285i 
12880 

99186 
99182 
V9I78 
99175 
99I7I 
99167 

i4464 
i4493 

14522 

i455i 
i458o 
14608 

98948' 
98944 
9894o 
98936 
9893  1 
98927 

16189 
16218 
16246 
16275 
i63o4 
i6333 

98681 
98676 
98671 
98667 
98662 
98657 

25 

26 

27 
28 
29 
30 

09440  '  995^3 
09469  9955  1 
^9498  99548 
o9;v'7  1  99545 
09556  1  99542 

°9r'58  99540 

1  1  176 

I  I2O5 

1  1  234 
1  1  263 
11291 

11  320 

99874 
99870 
90867 
99864 
99860 
99357 

12908 
12937 
12966 
12995 
i3o24 
i3o53 

99168 
99160 

99  1  56 
991  52 
99148 
99144 

14637 
i4666 
14695 
i4723 
i4752 
14781 

98923 
98919 
98914 
98910 
98906 
98902 

^8897 
98893 
98889 
98884 
98880 
98876 

1  636  1 
16890 
16419 
16447 
16476 
i65o5 

98652 
98648 
98643 
98688 
98633 
98629 

2 
2 
2 
2 
2 
2 

3i 

32 

33 
34 
35 
36 

09614 
09642 
09671 
09700 
09729 
097  58 

99537 
99534 
99081 
99528 

99528 

1  1849 

11878 

1  1  407 
1  1  436 
1  1  465 
n494 

99354 
9935r 
99847 
99344 
9934i 
99337 

i3o8i 
i3no 
i3i39 
1  3i  68 
i3r97 
18226 

99'4i 
99l37 
99i33 

99I29 
99125 
99122 

14810 
i4838 
1  4867 
14896 
14925 
i4954 

i6533 
i6562 
16591 
16620 
16648 
16677 

98624 
98619 
98614 
98609 
98604 
98600 

29 
28 

27 
26 

25 

24 

2 

a 

2 
2 
2 
2 
2 

37 
38 

39 
4o 

4i 

42 

09787 
09816 
09845 
09874 
09903 
09982 

99520 
995i7 
995  1  4 
99511 
995o8 
99506 

1  1523 
u552 
n58o 
1  1609 
11688 
11667 

99334 
99881 
99827 
99324 
99820 
99817 

18254 
18283 
i33i2 
i334i 
t337o 
1  3399 

99n8 

99^4 
99110 
99106 
99102 
99098 

14982 
iSoii 
i5o4o 
1  5069 
1  5097 
i5ia6 

98871 
98867 
98863 
98858 
98854 
98849 

16706 
i6734 
i6763 
16792 
16820 
16849 

98595 
9859o 
98585 
9858o 
98575 
98570 

23 
22 
21 
2O 

'9 

18 

21 
21 
3) 

22 
23 
23 

43 
44 
4r- 
46 
47 
48 

09961 
09990 
10019 
10048 
10077 
10106 

995o3 
99500 
99497 
99494 
99491 
99488 

11696 
11725 
ii754 
11788 
11812 
11840 

993i4 
993io 

99307 
993o3 
993oo 
99297 

i3427 
i3456 
1  348  5 
i35i4 
1  3  543 
i3572 

99094 
99091 
99087 
99o83 
99070 
99075 

i5i55 
i5i84 

l52I2 

i5a4i 

15270 
1  5299 

98845 
98841 
98836 
98832 
98827 
98823 

16878 
16906 
16935 
16964 
16992 
17021 

98565 
9S56i 
98556 
9855i 
98  546 
9854i 

17 
16 
i5 
i4 
i3 

12 
II 
10 

I 

7 
6 

0 
O 

24 

24 
25 
25 

26 
26 

P 
5o 

5i 

52 

53 

54 

ioi35 
ior64 
10192 

IO22I 

IO25O 

10279 

99485 
99482 
99479 
99476 
99473 
99470 

11869 
11898 
11927 
11956 
n985 

I2Ol4 

99293 
99290 
99286 
99283 
99279 
99276 

i36oo 
13629 
1  3658 
i3687 
i37i6 
i3744 

99071 
99067 
99068 
99059 
99o55 
9905  1 

i5327 
1  5356 
i5385 
i54i4 
1  5442 
1  547  1 

98818 
98814 
98809 
988o5 
98800 
98796 

I7o5o 
17078 
17107 
I7i36 
17164 
17193 

o8536 
9853i 
98526 
9852i 
985i6 
985n 

27 
27 
28 
28 
29 
29 

55 
56 

57 
58 

l9 

io3o8 
io337 
io366 
10395 
1042.4 
io453 

99467 
99464 
9946  r 
99458 
99455 
99452 

I2O43 

12071 

I2IOO 
I  2120 

i2i58 
12187 

99272 
99269 
99265 
99262 
99258 
99255 

i3773 
18802 
i383i 
18860 
18889 
1891-7 

99047 
99o43 
99o3o 
99o35 
99o3i 
99027 

i55oo 
i5529 
i5557 
i5586 
i56i5 
1  5643 

98791 
98787 
98782 
98778 
98773 
98769 

17222 
17250 
17279 
I73o8 
I7336 
i7365 

985o6 
98501 
98496 
98491 
98486 
98481 

5 
4 
3 

2 

I 
0 

O 

o 

o 

0 

o 

o 

N.  cos. 

N.  sine. 

N.  cos. 

\.  sine. 

N.  cos. 

V.  sine. 

N.  cos. 

N.  sine. 

N.  c.s. 

N.sine. 

M 

84° 

83° 

82° 

81° 

80° 

AK 

Pr"^ 

part 

28 
o 

O 

I 
[ 

4 
4 

c 
f 

6 
~6~ 

7 
7 
7 
8 
8 

9 

9 

10 
10 
M 
II 

T2 
12 

i3 
i3 

i4 
1  4 

5e  162] 

TABLE  XXIV. 
Of  Natural  Sines. 

10° 

11° 

12° 

13° 

14° 

Prop, 
parts 

6 

6 
6 
6 
6 
6 
6 
5 
5  ' 
5 
5 
5 
5 
5 

M 

N.  sine 

.  N.  co 

N.  sine.lN.  co 

N.  sine 

.N.  co 

N.  sine 

N.  co 

N.  sine 

N.  co 

o 

i 
I 

6 

17365 
i7393 

17422 
1745  1 
17479 
17508 

17537 

9848 
98476 
98471 
98466 
984tf 
98455 
9845o 

19081 
19109 
19138 
19167 
19195 
19224 
19262 

19816 
9815 
98i5 
9814 
9814 
98i3 

98l2 

20791 
20820 
20848 
20877 
20906 
20933 
2.0962 

9781 
0780 
9780 

9779 
9779 
9778 
9777 

22495 
22623 

22552 
22580 
2.26o8 
22637 

22666 

9743 
9743 
97424 
974  1 
974  1 
974o4 
97398 

24192 
24220 
24249 
24277 
243o5 
24333 
24362 

9703 
9702 
9701 
9700 
9700 
9699 
9698 

6 
5 
5 
5 
5 
5 
5 

8 
9 

10 

1  1 

17565 
17594 
17623 
i765i 
17680 
17708 

17737 
17766 
17794 
17823 
17862 
17880 

98445 
9844o 
98435 
9843o 
98425 
08420 

19281 
19309 
19338 
19366 
i9395 
19423 

98124 

98118 
9811 
9810 
9810 
98096 

20990 
21019 
21047 
21076 
21104 

2II32 

9777 
9776 
9776 
9775 
9774 
9774 

22693 

22722 
22760 
22778 
22807 

22835 

9739 
97384 
97378 
9737 
97365 
97358 

24390 
2.44  1  8 
2-4446 
24474 
2.45o3 
2453  1 

9698 
9697 
9696 
9696 
9696 
9694 

5 
5 
5 
5 

4Q 
4 

i3 
i4 
i5 
16 

17 
18 

984i4 
98409 
98404 
98399 
98394 
98389 

19452 
19481 
19509 
19538 
19566 
19595 

98oo( 
98084 
98079 
98o73 
918067 
08061 

2Il6l 
21189 
2I2I8 

21246 
21275 
2i3o3 

9773 
9772Q 
97723 
97717 
9771 
97705 

22863 

22892 
22020 
22948 
22977 

23oo5 

9735 
97345 
o-338 
9733 
97325 
973  1  8 

245.69 
24687 
246  1  5 
24644 
24672 
24700 

9693 
9693 
9692 
9691 
9690 
9690 

4 
46 
45 
44 
43 

42 

5 
5 
5 
4 
4 
4 

»9 

20 
21 
22 
23 
24 

17909 
17937 
17966 
17995 
18023 
18062 

98383 
98378 
98373 
98  368 
98362 
98357 

19623 
19652 
19680 
1  9709 
19737 
19766 

98056 
98o5o 
98o44 
98o39 
98o33 
98o27 

2i33i 
2i36o 
2i388 
21417 
2i445 
21474 

97698 
97692 
97686 
97680 
97673 
97667 

23o33 
23062 
23o9o 
a3ii8 

23  1  46 
23i75 

973ir 
973o4 
97298 
97291 
97284 
97278 

24728 
24756 
24784 
248  1  3 
2484  1 
24869 

96894 
9688 
96880 
96873 
96866 
96853 

4 
4o 
39 
38 
37 
36 

4 
4 
4 
4 
4 
4 

25 

26 
27 
28 
59 

3o 

1  808  1 
18109 
i8i38 
18166 
18195 
1822.4 

98352 
98347 

9834r 
9833b 
9833r 
o832.5 

J9794 
19823 
19851 
19880 
19908 
19937 

918021 
98oi6 

O^OIO 

98004 
97998 
97992 

2l5o2 

2i53o 
2i559 
2i587 
21616 

21644 

97661 
97655 
97648 
97642 
97636 
9763o 

23203 
23231 

23260 
2.3288 
233r6 
23345 

97271 
.97264 
97267 
97261 
97244 
97237 

24897 
24926 
24964 
24982 
26010 
25o38 

9686 
96844 
96837 
96829 
96822 
96816 

35 
34 
33 

32 

3i 

3o 

20 
28 
27 
26 
25 
24 

4 
3 
3 
3 
3 
3 

r4 
i5 

i5 
16 
16 

17 

17 
18 
18 
19 
*9 

20 

20 
21 
21 
21 
22 
22 

3i 

32 

33 
34 
35 
36 

18252 
18281 
i83oo 

1  8338 
1  836- 
i8395 

98320 
98  3.  5 
983  10 
983o4 
98299 
98294 

i9965 
19994 

20022 

2oo5i 

20079 
2OIO8 

97987 
97981 
97975 

97969 

97963 
97958 

2l672 
2I70I 
21-729 

2i758 
21786 
21814 

97623 

97617 
97611 
97604 
97598 
97692 

23373 
234oi 
23429) 
23458 
23486 
235i4 

97230 
97223 
97217 
97210 
97203 
97196 

26066 
26094 
26122 
25i5i 

26,79 
26207 

96807 
96800 

96793 
96786 
96/78 
9677  1 

3 
3 
3 
3 
3 

2 
2 
2 
2 
2 
2 
2 
2 
2 

I 

o 

o 
o 
o 

37 
38 
39 
4o 
4i 

42 

18424 
18452 
1  848  1 
18509 
i8538 
i8567 

98288 
98283 
918277 
9)8272 
98267 
982.6r 

20  1  36 
2oi65 
20193 

20222 
20250 
202-9 

97962 
97946 
9794o 
97934 
97928 
97922 

21843 
21871 
2.1899 
21928 
2i956 
2,985 

97585 

%& 

97566 
9756o 
97553 

23542 
2357i 
23599 
23627 
23656 
23684 

97189 
97182 
97176 
97169 
97162 
97166 

26235 
26263 
26291 

25320 

25348 
25376 

96764 
96766 
96749 
96742 
96734 
96727 

23 
22 
21 
2O 

1 

7 
6 
5 
4 
3 

2 

43 
44 
45 
46 

47 

48 

i8595 
18624 
i8652 
18681 
18710 
i8738 

98256 
9825o 
98245 
9)8240 
982.34 

98229 

2o3o7 
20336 
2o364 
20393 
20.42  1 
2o45o 

97916 
97910 
97905 
9,7899 
97893 
97887 

220l3 
22041 
22070 
22008 
22126 
22155 

97547 
9754i 
97534 
,97528 
97621 
975  1  5 

237I2 

2374o 
23769 

23797 

23825 
23853 

97i48 
97141 
97  1  34 
97127 
97120 
97ii3 

26404 
25432 
26460 
26488 
26616 
2.5545 

96719 
96712 
96706 
96697 
96690 
96682 

2.3 
23 

24 
24 

25 

25 

49 
5o 
5i 

52 

53 

54 

18767 
18795 
18824 
i8852 
18881 
18910 

9)8223 
918218 

982I2 
98207 
98201 
98196 

20478 
20507 
20535 
20563 
20692 
20620 

97881 
978-5 
97869 
97863 
97857 
9785  1 

22183 
22212 
22240 
2268 
2297 
2325 

97608 
97602 
974o6 
97489 
97483 
97476 

3882 
39io 
3938 
3966 
3995 
4023 

97106 
97100 

97086 
97079 
97072 

5573 
56oi 
.6629 
5657 
5685 
57i3 

96675 
96667 
96660 

o6653 

96645 
96638 

I 
0 

1 

6 

26 
26 

27 

27 
28 
28 

55 
56 

57 
58 
59 
60 

18938 
18967 
r8995 
9024 

9062 

9081 

98190 

98  1  85 
98179 
98174 
98168 
98163 

20640 
20677 
20706 
o734 
o763 
0791 

97845 
9783o 
97S33 
97827 
97821 
978  1  5 

2353 
2.382 

24  1  o 
2438 

2467 

2495 

97470 
97463 
97457 
9745o 

97444 

97437 

4o5i 
4o79 
4108 
4i36 
4i64 
4192 

.  cos.  P 

97066 
97068 
97061 
97044 
97037 
97o3o 

574i 
5769 
6798 
6826 
5854 
5882 

o663o 
96623 
96616 
96608 
96600 
£5o3 

5 
4 
3 

2 

1 
O 

.  COS. 

^1.  sine. 

.  cos. 

.  sine. 

.  COS. 

.  sine. 

>J.  sine. 

.  CCS.  ? 

i.  sine. 

I 

79° 

78° 

77° 

76° 

75° 

1 

- 

TABLE  XXIV.                [Pago  lea 
Of  Natural  Sines. 

P.  op 
parts 

27 

0 
0 

I 
I 

2 
2 

3 
~ 

4 
4 
5 
5 
5 
"6 
6 
7 

8 

8 

9 

9 
9 

10 
10 

1  1 

15° 

16° 

17° 

18° 

19° 

— 

Prop 
parts 

9 

9 

9 
9 

8 
8 

M 

o 
i 

2 

3 
4 
5 
6 

N.  sine 

N.  cos. 

N.  sine 

N.  cos 

N.  sine 

N.  cos. 

N.  sine 

N.  cos 

N.  sine 

N.  cos 

25882 
25910 
25938 
25966 
25994 
26022 
26o5o 

96593 
96585 
96578 
96570 
96562 
96555 
96547 

27564 
27592 
27620 
27648 
27676 
27704 
27-3  1 

96126 
96118 
96110 
96102 
96094 
96086 
96078 

29237 
29265 
29293 
29321 
29348 
29376 
29404 

9563o 
95622 
956i3 
956o5 
95596 
95588 
95579 

30902 
30929 
30957 
3o985 

3  1  O  I  2 

3io4o 
3  1  068 

95  1  06' 
95007 

95o88 

95o?9 
95070 

95o6i 
95o52 

32557 
32584 
32612 
32639 
32667 
32694 
32722 

94552 
94542. 
94533 
94523 
945  1  4 
945o4 
94495 

60 
59 

58 
57 
56 
55 
54 

•II 

8 
9 

JO 
!  2 

26v>79 
26107 
26i35 
26163 
26191 
26219 

9654o 
96532 
96524 
96517 
96509 
96502 

27759 
27787 
278i5 
27843 
27871 
27899 

96070 
96062 
96054 
96046 
96037 
96029 

29432 
29460 
29487 
295i5 
29543 
29571^ 

95571 
95562 
95554 
95545 
95536 
95528 

31095 
3iia3 
3n5i 
31178 

3  1  206 
3  1  233 

95o43 
95o33 
95024 
9-5o  1  5 
95oo6 
94997 

3*749 

32777 

32804 

32.832 
32859 
32887 

94485 
94476 
94466 
94457 
94447 
94438 

53 

52 

5i 

5o 

49 
48 

8 
8 

8 
8 

7 
7 

7 
7 
7 
7 
6 
6 
~6~ 
6 
6 
6 
6 
5 
T 
5 
5 
5 
5 
5 

i3 
i4 
i5 
16 

17 
18 

"i9 

20 
21 
22 
23 

24 

26247 
26275 
263o3 
2633  1 
26359 
26387 

96494 
96486 
96479 
96471 
96463 
96456 

27927 
27955 
27983 
28011 
28039 
28067 

9602  1 
96oi3 
96005 
95997 
95989 
9598i 

29599 
29626 
29654 
29682 
29710 
29737 

95519 
955n 
955o2 
95493 
95485 
95476 

3i26i 
31289 
3i3i6 
3  1  344 
3i372 
3  1  399 

94988 

94979 
94970 
9496! 
94952 
94943 

32914 
32942 
32969 
32997 
33oa4 
33o5i 

94428 
944i8 
94409 
94399 
94390 
9438o 

47 
46 
45 
44 
43 
42 

264  1  5 
26443 
26471 
265oo 
26528 
26556 

96448 
9644o 
96433 
96425 

96417 
96410 

28095 
28123 
28i5o 
28178 
28206 
28234 

90972 
95964 
95956 
95948 
95940 
95931 

29765 
29793 
29821 
29849 
29876 
29904 

95467 
95459 
9545o 
9544i 
95433 
95424 

31427 
3i454 
3i482 
3i5io 
3i537 
3i565 

94933 
94924 
949i5 
94906 
94897 
94888 

33079 
33  1  06 
33i34 
33i6i 
33189 
332i6 

9437o 
9436  1 
943  5  1 
94342 
94332 
94322 

4i 
4o 
39 
38 
37 
36 

35 
34 
33 

32 

3; 
3o 

ii 

12 
12 

i3 
1  3 
M 

i4 
1  4 
i5 
i5 
16 
16 

25 

26 

27 

28 

£ 

26584 

2.66  I  2 
26640 
26668 
26696 
26724 

96402 

96386 

963?9 
96371 
96363 

28262 
28290 
283  1  8* 
28346 
28374 
28402 

95923 
959i5 
95907 
95898 
95890 
95882 

29932 
29960 
29987 
3ooi5 
3oo43 
30071 

9Li4i5 
95407 
95398 
9538o 
9538o 
95372 

3i593 
31620 
3  1  648 
3i675 
3  1703 
3  1730 

94878 
94869 
94860 
9485  1 
94842 
94832 

33244 
33a7i 
33298 
33326 
33353 
3338  1 

943  1  3 
943o3 
94293 
942.84 
94274 
94264 

94254" 
94245 
94235 
94225 
94215 
94206 

3i 

32 

33 
34 
35 
36 

26752 
26780 
26808 

26836 
26864 
26892 

96355 
96347 
96340 
96332 
963a4 
963i6 

28429 
2.8457 
28485 
285  1  3 
28541 
28669 

95874 
95865 
95857 
96849 
9584  1 
95832 

30098 
3oi;?6 
30i54 
3oi82 
30209 
3o237 

95363 
95354 
95345 
95337 
95328 
953i9 

3i758 
3  1  786 
3i8i3 
3i84i 
3  1  868 
3  1  896 

94823 
04814 
o48o5 

94795 
947^6 

94777 

334o8 
33436 
33463 
33490 
335i8 
33545 

29 

28 

27 
26 
25 

24 

4 

4 
4 
4 
4 
4 

17 
17 
18 
18 
18 

ii 

J9 

20 
20 
21 
21 

22 

37 
38 
39 
4o 
4i 

42 

26920 
26948 
26976 
27004 
27032 
27060 

963o8 
963oi 
96293 
96285 
96277 
96269 

28597 
28625 
28652 
28680 
28708 
28736 

95824 
958i6 
958o7 
95799 
957Q' 
957£2 

3o265 
30292 
3o3io 
3o348 
3o376 
3o4o3 

953  10 
953oi 
95293 
95284 
95275 
95266 

3i923 
3i95i 

32006 
32o34 
32061 

94768 
94758 
94749 
9474o 
9473o 
94721 

33573 
336oo 
33627 
33655 
33682 
337io 

94196 
94186 
94176 
94i67 
94i57 
94  1  47 

23 
22 
21 
20 

1 

17 

16 
i5 
i4 
i3 

12 

ii 

10 

i 

6 

3 
3 
3 
3 
3 
3 

43 
44 
45 
46 
47 
48 

27088 
27116 
27144 
27172 
27200 
27228 

96261 
96253 
96246 
96238 
9623o 
96222 

28764 
28792 
28820 
28847 
28875 
28903 

95774 
95766 
95757 
95749 
95740 
95732 

3o43i 
30459 
3o486 
3o5i4 
3o54a 
3o57o 

95257 
95248 
95240 
9523i 
95222 
952i3 

32089 
32116 
32i44 
32171 
32199 
32227 

94712 
94702 
94693 
94684 
94674 
94665 

33737 
33-64 
33/92 
338i9 
33846 
33874 

94i37 
94127 
94118 
94io8 
94098 
94088 

3 

2 
2 
2 
2 
2 

22 
20 
23 
23 

24 

24 
25 
25 
26 

26 

27 
27 

P 
5o 

5i 

52 

53 
54 
55 
56 

57 
58 
59 
60 

27256 
27284 
27312 
27340 
27368 
27396 

96214 
96206 
96198 
96190 
96182 
96i74 

2893  1 
28959 
28987 
29015 
29042 
29070 

95724 
95715 

95707 

95693 
95690 
9568r 

30597 
3o625 
3o653 
3o68o 
3o7o8 
3o736 

95204 
95  1  95 
96186 
95177 
95i68 
95i59 

32254 
32282 
3a3o9 

32337 
32.364 
32392 

94656 
94646 
94637 
94627 
94618 
94609 

339oi 
33929 
33956 
33983 
34ou 
34o38 
34o65 
34093 
34120 
34i47 
34i75 
34202 

94o78 
94068 
94o58 
94049 
94039 
94029 

2 
2 

I 
I 
I 
I 

I 

I 
O 
O 

o 
o 

27424 
27452 
27480 
27508 
27536 
27064 

96166 
96  1  58 
96i5o 
96142 
96134 
96126 

29098 
29126 
29154 
29182 
29209 
29237 

95673 
95664 
95656 
95647 
95639 
9563o 

30763 

30791 
30819 
3o846 
3o874 

^0902 

95  1  5o 
95i42 
95i33 
95124 
95n5 
95  1  06 

32419 
32447 
32474 
3a5ou 
32529 
32557 

94599 
94590 
9458o 
o457i 

94  56  1 
94552 

94o  1  9 
94009 
93999 
93989 
939-79 
93o69 

5 
4 
3 

2 

I 
O 

N.  cos. 

N.  sine. 

N.  cos. 

V.  sine. 

\.  fos. 

NT.  s'ne. 

N.  cos. 

\  sine.  '  N.  cos.,M.  sine. 

i  ,  ..    ' 

M 

— 

740 

73° 

72° 

71° 

70° 

Figeiw]                TABLE  XXIV. 
Of  Natural  Sines. 

rop. 
ara 

11 

II 

11 
10 
10 
IO 
10 
10 
10 

9 
9 
9 
9 

9 
8 
8 
8 
8 
8 
8 
7 
7 
7 
7 
7 
6 
b 
0 
6 
6 
6 

5 

5 
5 
5 
5 

4 

Prop, 
part. 

27 

o 
o 

I 
I 
•J 

2 

3 

20° 

21° 

22° 

23 

V.  sine. 

0 

V.  cos. 

24° 

M 

V.  sine.  1 
34202 
34229 
34257 
34284 
343  1  1 
34339 
34366 

V.  cos. 

V.  s'me.jN.  cos. 

I.  sine.  |N.  cos. 

\.  sine. 

N.  cos. 

60 
5^ 

57 

56 
55 
54 

0 

I 

2 

3 

4 
5 
6 

8 
9 

0 

i 

12 

i3 

i4 
i5 
(6 

18 

93969 
93959 
93949 
93939 
93929 

939'9 
939o9 

35837 

35864 
35891 
359i8 
35945 
35973 
36ooo 

93358 
93348 
93337 
93327 
933i6 
933o6 
932.95 

3746i 
37488 
375i5 
37542 
37569 
37595 
37622 

92718 
92707 

92697 
92686 
92675 
92664 
92653 

39073 
39100 
39127 
39i53 
39180 
39207 
39234 

92050 
92.039 
92028 

920l6 

92005 

91994 
91982 

4o674 
40700 
40727 
4o753 
40780 
40806 
4o833 

9i355 
91343 
9i33i 
91819 
91307 
91296 
91283 

3 

4 
4 
5 
5 
5 
"IT 
6 
7 

8 
8 

34393 
34421 
34448 
34475 
345o3 
3453o 

93899 
93889 
93879 
93869 
93839 
93849 

3  60  2  7 
36o54 
36o8i 
36  1  08 
36  1  35 
36162 

93285 
93274 
93264 
93253 
93243 
93a32 

37649 
37676 
377o3 
3773o 

37757 
37784 

92642 
92631 
92620 
92609 
92598 
92587 

39260 
39287 

393*4 
3934i 
39367 
39394 

91971 
91959 

91948 

9i936 
91925 
91914 

9I902 
91891 
91879 
91868 

9i856 
9i845 

40860 
40886 
40913 
40939 
40966 
40992 

91272 
91260 
91248 
91236 
91224 
91212 

53 
62 
5i 
5o 
49 
48 

34557 
34584 
346  1  2 
34539 
34666 
34694 

93839 
9382.9 
938i9 

938o9 
93799 
93789 

36  1  90 
36217 
36244 
36271 
36298 
36325 

93222 
9321  1 
93201 
93190 
93580 
93i69 

37811 

37838 
37865 

3-7892 
3-7919 
37946 

92576 
92666 
92554 
92.543 
92532 
92521 

39421 

39448 
39474 
3950  1 
39528 
39555 

41019 
4io45 
41072 
4  1  098 
4ii25 
4u5i 

91200 
91188 
91176 
91164 
91  162 
91  i4o 

47 
46 
45 
44 
43 

42 

9 
9 
9 
10 

10 

1  1 
1  1 

12 
12 

i3 
i3 
i4 

'9 
20 

21 
22 
23 

24 
2:5 
26 

27 

2.8 

29 

3o 

34721 

34748 
34-75 
348o3 
3483o 
34857 

93779 
93769 
93759 
93748 
93738 
93728 

36352 
36379 
364o6 

36434 
3646  1 
36488 

93i59 
93  1  48 
93.37 
93  1  27 
93  1  1  6 
93  1  06 

37973 

37999 
3802.6 
38o53 
38o8o 
38io7 

925  io 
92499 
92488 

92.477 
92466 
92455 

3958i 
396o8 
39635 

39661 
39688 
397i5 

9i833 
91822 
91810 
91799 
91787 
91775 

41178 
41204 
4i23i 

41267 
412.84 
4i3io 

91  128 
91116 
91  u>4 
91092 
91080 
91068 

4i 
4o 
39 
38 

37 
36 

"35 

34 

33 

32 

3z 
3o 
29 

28 

27 
26 

25 

24 

34884 
3  i9  1  2 
34939 

34966 
34993 

3  1)02  I 

98718 
93708 

91698 
93688 
93677 

91667 

365  1  5 
36542 
36569 
36596 

36623 
3665o 

93095 
93o84 
93074 
93o63 
93o52. 
98042 

38  1  34 
38i6i 
38  188 
382  1  5 
3824i 
382.68 

92444 
92432 
9242  1 
92410 
92399 
92.388 

39741 
39768 
39795 
39822 
39848 
39875 

91764 
91762 
91741 
91729 
91718 
9  1  706 

4i337 
4  1  363 

4i39o 
4r4i6 
4  1  443 
4i469 

91066 
91044 
91032 
91020 
91008 

90996 

90984 
9097; 

9J96o 
90948 

9->936 
!  90924 

i4 
r4 

i5 
1  5 
(6 

1  6 

18 
18 

18 
'9 

3i 

3-? 
33 

34 
3r> 
36 

3? 
38 
39 
4o 

4  1 
42 

35o48 
35075 
35io^ 
35i3o 
35i57 
35.84 
352fi 
35239 
35266 
35293 
35320 
35.347 

93657 
93647 
93637 
93626 

93616 
93606 

PI" 

o3575 
93565 
93555 
93544 

36677 
36704 
3673i 
36758 
36785 
368  1  2 

"36839' 
36867 
36894 
3692  . 
36948 
36975 

93o3i 
93020 
9.3010 
92999 
92988 
92978 

92^6? 
92956 
92945 

92935 
92924 
92913 

38295 

38322 
38349 
38376 
384o3 
3843o 

"38456 

38483 
385io 
38537 
38564 
38591 

38617 

38644 
3867  1 
38698 
,3879.5 
38752 

92.377 
92.366 
92.355 
92343 
92.3-32 
92.321 

92310 
92299 
92287 
92276 
92265 
92254 

39902 
39928 
39955 
39982 
4oob8 
4oo35 

91694 
91683 
91671 
91660 
91648 
9:  636 
97616 
916.-  3 
91601 
91590 
91573 
9156; 

4i4s>6 
41622 
4i549 

4i575 
41602 
41628 

40062 
4oo88 
4ou5 
4oi4; 
40168 
40195 

41655 
41681 

41707 
4i734 
41760 
41^87 

90911 
90899 
90887 
908-6 
|  908(53 
90861 

•23 

22 
21 

20 

'9 
i8 

17 

»6 
i5 
i4 

1  1 

10 

9 
8 

6 

4 
4 
4 
4 
3 
3 

~T 

3 
3 
3 

2 
2 

2 
2 
2 

I 
I 
I 
I 

1 
I 
0 
0 
0 

r 

'9 

•)O 

20 
21 
9.1 
22 

43 
44 

45 
46 

47 

48 

35375 

3  5  io  2 
35429 
35456 
35484 
3V>ii 

93534 

9352.4 
935.4 
9f°3 
93493 
93483 

37002 
37029 
37056 
37083 

371  io 
37i37 

92902 
92892 
92881 
92870 
92859 
92849 

92243 
92  2.3  1 
92.220 
92209 
92  1  98 

92186 

402.21 
40248 

40276 
4o3oi 
4o328 
4o355 

91555 
;  91543 
j  91  53  i 
91619 

91608 
91496 

4i8i3 
4  1  840 
41866 
4?  892 
41919 
41943 

90839 

90826 
90814 
90802 
90790 
90778 

2  2 
2.3 
23 
23 

24 
?4 

49 
5o 

5i 

52 

53 

54 

35538 
35565 
35592 

35619 
35647 
356-4 

9347? 
93462 
93452 
93441 
9343  1 
93420 

37i64 
37191 

372i8 
37245 

37272 

3-7299 

92.838 
92827 
92816 
92.805 
92794 
92784 

38778 
388o5 
38832 
38859 
38886 
38912 

92176 

92104 
92152 
92141 
92i3o 

92II9 

4o38i 
4o4o8 
4o434 
4o46i 
4o488 
4o5i4 

91484 
91.472 
91461 
91449 
91437 
91426 

41972- 
41998 
42024 
42061 
42077 
42104 

90766 
90763 
90741 
90729 
90717 
90704 

2.5 
25 

26 
26 

27 
27 

55 
56 

5? 
58 

59 
60 

35701 
35728 
35755 
35782 
358  io 
35837 

N.  cos 

93410 
93400 
93389 
93379 
93368 
93358 

373a6 

37353 

3738o 
374o7 
37434 
3746i 

92773 
92702 
92.751 
92.740 
9272.9 
92718 

38939 
38966 
3S993 
39020 

39046 
39073 

N.  cos 

92107 

92096 
92085 

92073 
92062 
92.o5o 

4o54i 
40567 
4o594 
4062  1 
4o647 
40674 

9i4i4 
91402 
9i39o 
9  13~8 
9;  366 
9i355 

42i3o 
42166 
421  83 
42209 
422.35 
42262 

90692 
90680 
90668 
90666 
oo643 
9063  r 

o 
~M 

.  N.  sine 

N.  cos 

N.  siiu 

N.  sine 

N.  ros 

N.  sine 

N.  cos 

N.  sine 

ftP 

<]&-• 

67° 

66° 

65° 

1 

TABLE  XXIV.                irag*  u» 
Of  Natural  Sines. 

Pro? 
parts 

26 

M 

o 

2 

3 
4 
5 
6 

8 
9 

10 

ii 

12 

TJ 

i4 
i5 
16 

17 
18 

25° 

26° 

27° 

2 
N.  sine 

8° 
NTco7 

29° 

— 

Prop 

parts 

14 

~i4 
i4 
i4 
i3 
i3 
i.l 
i3 

N.  sine 

N.  cos 

N.  sine 

IN.  cos 

N.  sine 

N.  cos 

N.  sine 

N.  cos. 

0 
0 

I 
I 

2 

2 

3 

42262 
42288 
423i5 
4234i 
42367 
42394 
42420 

9o63  1 
90618 
90606 
90594 
9o582 
90569 
9o557 

43837 
43863 
43889 
43916 
43942 
43968 
43994 

89879 
89867 
89854 
8984  1 
89828 
89816 
898o3 

£8 

4545i 

45477 
455o3 
45520 
45554 

89101 
89087 
89074 
89061 
89048 
89o35 
89021 

46947 
46973 
46999 
47024 
47o5o 
47076 
47ioi 

88295 
88281 
88267 
.88254 
88240 
88226 

88213 

4848i 
485o6 
48532 
48557 
48583 
48608 
48634 

87462 
8-448 
87434 
87420 
87406 
87391 
87377 

60 

57 
56 
55 
54 

3 
3 
4 
4 

5 

~6~ 
6 

7 
7 

8 

4a446 
42473 

4249? 
4a5a5 
42552 
42578 

9o545 
9o532 
90520 
90507 
90495 
90483 

44020 
44o46 
44072 
44098 
44124 
44i5i 

89790 

89777 
89764 
89752 
89739 
89726 

4558o 
456o6 
45632 
45658 
45684 
45710 

89008 
88995 
88981 
88968 
88955 
88942 

47127 
47i53 
47178 
47204 
47229 
47255 

88199 
88i8D 
88172 
88  1  58 
88i44 
88i3o 

48659 
48684 
48710 
48735 
48761 
48786 

87363 
87349 
87335 
8732i 
873o6 

87292 

53 

52 

5i 

5o 

49 
48 

12. 
I  2 
12 
12 
II 
I  I 
II 
II 
I  I 
10 
10 
10 

42604 
4263  1 
42657 
42683 
42709 
42736 

90470 
90458 
90446 
9o433 
90421 
90408 

44i77 
442o3 
44229 
44255 
44281 
443o7 

897,3 
89-700 
89687 
89674 
89662 
89649 

45736 
45762 
45787 
458  1  3 
45839 
45865 

88928 
889  1  5 
88902 
88888 
88875 
88862 

47281 
473o6 
47332 
47358 
4?383 
47409 

47434 
4746o 
47486 
475  1  1 
47537 
47562 

88117 
88io3 
88089 
88o75 
88062 
S8o48 

488  1  1 
48837 
48862 
48888 
489  1  3 
48938 

87278 
87264 
8725o 
87235 

8722I 
87207 

47 
46 
45 
44 
43 

42 

8 
9 
9 

10 
10 
IO 

»9 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

3o 

42762 
42788 
42815 
42841 
42867 
42894 

9o396 
90383 
90371 
90358 
9o346 
9o334 

44333 
44359 
44385 
444  1  1 
44437- 
44464 

89636 
89623 
89610 
89597 
89584 
8957i 

45891 
45917 
45942 
45968 
45994 
46020 

88848 
88835 
88822 
88808 
88795 
8878: 

88768 
88755 
88741 
88728 
887  1  5 
88701 

88o34 
88020 
88006 

87993 
8-7979 
87965 

48964 
48989 
49014 
49040 
49065 
49090 

87I93 
87178 
87164 
87150 
87136 
87121 

4i 

4o 

37 
36 

"3T 
34 
33 

32 

3i 
3o 

10 

9 
9 
9 

I 

8" 
8 
8 

7 
7 
_J7_ 
7 
7 
6 
6 
6 
6 

5 

5 
5 

5 
4 
4 

II 
II 

12 
12 
13 

1  3 

42920 
42946 
42972 
42999 
43oa5 
43o5i 

90321 
90309 
90296 
90284 
90271 
90259 

44490 
445  16 
44542 
44568 
44594 
44620 

89558 
89545 
S9532 
895i9 
895o6 
89493 

46o46 
46072 
46007 
46123 
46149 
46i75 

47588 
476:4 
4763o 
47665 
47690 
47716 

4774i 

47767 
47793 
47818 
47844 
47869 

8795  1 

87937 
87923 
87909 
87896 
87882 

491  16 
49141 
49166 
49192 
49217 
49242 

87107 
87093 
87079 
87064 

87o5o 
87036 

i3 

i4 
i4 
i5 
i5 
16 

3i 

32 

33 
34 
35 
36 

"37 
38 
39 
4o 
4i 
42 

43077 
43io4 
43i3o 
43  1  56 
43i82 
43209 

90246 
90233 
90221 
90208 
90196 
90183 

44646 
44672 
44698 
44724 
4475o 
4477" 

89480 
89467 
89454 
89441 
89428 
894  1  5 

46201 
46226 
46252 
46278 
463o4 
4633o 

88688 
88674 
88661 
88647 
88634 
88620 

87868 
87854 
87840 
87826 
87812 
87798 

49268 
49293 
493i8 
49344 
49369 
49394 

87021 
87007 
86993 
86978 
86964 
86949 

29 

28 
27 
26 

25 

24 

16 
16 
17 
ll 
18 
18 

'9 
!9 

20 
20 
20 
21 

21 

22 
22 
23 
23 
23 

43235 
4326i 
43287 
433  1  3 
4334o 
43366 

90171 
901  58 
90146 
90  1  33 
90120 
90108 

44802 
44828 
44854 
4488o 
44906 
44932 

89402 
89389 
89376 
89363 
8935o 
89337 

46355 
4638  1 
464o7 
46433 
46458 
46484 

88607 
88593 
8858o 
88566 
88553 
88539 

47895 
47920 
47946 
47971 
47997 
48022 

87784 
87770 
87756 
87743 

87729 
877  1  5 

494i9 
49445 
49470 
49495 
4952i 
49546 

86935 
86921 
86906 
86892 
86878 
86863 

23 
22 
21 
2O 

1 

17 

16 
i5 
i4 

i3 

12 
II 
10 

I 

6 

43 
44 
45 
46 
47 
48 

49 

DO 

5i 

52 

53 

54 

43392 
434  1  8 
43445 
4347i 
43497 
43523 

90095 
90082 
90070 
90057 
90045 
90032 

44958 
44984 
45oio 
45o36 
4  5  06  a 
45o88 

89324 
89311 
89298 
89285 
89272 
89259 

465  10 
46536 
4656  1 
46587 
466  1  3 
46639 

88526 
885  1  2 
88499 
88485 
88472 
88458 

48o48 
48oy3 

48099 
48124 
48i5o 
48i75 

87701 
87687 
8-673 
87659 
87645 
8763  1 

4957i 
49596 
49622 

49647 
49672 
49697 

86849 
86834 
86820 
868o5 
86791 
86777 

4 
4 
4 
3 
3 
3 
"3 

2 
2 

2 
i 

I 

43l49 
43575 
43602 
43628 
43654 
4368o 

90019 
90007 
89994 
89981 
89968 
89956 

45i  14 
45i4o 
45i66 
45192 
452i8 
45243 

89245 
89232 
89219 
89206 
89193 
89180 

4%64 
46690 
46716 
46742 
46767 
46793 

88445 
8843  1 
88417 
884c>4 
8839o 
88377 

48201 
48226 
48252 
48277 
483o3 
48328 

87617 
876o3 
8758o 
87575 
8756i 
87546 

49723 
49748 
49773 
49798 
49824 
49849 

86762 
86748 
86733 
86719 
86704 
86690 

24 
24 
25 
25 

26 
26 

55 
56 

57 

5tf 

59 
60 

43706 

43733 
4375o 
43785 

438  u 

43837 

N.  tos. 

89943 
89980 
89918 
899o5 
89892 
89879 

45269 
45295 
4532i 

45347 
45373 
45399 

89167 
89  1  53 
89140 
89127 
89114 
89101 

46819 
46844 
4687o 
46896 
46921 
46947 

88363 
88349 
88336 
88322 
883o8 
88295 

48354 
48379 
484o5 
4843o 
48456 
4848  1 

87532 
875i8 
875o4 
87490 
87476 
87462 

49874 
49899 
49924 
49950 
49975 
Soooo 

86675 
86661 
86646 
86632 
86617 
86603 

5 

4 

3 

2 

I 
0 

I 
I 
1 
0 
O 
0 

N.  sin*. 

\.  cos. 

\.sine. 

\.  cos. 

\.siiie. 

N.  cos. 

\.  sine. 

N.  cos. 

N.  siir«. 

IV! 

64° 

63° 

fi2° 

ftt° 

60° 

l>;'^  l(i(il                TABLE  XXIV 
Of  Natural  Sines. 

Prep 

puru 

16 

Prop. 

p.u  s 

25 

30° 

31° 

32° 

33° 

34° 

M 

0 

i 

2 

3 
4 
5 
6 

N.  sine. 

N.  cos. 

N.  sine. 

N.  cos. 

N.  sine 

N.  cos. 

N.  sine 

N.  cos. 

N.  sine 

N.  cos 

~6o 

59 
58 
57 
56 
55 
54 

O 

o 

2 
2 

3 

Soooo 
5oo2.5 
5oo5o 
5oo76 
5oioi 
50126 
5oi5i 

866o3 
86588 
86573 
86559 
86544 
8653o 
865  1  5 

5i5o4 
5i529 
5i554 
5i579 
5i6o4 
51628 
5i653 

857i7 
85-02 
85687 
86672 
85657 
85642 
86627 
856  1  2" 
85597 
85582 
85567 
8555i 
85536 

62992 

53oi7 
53o4i 
53o66 
53o9i 
53u5 
53i4o 

84806 
84789 

84774 
84769 
84743 
84728 

84712 

54464 
54488 
545  1  3 
54537 
5456  1 
54586 
546io 

83867 
8385i 
83835 
838  1  9 
838o4 
83-88 
83772 

66919 
55943 
55o68 
66992 

56oi6 
66040 
66064 

82904 
82887 
82871 
82866 
82839 
82822 
82806 

1  6 

16 
i5 
1  5 
i5 
16 

3 
3 
4 
4 
5 
5 

8 

9 
to 

1  1 

5o  1  76 

5O2OI 
50227 

60262 

60277 

5o3o2 

865oi 
86486 
8647  1 
8645- 
86442 
86427 

5i678 
5i7o3 
61728 
5i753 
5i778 
5!8o3 

53  1  64 
53i89 
532i4 
53238 
53263 
53288 

84697 
8468i 
84666 
84660 
84635 
84619 

54635 
54659 
54683 
64708 

54732 
54756 

83-56 
8374o 
83724 
83708 
83692 
83676 

66088 
66112 

56  1  36 
56  1  60 
66184 
66208 

82790 
82773 
82757 
8274i 
82724 
82.708 

53 

52 

5  1 

5o 
49 

4t3 

U 
1  4 
1  4 
i3 

1  3 
i3 

f> 
6 
6 

8 

~8~ 
8 
9 
9 

10 
1C) 

1  3 

i4 
i5 
16 

18 

5o3?7 

5o352 
5o377 
5o4o3 
5o428 
5o453 

864  1  3 
86398 
86384 
86369 
86354 
8634o 

61828 
61862 
5i877 
61902 
6192-7 
61962 

85521 
855o6 
8549i 
85476 
8546i 
85446 

533  1  2 
53337 

5336i 
53386 
534ii 
53435 

84604 
84688 
84573 
84557 
84542 
84626 

5478i 
548o5 
54829 
54854 
54878 
54902 

8366o 

83645 
83629 
836  1  3 
83597 
8358i 

56232 
66266 
66280 
563o5 
56329 
56353 

82692 
82676 
82669 
82643 
82626 
82610 

47 
46 
45 
44 
43 

42 

i3 

12 
!  2 
12 
1  I 
1  I 

'9 

20 
2J 

22 

23 

24 

25 

26 

27 

28 

?9 

3o 
"37 

32 

33 
34 
35 
36 

37 

38 
39 
4o 
4i 
42 

5o478 
5o5o3 
5o528 
5o553 
50678 
5o6o3 

86325 
863  10 
86295 
86281 
86266 
862,5  1 

5  1  977 
62002 
62026 
62061 
52o76 
62101 

8543  1 
854i6 
854oi 
85385 
8537o 
85355 

5346o 
53484 
535o9 
53534 
53558 
53583 

845  1  1 
84496 
8448o 
84464 
84448 
84433 

6492-7 
64961 
54975 
54999 
66024 
66048 

83565 
83549 
83533 
835i7 
835oi 
83485 

56377 
564oi 
66425 
56449 
5^473 
36497 

82693 

82577 
82661 
82644 
82628 
82611 

4i 

4o 
39 
38 
37 
36 

1  I 
I  t 
IO 
IO 
IO 
IO 

IO 

1  1 
1  1 

12 

12 

i3 
i3 
i3 
i4 

i4 
i5 
i5 

50628 
5o654 
60679 
5o7o4 
60729 
5o754 

86237 
8622.2 
86207 
86192 
86i78 
86  1  63 

62126 
62161 
62176 

62200 
62226 
62260 

8534o 
85325 
853  10 
86294 
86279 
86264 

536o7 
53632 
53656 
5368  1 
537o5 
5373o 

844i7 
844<>2 
84386 
8437o 
84355 
84339 

55o72 
66097 
66121 
55i45 
66169 
55  1  94 

83469 
83453 
R3437 
83421 
834o5 
83389 

66621 

56545 
66669 
56593 
66617 
5664  1 

82496 
82478 
82462 
82446 
82429 
824i3 

35 

34 
33 

32 

3i 

3o 

29 

28 

27 
2.6 
2.5 

24 

9 

') 

9 

89 

8 

~8" 

7 
7 

7 
6 

6 

6 
6 
5 

5 
5 

5o779 
5o8o4 
60820 

5o854 
5o879 
5o9o4 

86  1  48 
86  1  33 
86119 
86104 
86089 
86o74 

52.275 

62299 

62324 
62349 
62374 

52399 

86240 
85234 
86218 
86203 
85i88 
85i73 

53754 
53779 
538o4 
5382.8 

53853 
53877 

84324 
843o8 
84292 
84277 
84261 
84246 

66218 
66242 
66266 
66291 
553  1  5 
55339 

83373 
83356 
8334o 
83324 
833o8 
83292 

56665 
66689 
667  1  3 
56736 

66760 
56-84 

8s396 
8238o 
82363 
82347 
8233o 
823i4 

i5 

1  6 
1  6 

17 
17 
18 

5«929 
60964 
5o979 
5  1  004 
610291 
5io54 

86069 

86o45 
86o3o 
860  1  5 
86000 
85985 

62423 
62448 
52473 
52498 
62622 
52547 

85i57 
86142 
8612-7 
86112 
86096 
85o8i 

53902 
53926 
5395i 

53975 
54ooo 
54024 

8423o 

842  r4 
84198 
84182 

84167 
84i5i 

55363 
55388 
55412 
55436 
5546o 
55484 

00  OO  O5  OO  OO  OO  1  COCOCOCOOOCO 
Co  Co  Co  Co  CO  Co  1  Co  Co  Co  Co  Co  Co 

vO  "->  CoJX  CTi-^1  vO  «  to  JX  CTi<) 

Co  en  w  -^j  eo\o  |  en  to  oo  jx  o  o> 

66808 

56832 
56856 
5688o 
569o4 
66928 

82297 
82281 
82264 
82248 
82.231 
82214 

23 
22 
21 
2O 

19 

18 

17 
16 
16 
»4 
i3 

12 

18 
18 
T9 
'9 

20 

20 

43 
44 
45 

46 
47 
48 

61079 
5nq4 
61129 

5u54 
61179 

5  1  204 

61229 

5^54 
5i279 
5i3o4 
5i329 
5x354 

8597o 
85956 
8594i 
86926 
86911 
8580 

52572 

62697 

62621 
62646 
62671 
52696 

85o66 
85o5i 
85o35 
86020 
86006 
84989 

54o49 
54o73 
5409-7 

54122 

54  1  46 
64171 

84  1  35 
84  1  2.0 
84io4 
84o88 
84072 
84o57 

66609 
55533 
55557 
66681 
66606 
5r63o 

66962 

56976 
57ooo 
57024 
67047 
67071 

82198 
82/81 
82166 
82148 
ha  1  3s 
82115 

82098' 
82082 
82066 
82048 
82032 
82016 

5 
4 
4 
4 
3 
3 
~3 
3 

2 
2 
2 
2 

20 
21 
2  I 
22 
22 
23 
U 

a  3 

:'4 
24 
25 

25 

49 
5o 
5  1 

52 

53 
54 

8588i 
85866 
8585i 
85836 
85821 
858o6 

52720 
52745 
5277O 

52794 
62819 
52.844 
"62869" 
62893 
529i8 
52943 
62967 
62902 

84974 
84969 
84943 
84928 
849i3 
84897 

54i95 
54220 
54?.44 
54v6o 

54293 

543  1  7 

84o4i 
84026 
84009 
839r/4 
83978 
83962 

55654 
66678 
66702 
55726 
5575o 
55775 

83o82 

83o66 
83o5o 
83o34 
83oi7 
83ooi 

67096 
67119 
57i43 
67167 
67191 
67216 

I  I 
IO 

I 

6 
5 
4 
3 

2 
0 

55 
56 
5? 
58 
59 
60 

5i379 
5i4q4 

bi429 
5  1  454 
61479 

5i5o4 

N.  cos. 

86792 

85777 
86762 
85747 
86732 

85-  1  7 

848S.1 
34866 
848  5  1 
84836 
84820 
84806 

54342 
54366 
64391 

544  i  5 
5444o 
54464 

83946 
8393o 
839i5 
83899 
83883 
83867 

55799 
55823 
55847 
5587i 
56895 
55919 

82986 
82969 
87963 
82936 
82920 
82904 

57238 
67262 
67286 
573io 
57334 
57358 

8i999 

8  I9?3  2 

8i965 
8i949 
8193? 
8i9;5 

I 

I 
I 
1 
C 
0 

IN.  sine. 

N.  cos. 

N.  sine* 

N.  cos. 

V.  sine. 

N.  cos. 

N.sine. 

N.  cos. 

N.  sine. 

M 

— 

59° 

58° 

57° 

5(5° 

55° 

~> 

TABLE  XXIV.                        [i'agelCT 

Of  Natural  ISines. 

I'rop. 

pAJCtl 

23 

o 
0 

i 

i 

2 
2 
2 

35° 

36° 

37° 

38°   , 

i&° 

Prop, 
iiaru 

18 

18 
18 

'7 
17 
17 
17 
16 

,VI 

N.  sine.  N.  cos. 

N.  sine. 
58779 

5S8oa 

58826 
58849 
58873 
588V6 
58920 
58943 
58967 
58990 
546  1'4 
5oo37 
5oo6i 

N.  cos. 

IN.  sine. 

N.  cos. 

N.  sine  N.  cos. 

N.  s:r,e. 

T)2932 
62955 
62977 

63ooo 

63O22 

63o45 

63o68 

M.  cos. 
77715 
77696 
77678 
77660 
77641 
7762.3 
776o5 

o 
1 

2 

•3 

4 
5 
6 

57358 

5738i 
574o5 
57429 

57453 

57477 
575oi 

81915 
8  1  899 
81882 
81  865 
81848 
81  832 
8i8i5 

80902 
8088  5 
80867 
808  5o 
8o833 
808.6 
80799 

60182 
60205 
60228 
602  5  1 
60274 
60298 
6o3a"i 

79864 
79846 
79829 
798" 
79793 
79776 
79758 

6  1  566 
6t589 
61612 
6.635 
6,658 
61681 
61704 
61726 
61749 
61772 
6.795 
61818 
6i84i 

78801 
78783 
78765 
78747 
7872.9 
78711 
78694 
78676 
-8658 
78640 
78622 
78604 
78586 

60 
59 

58 

^"7 

56 
55 
54 

3 
3 
3 

/4 

4 

5 

,- 

6 
6 

7 

7 

-7 

8 

9 

1  O 

1  1 
,  a 
T3~ 
1  4 
i5 
16 

18 

57524 
57548 
57572 
57596 
67619 
57643 

8.798 
81782 
8  .  765 
81748 
81731 
81714 

80782 
8o765 
80748 
80730 
807  1  3 
80696 

6o344 
6o367 
60390 
6o4i4 
6o437 
6o46o 

7974i 
79723 
79706 
79688 
79671 
79653 

63090 
63ii3 

63i35 
63  1  58 
63  180 
63203 

77586 
77568 
7755o 
7753i 
775i3 
77494 

53 
5  a 

5i 

5o 

49 
48 

16 
1  6 

1  5 
i5 
.5 
i4 
i4 
i4 
i4 
i3 
i3 
i3 

57667 
57691 
577  1  5 
57738 
57762 
57786 

81698 
81681 
8.664 
8.647 
8  1  63  . 
8.6.4 
8  .  597 
8.58o 
8  1  563 
81  546 
8i53o 
8i5i3 

59084 

59108 
59131 
59164 

59.78 
59201 

80679 
80662 
8o644 
80627 
806  K) 
80593 

6o483 
6o5o6 
60629 
6o553 
60576 
60599 

79635 
796,8 
79600 
79583 
79565 
79^47 

6  1  864 
61887 
6.909 
61932 
6i955 
61978 

78568 
7855o 
78532 
785i4 
78496 
78478 

63225 
63248 
6327i 
632o3 

633,6 
63338 

77476 
77458 
77439 
77421 
77402 
77384 
77366 

77347 
77^9 
773  10 
77292 

772-73 

47 
46 
45 
44 
43 
42 

TT 
4o 
39 
38 

37 
36 

7 
8 
8 
8 
9 
9 

'9 
ao 

21 
22 
2.3 

24 

25 

26 

27 
28 
59 

3o 
~3T 

32 

33 
34 
35 
36 

578io 

57833 
57857 
5788i 
57904 
57928 

59225 
59*48 
59272 
59295 
59318 
59342 

80576 
8o558 
8o54i 
8o5a4 
8o5o7 
80489 

60622 

60645 
60668 

60691 
60714 
60738 

7953o 

795  |  2 
79494 
79477 
79459 
79441 

62001 
62.0^4 
62046 
62069 
62002 
621  1  5 

78460 
78442 
78424 
784o5 
78387 
78369 

63  36  1 
63383 
634o6 
63428 
6345  1 
63473 

12 
12 
12 
II 

11 

I  I 

10 
10 
10 

1  1 

i  i 

12 
12 
12 

i3 
1  3 
i3 

1  4 

"77 

i5 

.5 
.5 
16 
16 

57952 
57976 
57999 
58oal 
58o47 
58070 

~5~8o~97 

58  1  1  8 
58.4i 
58  1  65 
58  1  89 

582  1  2 

8.496 
81479 
81462 
8.445 
81428 
81412 

59365 
59389 

594  1  2 

59436 
59459 

59482 

80472 
8o455 
8o438 
80420 
8o4o3 
8o386 

60761 
60784 
60807 
608  3o 
6o853 
60876 

79424 
79406 

79388 
79371 
79353 
79335 

62  1  38 
62160 
62183 
62206 

62229 
6225  I 

7835  1 
78333 
783i5 
78297 
78279 
78261 

63496 
635i8 
6354o 
63563 
63585 
636o8 

77255 
77236 
77218 

77199 
77181 
77162 

35 
34 
33 

32 

3i 
3o 

II 

IO 
10 
10 

9 
9 

I 

8 
8 
8 

7 

7 

6 

6 
6 

5 

5 
5 
5 
4 
4 
4 
3 
3 
3 

2 
2 
2 

81395 

8i378 
8i36i 
8  1  344 
8,327 
8i3io 

59506 
59529 
59552 
59576 

1>9":99 
59622 

8o368 
8o35i 
8o334 
8o3.6 
80299 
80282 

60899 
60922 
60945 
60968 
60991 
6  1  o  r  5 

793,8 
793oo 
79282 
79264 
79247 
79229 

62274 
62207 
0232O 
62342 

62365 
62388 

78243 
78225 
78206 
78188 
78170 
78i5u 

6363o 
63653 
63675 
63698 
63720 
63742. 

77i44 
7712.5 

77107 
77088 
77070 
77o5i 

29 

28 

27 
26 

25 

24 

37 
38 

39 

4<> 
4i 
42 

43 

44 
45 
46 

47 

48 

58^36 
58260 
58283 
583o7 
5833o 
58354 

81293 
81276 
81259 
812.42 
81225 
8.  -208 

^i  19. 
8  1  (  -4 
8  n  57 
8n4o 
81,23- 
81106 

59646 
'59669 
59693 

597  .  6 
39739 
59763 

80264 
802.47 
802  3o 

802  1  2 

80195 
80.78 
8r(7i7i(7 
80.43 
80125 

80108 
8<  >O9  1 
8oo-3 

6io38 
6  1  '.  >6  1 
61084 
6  1  107 
611.30 
6n53 

7921  , 
79193 
79176 
79  '58 
79  1  4o 
79122 

6241  1 
62433 
62456 
62479 
62.502 
62524 

78i34 
78116 
78o98 
78079 
78061 
78043 

63765 
63787 
638  10 
63832 
63854 
63877 

63899 
63922 
63944 
63966 
63989 
64011 

77033 
770i4 
76996 

76977 
76959 
76940 

23 
22 
21 
20 
19 

18 

16 

'7 
17 

18 
1.8 

^9 
'9 

20 
HO 

uo 

21 

21 
21 
22 
22 
23 
23 

58378 
584oi 

58425 
58449 
58472 

58496 

59786 
59809 
59832 
59856 
59879 
59902 

61  .76 
61.99 

6.222 
61245 
61268 
6129. 

79105 
79087 
79069 
7905. 
79o33 
79016 

62547 
62570 
62.592 
626.5 
62638 
62660 

78025 
78007 
77988 
77970 
77962 
779^4 

7692  1 
769o3 
76884 
76866 
76847 
76828 

17 
16 
i5 
i4 
i3 

12 
II 

10 

7 
6 

49 
5o 
5i 

52 

53 
54 

585  19 
58543 
58567 
58590 
586.4 
58637 

81089 
8.072 
8io55 
8io38 

8.021 

8ioo4 

59926 
39949 
59972 

59995 
600  1  9 
60042 

"60065" 
60689 

60  I  1  -2 
60.35 

60  1  58 
60182 

800  56 
8oo38 
80021 
8ooo3 
79986 
79968 

6i3.4 
6i337 
6i36o 
6t383 
61406 
61429 

78098 
78980 
78962 

78944 
78926 
78908 

62683 
62706 
62728 
62.75  1 
62774 
62.796 
'62.6.9 
62842. 
62864 
62887 
6  2909 
02932 

77916 

77897 
77879 
77861 
77843 
77824 
77806" 
77788 

7776° 

7775i 
77733 
777  1  5 

64o33 
64o56 

64078 
64100 
64123 
64  1  45 

76810 
76791 

76772 
76754 
76735 

76717 

55 
56 

57 
58 

P 
60 

5866  1  80987 
58684  80970 
58708  80953 
5873i  8o936 
58755  80919 
58779  80902 

7995. 
79934 
79916 

79864 

6i45i 
6  1  4-4 
61497 

6l  520 

6.543 
6  1  566 

7889i 
78873 
78855 
78837 
78819 
7880, 

64167 
64190 
64212 
64234 
64256 
64279 

76698 
76679 
76661 
76642 
76623 
76604 

5 
4 
3 

2 

I 
0 

2 

I 
I 
I 
0 
& 

-  — 

N.  cos. 

N.  sine. 

N.  cos.  N.  sine. 

N.  cos.[N.  sine. 

N.  ,-os. 

N.  sine. 

N.  cos. 

N.  sine. 

M 

54° 

53° 

53° 

51° 

50° 

Page  1681                       TABLE  XXIV. 

Of  Natural  Sines. 

Prop, 
pans 

19 

~^9 
19 
1  8 
18 

18 

17 
17 

17 
16 
16 
16 
16 
i5 

Prop. 

pans 

22 

0 

o 

I 

I 
2 

2 

40° 

41° 

42° 

43° 

44° 

M 

0 

i 

2 

3 

4 
5 
6 

8 
9 

10 

1  1 
r  2 

N.  sine. 

V.  cos. 

V.  sine. 

V.  cos. 

V.  sine.  |N.  cos. 

ST.  sinu.iN.  cos. 

N.  sine. 

N.  cos. 

64279 
643oi 
64323 

64346 
64368 
64390  i 
644  1  2. 

76604 

76586 
76567 
76548 
7653o 
765  1  1 
76492 

656o6 
65628 
6565o 
66672 

65694 
657i6 
65738 

75471 
75452 
75433 
754i4 
75395 
75375 
75356 

669  1  3 
66935 
66956 
66978 
66999 
67021 
67043 

743  1  4 
74295 
74276 
74256 
74237 
74217 
74198 

60200 

68221 
682,42 
68264 
68285 
68306 
68327 

73i35 
73u6 
73o96 
73»76 
73o56 
73o36 
73o  1  6 

69466 
69487 
695o8 
69529 
69549 
69570 
6959i 

71934 
71914 

7'«94 
7,873 
7i853 
7i833 
7i8i3 

60 

r 

5" 
56 
55 
54 
53 

52 

5i 
5o 

49 
48 

3 
3 
3 

4 
4 
4 

64435 
64457 
64479 
645oi 
64524 
64546 

76473 
76455 
76436 

76417 
76398 
7638o 

65759 
6578i 
658o3 
65825 
65847 
65869 

75337 
753i8 
75299 
75280 
752.61 
7524i 

67064 
67086 
67107 
67  1  29 
67151 
67172 

74178 
74i59 
74  1  39 
74  1  20 
74  1  oo 
74o8o 

68349 
68370 
68391 
68412 
68434 
68455 

72996 
72976 
7295-7 
7293-7 
72917 
72897 

696  I  2 
60633 
69654 
69675 
69696 
69717 

71792 
71772 
71752 
71732 
71711 
71691 

5 

5 
6 
6 
6 

7 

i3 
14 
i5 
16 

17 
18 

^9 

20 
21 
22 
23 

24 

64568 
64590 
646  1  2 
64635 
64657 
64679 

?636  1 
76342 
76323 
763o4 
76286 
76267 

65891 
659i3 
65935 
65956 
65978 
66000 

75222 
752.o3 
75.84 
75i65 
75i46 
75126 

6719.4 
672  1  5 

67237 
67  2  58 
67280 
67301 

74o6i 
74o4i 
74022 
74002 
73983 
73963 

68476 
68497 
685  18 
68539 
68  56  1 
68582 

72877 

72857 
72837 
72817 

72797 

72777 

69737 

69758 

69779 
69800 
69821 
69842 

71671 
7i65o 
7i63o 
71610 
71590 
71569 

47 
46 
45 
44 
43 
42 

i5 
i5 
i4 
i4 
i4 
i3 

i3 
i3 

12 
12 
12 
I  1 
1  1 
I  I 
10 
10 
10 
10 

7 
7 
8 
8 
8 
_9. 
9 

1C 

10 

to 
I  i 
1  1 

1  1 

1  •}. 

1  '2 

I  2 

i3 
i3 

64701 
64723 
64746 
64768 

6479° 
64812 

76248 
76229 
76210 
76192 
76t73 
76i54 

66022 
66o44 
66066 
66088 
66109 
56i3i 

75107 
75o88 
75069 
75o5o 
75o3o 
75oi  i 

67323 
67344 
67366 
67387 
67409 
67430 

73944 
73924 
73oo4 
73885 
73865 
73846 

686o3 
68624 
68645 
68666 
68688 
68709 

72757 
72737 
72717 
72697 
72677 
72657 

69862 
69883 

69904 
69925 
69946 
69966 

71549 
71529 
7i5o8 
71488 
71468 
7i447 

4  1 
4o 

£ 

37 
36 

25 

26 

27 

28 

y 

3o 

64834 
64856 
64878 
64901 
64923 
64945 

76i35 
76116 

76097 
76078 
76059 
7604  1 

66[53 
66i75 
66i97 
66218 
66240 
66262 

74992 
74973 
74953 
74934 
74915 
74896 
74876 
74857 
74838 
748  i  3 

74799 
7478o 

67452 
67473 
o7495 
675i6 
67538 
67559 
6758o" 
67602 
67623 
67645 
67666 
67688 

73826 
738o6 

73787 
73767 
73747 
73728 

68730 

687  5  1 
68772 
68793 

6881  4 
68835 

72637 
72617 
72.597 

72577 
72.557 

72537 

69987 
70008 
70029 
70049 
70070 
70091 

71427 
71407 
7  1  386 
7i366 
7i345 
7  1  325 

35 
34 
33 

32 

3i 
3o 

3i 

32 

33 
34 
35 
36 

649"7 
64989 
65oi  i 
65<>33 

65o55 
65(>77 

76022 
76003 
76984 

7  5965 
75946 

75927 

66284 
663o6 
66327 

66349 
6637i 
66393 

737o8 
73688 
73669 

73649 
73629 

73<rio 

68857 
68878 
68899 
68920 
6894. 
68962 

72517 
7249- 

72.47- 

7245- 

7243- 

72417 

-OI  12 

7<>i32 

70.53 

70174 
70195 
702  1  5 

"70236 
7025- 
70277 
70298 
70319 
7<>339 

7i3o5 

71284 
71264 
71243 

71223 
71203 

29 

28 

27 
26 

25 

24 

9 

9 
9 

8 
8 

8 

i4 
M 
1.4 

1  5 
i5 
ID 

37 
38 
39 
4o 

4! 
42 

43 
44 
45 
46 

4? 
48 

65  1  oo 

65  I  22 

65  1  44 
65  166 
65  1  88 
652io 

759o8 
75889 
7587o 
7585i 
7583a 
758  1  3 

66^4 
66436 
66458 
66480 
665o  i 
66523 

74760 

7474i 

74722 
74703 

74683 
74664 

67709 
67730 
67752 
67773 
67795 
67816 

67837" 
67859 
67880 
67901 
67923 
67944 

7359o 
7357o 
7355i 
7353, 
735  1  1 
73491 

68983 
69004 
6902.5 
69046 
69067 
69088 

72397 
72377 
72357 

72337 

723  17 

72297 

71182 

71162 
71141 

71121 
71  100 
7  1  080 

23 
22 
21 
20 

'9 

18 

7 
7 
7 
6 
6 
6 

5 

5 

5 
4 
4 

4 

~~y 

3 
3 
3 

2 
2 

•) 
\ 

I 
O 
() 

16 
1  6 

17 

18 

65232 
65254 
65276 
65298 
65320 
65342 

75794 
75775 
75756 
75738 
75719 
75700 

66545 

66566 
66588 
66610. 
66632 
66653 

74644 
74625 
74606 
74586 

74567 
74548 

73472 
73452 
73432 
734  1  3 
73393 
73375 

69109 
69130 
69.  5i 
69172 
69i93 
69214 

72277 
72.2.57 
72.236 
72216 
72.196 
72.176 

7o36o 
7o38i 
70401 
70422. 
7C443 
70463 

71059 
71039 
71019 
70998 

70978 
70957 

17 
16 

i5 
i4 
i3 

12 

II 
10 

9 

8 

7 
6 

r8 
18 

'9 
'9 
!9 

20 

49 

5o 
5i 

52 

53 
54 
v>5 
56 

57 
58 

% 

65304 

65386 
654o8 

6543o 
65452 
65474 

7568o 
7566  1 
75642 
75623 
756o4 
75585 

66675 
66697 
66718 
6674o 
66762 
66783 

668o5 

66827 
66848 
66870 
66891 
669i3 

74528 
74509 
74489 
74470 
7445i 
7443  1 

6796? 
67987 
,  68008 
68029 
68o5i 
68072 

73353 
73333 
733i4 
73294 
73274 
73254 

69235 

69256 
69277 
69298 

K  '9 
69340 

721  56 
72  1  36 
721  16 
72095 
72075 
72o55 

7<>484 
7o5o5 
7o5a5 
7o546 
7o567 
7o587 

70937 
70916 
70806 
7o875 
70855 
7o834 

20 
21 
•i  i 

21 
22 
22 

65496 
655  1  8 
6554o 
65562 
65584 
656o6 

75566 
75547 
75528 
75509 
•75490 
7547' 
N  sine 
*> 

744  1  2 
74392 
74373 
74353 
74334 
743  1  4 

68093 
6811  5 
68  1  36 
68  1  57 
68179 
68200 

732.34 
732i5 
73,95 
73T75 
73i55 
70  1  35 

69361 
69382 
(k;.fo3 
69424 
69445 
69466 

72o35 
720  1  5 
7'995 
71974 
71954 
71914 

70608 
70628 
70649 
70670 
70690 
70711 

708  1  3 
70793 
70772 
70702 
70731 
70711 

5 

4 
3 

2 
I 
O 



IN.  cos. 

X.  ros. 

4 

N.  sine 

N.  cos. 

N.  sine 

i\.  ros.  IN.  sine. 

N.  cos. 

N.sine. 

M 

4 

3° 

47° 

46° 

45° 

[Page  JO!) 

TABLE  XXV 

Of  Logarithmic  Sines,  Tangents,  and   Secants  to  every  Point  and  Quarter 

Point  of  the  Compass. 

Points. 

Sine. 

Co-sine. 

Tangent. 

Co-tang. 

Secant. 

Co-secant. 

0 

Inf.  neg. 

I  O.  OOOOO 

Inf.  neg. 

Infinite. 

10.  OOOOO 

Infinite. 

8 

o  * 

8.69080 

9-99948 

8.69132 

ii.3o868 

io.ooo52 

ii  .30920 

7|j 

o  h 

8.99130 

9.99790 

8.99340 

ii  .00660 

IO.O02IO 

ii  .00870 

7  h 

0| 

9.16652 

9.99527 

9.17125 

10.82875 

10.00473 

10.83348 

7  k 

I 

9.29024 

9.99157 

9.29866 

10.70134 

10.00843 

10.70976 

7 

i  i 

9.  38557 

9.98679 

9.39879 

10.60121 

IO.OI32I 

io.6i443 

6  | 

I  h 

9.46282 

9.98088 

9.48194 

io.5r8o6 

10.01912 

10.53718 

6J 

i  i 

9.52749 

9.97384 

9.55365 

10.44635 

10.02616 

10.47251 

6J 

2 

9.68284 

9.96562 

9.61722 

10.38278 

io.o3438 

10.41716 

6 

2    i 

9.63099 

9.95616 

9.67483 

io.325i7 

io.o4384 

10.36901 

5  1 

2    i 

9.67339 

9.94543 

9.72796 

10.27204 

io.o5457 

10.32661 

54 

2    | 

9.71105 

9.93335 

9.77770 

IO.2223O 

io.o6665 

10.28895 

5* 

3 

9.74474 

9.91986 

9.82489 

10.17511 

io.o8oi5 

10.25526 

5 

3  * 

9-775o3 

9.90483 

9.87020 

10.12980 

10.09517 

10.22497 

41 

3  i 

9.80236 

9.88819 

9.91417 

io.o8583 

10.11181 

10.19764 

4  h 

3j 

9.82708 

9.86979 

9.95729 

10.04271 

IO.l3o2I 

10.17292 

44 

4 

9.84949 

9.84949 

IO.  OOOOO 

I  O.  OOOOO 

io.i5o5i 

10.  i5o5i 

4 

Co-sine. 

Sine. 

Co-tang. 

Tangent. 

Co  secant. 

Secant. 

Points. 

TABLE  XXVI. 

Logarithms  of  Numbers. 

No.  1 

j 

00.                                                                 Log.  0.00000- 

( 

J.OOOOO. 

No. 

Log. 

No. 

Log. 

No. 

Log. 

No. 

Log. 

No. 

Log. 

i 

o  .  ooooo 

21 

1.32222 

4i 

1.61278 

Gi 

.78533 

81 

.90849 

2 

o.3oio3 

22 

1.34242 

42 

1.62325 

62 

.79239 

82 

•9i38i 

3 

0.477*2 

23 

1.36173 

43 

i  .63347 

63 

.79934 

83 

.91908 

4 

0.60206 

24 

i.38o2i 

44 

1.64345 

64 

.80618 

84 

.92428 

5 

0.69897 

25 

1.39794 

45 

i.  6532  i 

65 

.81291 

85 

.92942 

6 

0.77815 

26 

1.41497 

46 

i  .66276 

66 

.8i954 

86 

i  .93450 

7 

o.845io 

27 

i.43i36 

47 

i  .67210 

67 

.82607 

87 

i  .98952 

8 

o  .  90809 

28 

i.447i6 

48 

1.68124 

68 

.8325i 

88 

•94448 

9 

0.96424 

29 

i  .46240 

49 

i  .69020 

69 

.83885 

89 

.949-39 

TO 

I.  OOOOO 

3o 

1.47712 

5o 

1.69897 

70 

.845io 

90 

.95424 

11 

.04139 

3i 

i.  49i36 

5i 

1.70757 

7i 

.85i26 

9i 

.95904 

12 

.07918 

32 

i.5o5i5 

52 

i  .71600 

72 

.85733 

92 

.06379 

i3 

.11394 

33 

i.5i85i 

53 

1.72428 

73 

.86332 

93 

.96848 

i4 

.i46i3 

34 

i.53i48 

54 

i.73239 

74 

.86923 

94 

.973i3 

i5 

.17609 

35 

i  .  54407 

55 

i.74o36 

75 

.875o6 

95 

•97772 

16 

.204I2 

36 

i.5563o 

56 

1.74819 

76 

.88081 

96 

.98227 

i? 

.23o45 

37 

1.56820 

57 

i.75587 

77 

.88649 

97 

.98677 

18 

.25527 

38 

i  .  57978 

58 

1.76343 

78 

.89209 

98 

.99^23 

'9 

.27875 

39 

i  .59106 

59 

1.77085 

79 

.89763 

99 

-99564 

20 

.3oio3 

4o 

i  .60206 

60 

i.778i5 

80 

.90309 

100 

2.  OOOOO 

r*t*W]            TABLE  XXVI. 
Logarithms  of  Numbers. 

i 

2 

3 
4 
5 
6 

8 
9_ 

43 
1 

,1 

17 

22 
26 

3o 
34 

h 

41 

12 

4 
8 
i3 

17 

21 

25 

2,9 
34 
38 

No.  100  1600.                      Log.  00000  20412. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

100 
101 
IO2 

io3 
io4 

ooooo 

00432 
00860 

01284 
01703 

00043 
oo475 
00903 
01326 
oi745 

00087 
oo5i8 
00945 
oi368 
01787 

ooi3o 
oo56i 
00988 
01410 

01828 

00173 
00604 
oio3o 
oi452 
01870 

00217 

00647 
01072 

01494 
01912 

00260 
00689 
01116 
oi536 
oi953 

oo3o3 
00732 
01157 
01578 
oi995 

oo346 
00776 
01199 
01620 
O2o36 

00389 
00817 
01242 
01662 
020-78 

io5 
106 

107 
1  08 
109 

02119 
0253  1 
02938 
o3342 
o3743 

02160 
02572 
02979 
o3383 

03782 

02302 
026l2 

03019 
o3423 

03822 

02243 
02653 
o3o6o 
o3463 
o3862 

02284 
02694 
o3ioo 
o35o3 
03902 

02325 

02735 

o3i4i 
o3543 
03941 

02366 
02776 
o3i8i 
o3583 

o398i 

02407 
02816 

03222 

o3623 
04021 

02449 
02867 
03262 
o36i63 
04060 

02490 
02898 
o33o2 
o37o3 
04100 

IIO 

I  II 

112 

ri3 
n4 

o4i39 
04532 
o4q22 
o53o8 
05690 

04179 
04571 
04961 
o5346 
05729 

04218 

04610 
o5767 

o4258 
o465o 
o5o38 
o5423 
o58o5 

04297 
04689 
05077 
o546i 
o5843 

o4336 
04727 
o5n5 
o55oo 
o588i 

o4376 
04766 
o5i54 
o5538 
o59i8 

o44i5 
o48o5 
05192 
o5576 
o5956 

04454 
o4844 
o523i 
o56i4 
06994 

04493 
04883 
06269 
o5652 
o6o32 

40 

"4 
8 
i  •} 

10 

20 

24 

28 

3a 
36 

B8 

1 
8 
1  1 
1  5 

J? 

27 

3o 

34 

i 

2 

3 

4 
5 
6 

8 

9_ 

i 

2 

3 

4 
5 
6 

8 
9 

i 

12 

1  6 

2  I 

25 

8 

3? 
39 

4 

8 

12 

1  6 
20 

23 

27 

3  1 
35 

n5 
116 
117 
118 
119 

06070 
o6446 
06819 
07188 
o7555 

06108 
o6483 
o6856 
07225 
07591 

o6i45 
o652i 
o6893 
07262 
07628 

06  1  83 
o6558 
06930 
07298. 
07664 

06221 

07335 
07700 

06258 
o6633 
07004 
07372 

07737 

06296 
06670 
07041 
07408 
o7773 

o6333 
06707 
07078 
07445 
07809 

06371 
06744 
07116 
07482 
07846 

06408 
06-781 
o7i5i 
0-7618 
0-7882 

1  20 

121 
122 
123 

124 

125 
126 
127 
128 
I29 

07918 
08279 
o8636 
08991 
09342 

07954 
o83i4 
08672 
09026 
09377 

08707 
09061 
09412 

08027 
o8386 
o8743 
09096 
09447 

o8o63 
08422 
08778 
09132 
09482 

08099 
o8458 
088  1  4 
09167 
09517 

08  1  35 
08493 
08849 
09202 
09552 

08171 
08529 
08884 
09237 
o9587 

08207 
o8565 
08920 
09272 
09621 

08243 
08600 
08966 
0930-7 
09666 

09691 
10037 
io38o 
10721 
11059 

09726 
10072 
io4i5 
io755 
1  1093 

09760 
10106 
10449 
10789 
11126 

o9795 
ioi4o 
io483 
10823 
11160 

09830 
10175 
io5i7 
io857 
11193 

09864 
10209 
io55i 
10890 
11227 

09899 
10243 
ro585 
10924 
11261 

09934 
10278 
10619 
10958 
11294 

09968 

IOJI2 

io653 
10992 
11827 

iooo3 
io346 
10687 
11026 
u36i 
11694 

12024 
12352 
I  2678 

i3ooi 

1  3322 

1  364o 
13966 

14270 
14682 

i3o 
i3i 

l32 

i33 
i34 
i35 
1  36 

i37 
1  38 

i39 

n3o4 
11727 

12057 

12385 
12710 

11428 
1  1  760 
1  2090 
12418 
i2743 

11461 
11793 

I2I23 

i245o 

12775 

11494 
11826 
iai56 
12483 
12808 

n528 
11860 
12189 
12616 
1  2840 

u55i 
11893 

I22i>2 
12548 
12872 

11594 
11926 

12254 

12681 
12905 

11628 
11969 
12287 
ia6i3 
12937 

11661 
11992 

I232O 

12646 
12969 

2 

3 

4 
5 
6 

7 
8 

9_ 

37 
4 

7 
ii 
16 

'9 

22 
26 

3o 
33 

~X> 

3<! 

~4 
7 
1  1 

1  4 
18 

22 

26 

0 

134 

i3<>33 
1  3354 
13672 
13988 
i43oi 

i3o66 
1  3386 
i37o4 
1  4o  1  9 
14333 

13098 
13418 

i3735 
i4o5i 
i4364 

i3i3o 

i345o 
1  3767 
14032 
14395 

i3i62 

1  348  1 

i3799 
i4n4 
14426 

13194 
i35i3 
i383o 

i4i45 
i4457 

13226 

i3545 
1  3862 
14176 
14489 

1  32.58 
13577 
i3893 
14208 
i452o 

13290 
1  3609 
13926 
14239 
i455i 

.4o 
i4i 
142 
1  43 
1  44 

r46i3 
14922 
15229 
1  5534 
1  5836 

t4644 
i4953 
16269 
1  5  564 
1  5866 

14675 
14983 
15290 
15594 
i5897 

14706 
i5oi4 
1  53  20 
i5625 
15927 

i4737 
i5o45 
1  535  1 
1  5655 
16957 

14708 
15076 
1  538  1 
1  5685 
1  5987 

1  4799 
16106 
i54i2 
i57i5 
16017 

14829 
i5i37 
1  5442 
16746 
i6o47 

1  4860 
16168 
i5473 
16776 
16077 

14891 
16198 
i55o3 
16806 
16107 

2 

3 
4 
5 
6 

7 

6 
9 

i 

2 

3 

4 
5 
6 

7 
-  8 
g 

4 
7 
1  1 
i4 

18 

21 

25 

AS 

3  2 

~33 
1 

7 

10 

i3 

17 

20 
23 
26 
3r 

3 

7 

10 

id 
i  7 

20 
24 

27 

3. 

J32 
3 
6 

10 

i3 
;6 
19 

22 

!25 
|29 

1  45 
.4<> 

1*7 

i4U 

i4«; 

16137 
r6435 
16732 
17026 
17319 

16167 
1  6465 
16761 
17056 

i7348 

16197 
i6495 
16791 
17085 

17377 

16227 
i6524 
16820 
i7n4 
17406 

1  62  56 
i6554 
i685o 
17143 
i7435 

16286 
i6584 
16870 
17:73 
17464 

i63i6 
i66i3 
16909 
17202 
17493 

i6346 
i6643 
16938 
17231 
17622 

16376 
i6673 
16967 
1-7260 
I755-I 

16406 
16702 
16997 
17289 
17680 

i5o 
i5i 

152 

i53 
i54 

17609 
17898 
18184 
18469 
i8752 

17638 
17926 
i82i3 
18498 
18780 

17667 
17955 
18241 
18526 
18808 

17696 

i7984 
18270 
i8554 
i8837 

17725 
i8oi3 
18298 
i8583 
1  8865 

17754 
18041 
i8327 
18611 
i8893 

17782 
18070 
i8355 
i8639 
18921 

17811 
18099 
i8384 
18667 

i£o49 

17840 
18127 
18412 
18696 
189-77 

17869 
18166 
1  844  1 
18724 
19006 

1  55 
i56 

1  57 

1  58 
i59 

19033 
19312 
19590 
19806 

2Ol4o 

19061 
19340 
19618 
19893 
20167 

19080 
i9368 
19645 
19921 
20194 

19117 
19396 
19673 
19948 

20222 

19145 
19424 
19700 
19976 
20249 

19173 
i945i 
1972? 

2O<-o3 

20276 

19201 

$? 

20000 

2o3o3 

19229 
19607 
19783 
20068 
2o33o 

19267 
i9535 
19811 
2oo85 
2o358 

19286 
19662 
19838 

201  I  2 

ao385 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

TABLE  XXVI.             [P**«i 
Logarithms  of  Numbers. 

2 

| 

8 
9_ 

I 

3 

4 
5 

6 

8 
9 

31 

"1 
6 
9 

12 

1  6 

19 

23 

25- 
»» 

~si» 

~i 

6 
9 

12 

»5 

i? 

:4*J 

23 

9.8 

;W 

3 

6 
9 

i  3 

16 
;iS 

9.  B 
24 
27 

28 

'7 

6 
8 

1  2 

i4 
J7 
•>o 

^2 

2.5 

*AJ 

~3 
5 
8 

JO 

il 
16 
18 

9  3 

133 

24 
5 

7 
rt 
4 

iJ 

17 
r> 
>2 

^^ 
1 

4 
7 

9 
1  1 

1  3 
i5 
18 

90 

20 

4 

4 
6 
8 
10 

12 

i4 
16 
16 

flo.  1600  2200.        t              Log.  520412-  34242. 

No. 

:6o 
»6i 
162 
1  65 
1  64 

~i6T" 
166 
167 
1  68 

.69 

0 

1 

2 

3 

4 

5 

*> 

7 

8 

;  9 

2o4l2 

20683 
20952 

2I2IO 

21484 

2o439 
20710 
20978 

21245 

aiSii 

20466 
20737 

21005 

21272 
2i537 

20493 
20763 

21032 
21299 

21664 

20620 
20790 
21069 

21325 

21690 

2c>548 
20817 
21086 

21  352 

21617 

20676 
20844 

211  12 
21378 
21643 

20602 

?.<xH?, 

2  >  r  39 
21406 
21669 

20629 
20898 
21166 

2»43i 

2  3  696 

2o656 

209-.)  5 

2  J  I<;2 

2i458 
25722 

25986 
22246 

22606 

227J>3 

a3;.j  1  9 

2  1  748 

2  201  1 

22272 
2  253  1 

22789 

21775 
22037 

22298 

22557 

22814 

21801 

22063 
22324 

22583 
22840 

21827 
22089 

2235O 

22608 
22866 

2  1  854 
22116 
22376 
22634 
22891 

21880 

22l4l 
22401 
22660 
22917 

21906 
22l6> 

22427 
2268£ 
22943 

21932 
22194 
22453 
22712 
22968 

21968 
2222O 
22479 

22737 
22994 

170 

171 

172 
1  73 

174 

175 
176 
177 
.78 
179 

23o45 
233oo 
23553 
238o5 
a4o65 

23070 
23325 
23578 
2383o 
24080 

23096 
2335o 
236o3 
23855 
24106 

23I2I 

23376 
23629 
2388o 
24i3o 

23i47 
23401 
23654 
23oo5 
24166 

23l72 
23426 

23679 
23930 
24180 

23198 

23462 
23704 
23955 
24204 

23223 

23477 
23729 
23980 
24229 

23249 

23502 

23764 
24006 
24264 

239.  74 

2359.8 

23-779 
24«3o 

24279 

243o4 
24661 
24797 
25n4a 
25285 

24329 
24576 
24822 
26066 
253io 

24353 
24601 
24846 
26091 
25334 

24378 
24626 
24871 
26116 
25358 

244o3 
24660 
24896 
26139 
25382 

24428 
24674 
24920 
26164 
26406 

24462 
24699 
24944 
26188 
2  543  1 

24477 
24724 
24969 
26212 
25455 

24602 
24748 
24993 
26237 
26479 

24527 

^4773 
a5m  8 
269.61 
256<>3 

1  80 
181 
1  8?. 
1  83 
1  84 

25527 
25768 
26007 
26245 
26482 

2555i 

26792 
26o3i 
26269 
26606 

25575 
26816 
26066 
26293 
26629 

26600 
26840 
26079 
263  1  6 
26553 

26624 
26864 
26102 
26340 
26576 

26648 
26888 
26126 
26364 
26600 

26672 
26912 
26160 
26387 
26623 

26696 
26935 
26174 
26411 
26647 

26720 

26198 
26435 
26670 

a6744 
269*3 
26991 
2fi45fc 
26694 

T 

a 

4 

f 

6 

8 
9_ 

2 

a 
3 
4 
6 
£ 

I 

2. 

i 

2 

3 
A 
5 
6 

8 
9 

i 

2 

3 
4 
5 

6 

7 
8 

9 

27 

~3 

ts 

1  1 
M 

'9 

M 
25 

3 

5 
8 

10 

il 

?r> 
ib 

9J- 

2.'J 


3 

5 
7 
9 

12 

i4 
16 
18 

21 

~, 

4 
b 
8 
11 

33 

1  5 

17 
19 

1  85 
186 
187 
1  88 
189 
~7^o~ 
191 
192 
i93 
194 

26717 
26951 
27184 
27416 
27646 

26741 
26975 

27207 

27439 
27669 

26764 
26998 
27231 
27462 
27692 

26788 
2702  1 
27264 
27486 
27716 

2681  1 
27046 

27277 
27608 
27738 

26834 
27068 
27300 
2753i 
27761 

26868 
27091 
27323 

27664 
27784 

26881 
27114 
27346 

27677 
27807 

26906 

27i3« 
27370 
27600 
2783o 

*9? 

27jf>l 
27391 

2-693 
27852- 

27875 
28io3 
2833o 
28556 
28780 

27898 
28126 

28353 
28678 
288o3 

28^49 

2837D 

28601 
28826 

27944 
28171 
28398 
28623 
28847 

27967 
28194 
28421 
28646 
28870 

27989 
28217 
28443 
28668 
28892 

28012 
28240 
28466 
28691 
28914 

28o35 
28262 
28488 
28713 

28937 

28068 
28286 
28611 

98735 
28969 

28081 
283.  .-7 
28533 
28768 
98981 

<95 
196 

J97 
198 
199 

20003 

29226 
29447 
29667 
29885 

29026 
29248 
29469 
29688 
29907 

29048 
29270 
29491 
29710 

29929 

29070 
29292 
29613 

29732 
29961 

29092 
29314 
29535 
29764 
29973 

29116 
29336 
29667 
29776 
29994 

29137 
29358 
29679 
29798 
3ooi6 

29169 
2938o 
29601 
29820 
3oo38 

291  «Si 

294.  .3 
29693 
99842 
3oo6i  > 

99203 
99426 
•V>45 
;9<S63 
3ou8i 

200 
201 
202 
203 

204 

3oio3 
3o32o 
3o535 
30760 
30963 

3oi25 
3o34i 
3o557 
30771 
30984 

3oi46 
3o363 
3o578 
30792 
3  1  006 

3oi68 
3o384 
3o6oo 
3o8i4 
31027 

30190 

3o4o6 
30621 
3o835 
3io48 

3O2  I  1 

30428 

3o643 
3o856 
3  1  069 

30233 
3o449 
3o664 
30878 
31091 

30255 
3o47i 
3o685 
30899 

3lI12 

3o27«5 
30492 
30707 
30920 
3n33 

30298 
3o5i4 
30728 
30949. 
3ii54 

205 
2O6 
207 
208 
_209_ 
210 
211 
212 
2l3 

«4 

2l5 

216 
217 
218 

219 

No. 

3n75 
3i387 
3i597 
3i8o6 
32oi5 

31197 
3i4<>8 
3i6i8 
31827 
32o35 

3r2i8 
31429 
3i639 
3  1  848 
32066 

3  1  239 

3i45o 
3  1  660 
3  1  869 
32077 

3i26o 
3i4?i 

3i68i 
3i8oo 
32098 

3.281 
31492 
3  1  702 
3191  1 
32118 

3i3o2 
3i5i3 
3i723 
3i93i 
32139 

3i323 
3i534 
3  1  744 
31962 
3?  1  60 

3  1  345 
3  1  555 
3  1  766 
3i973 
32181 

3  1  366 
3  1  676 
3i785 
31994 

32201 

32222 

39.428 
32634 
32838 
33o.|i 

32243 
32449 
32654 
39858 
33o62 

32263 
39.469 
32676 
32879 
33o82 

32284 
32490 
32696 
32899 
33io2 

39.3o5 
32610 
32716 
3?9'9 

33l22 

32325 
3253i 
32736 
32940 
33i43 

32346 
32662 
32766 
32960 
33  1  63 

32366 
32672 
32777 
32980 
33i83 

32387 
32693 
32797 
33ooi 
33203 

.32408 

39.6i  3 
32818 
33o2i 
3329.4 
134^5 
33626 
33826 
34026 
34223 

33244 
33445 
336,(6 
33846 
34o44 

3  3  264 
33465 
33666 
53866 
34004 

33284 
33486 
33686 
33885 
34o84 

333o4 
335o6 
337o6 
33oo5 
34io4 

333-iS 
33520 
33726 
33926 

34i24 

33345 
33546 
33746 
33945 
34i43 

33365 
33566 
33766 
33o65 
34i63 

33385 
33586 
33786 
33o85 
34  1  83 

334o5 
336o6 
338o6 
34oo5 
342o3 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

rage  172]             TABLE  XXVI. 
Logarithms  of  Numbers. 

2 

i 

3 
4 
5 
6 

8 

9 

0 

2 

4 
6 
8 

10 
12 

i4 
iJ5 

18 

No.  2200  -2800.                      Log.  34242  44716. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

220 
221 
222 
223 
224 

34242 
34439 
34635 
3483o 
35025 

34-262 
3445o 
34655 
3485o 
35o44 

34282 
34479 
34674 
34869 
35o64 

343oi 
344o8 
34694 
34889 
35o83 

3432i 
345i8 
347  1  3 
34908 
35io2 

3434i 
34537 
34733 
34928 

35122 

3436i 
34557 
34753 
34947 
35i4i 

3438o 
34577 
34772 
34967 
35  160 

344oo 
345o6 
34792 
34986 
35.8o 

34420 
34616 
348n 
35oo5 
35199 

225 
22.6 
227 
228 
220_ 

23o 

23l 
232 

233 
234 

352i8 
354  1  1 
356o3 
35793 
35984 

352.38 
3543o 
35622 
358  1  3 
36oo3 

35257 
35449 
3564i 
35832 
36o2i 

35276 
35468 
3566o 
3585i 
36o4o 

35295 

35488 
35679 
35870 
36o59 

353  1  5 
355o7 
35698 
35889 
36078 

35334 
355^6 
357i7 
35908 
36097 

35353 
35545 
35736 
35927 
36n6 

35372 
35564 
35755 
35946 
36.35 

35392 

35583 
35774 
35965 
36.54 

36  1-3 
36  36  1 
36549 
36736 
36922 

36192 
3638o 
36568 
36754 
36940 

36211 
36399 

36586 
36773 
36959 

36229 
364  18 
366o5 
3679. 

36977 

36248 
36436 
36624 
368  10 
36996 

36267 
36455 
36642 
36829 
37014 

36286 
36474 
3666i 
36847 
37o33 

363o5 
36493 
3668o 
36866 
37u5i 

3632.4 
365ii 
36698 
36884 
37070 

36342 
3653o 
367i7 
36903 
37o88 

1 

i 

2 

3 
4 

6 

8 
9 

9 

2 

4 
6 
8 
10 

;; 

i5 

17 

235 
236 
2.37 
238 
239 

37107 
37291 
37475 
37658 
3784o 

37i25 
373io 
37493 
37676 
37858 

37i44 
37328 
375u 
37694 
37876 

37i62 
37346 
3753o 

377I2 

37894 

37i8i 
37365 
37548 
3773i 

379I2 

37i99 
37383 
37566 
37749 
3793i 

372i8 
37401 
37585 

37767 
37949 

37236 
37420 
37603 
37785 
37967 

37254 
37438 
37621 
378o3 
37985 

37273 
37457 
37639 
3-822 
38oo3 

240 
24  1 

242 
243 

•244 

38021 

38202 

38382 
3856i 
38739 

38o39 

38220 

38399 
38578 
38757 

38o57 
38238 
384  1  7 
38596 
38775 

38o-5 
38256 
38435 
386  1  4 
38792 

38093 
38274 
38453 
38632 
388  10 

38ii2 
38292 
3847i 
3865o 
38828 

38i3o 
383io 
38489 
38668 
38846 

38i48 
38328 
385o7 
38686 
38863 

38  1  66 
38346 
38525 
387o3 
3888  1 

38  1  84 
38364 
38543 
3872i 
38899 

18 

i 

2 

3 

4 

6 
8 

0 

2 

4 
5 

7 

9 
1  1 

i3 
i4 

rfi 

245 
246 

247 

248 
249 

389t7 
39o94 
39270 
39445 
89020 

38934 
39iu 
39287 
39463 
39637 

398u 
39985 
4oi57 
40329 
4o5oo 

38952 
39i29 
393o5 
3948o 
39655 

3897o 
39i46 
39322 
39498 
39672 

38987 
39.64 
3934o 
3o5t5 
3969o 

3ooo5 
39182 
39358 
39533 
397o7 

39o23 

3919? 
39375 
3955o 
39724 

39o4i 
392  1  7 
39393 
39568 
39742 

39o58 
39a35 
~394io 
39585 
39759 

39o76 

39252 

39428 
39602 

39777 

250 
25l 

252 

253 
254 

39794 
39967 
4oi4o 
4o3  1  2 
4o483 

39829 
40002 
4oi75 
4o346 
4o5  1  8 

39846 
40019 
40192 
4o364 
4o535 

39863 
4oo37 
40209 
4o38i 
4o552 

3988i 
4oo54 
40226 
4o398 
4o569 

J9898 
40071 
40243 
4o4i5 
4o586 

399i5 
40088 
40261 
4o43a 
4o6o3 

39933 

4o  1  06 
402-78 
4o449 
40620 

399:x> 
40123 
4o295 
4o466 
4o637 

37 

i 

2 

3 
4 
5 
6 

8 
9 

2 

3 
5 
7 
9 

10 
12 

i4 
i5 

255 

256 

257 

258 
_^2_ 
260 
261 
262 
263 
264 

4c>654 
4082.4 
40993 
4  1  162 
4i33o 

4o67i 
4o84i 
4ioio 
411-79 
4i347 

40688 
4o858 

4l027 

41196 
4  1  363 

4o7c5 
4oS75 
4io44 

4l2I2 

4i38o 

40722 
40892 

41061 
41229 
4i397 

4o739 
40909 
41078 
41246 
4i4i4 

40756 
4o926 
4io95 
4i263 
4i43o 

40773 
4o943 
4i  1  1  1 
41280 
4M47 

40790 
40960 
41128 
41296 

4  1  464 

40807 
40976 

4ii45 
4i3i3 
4i48i 

4  1  497 
4  1  664 
4i83o 
41996 
42.160 

4i5i4 
4i68; 
4i847 
42012 

42I77 

4i53i 
4i697 
4  1  863 

42029 

42i93 

4i547 
4i7i4 
4  1  880 
42045 
42210 

4  1  564 
4i73i 
4.896 
42062 
42226 

4i58i 
4i747 
4i9i3 
420-78 
422.43 

4i597 

4i764 
4i929 
42o95 

42259 

4i6i4 
41780 
41946 
421  1  1 
42275 

4i63i 
4i797 
41^3 
42127 

42292 

4i647 
4i8i4 
4i979 
42144 
423o8 

] 

i 

2 

3 

4 
5 
6 

1 
8 

9 

6 

2 

3 
5 
6 
8 
10 
ii 
i3 
r4 

265 
266 
267 
268 

269 

42325 
49.488 
4265  1 
42813 
42975 

42341 
425o4 
4266-7 
4283o 
42991 

4a357 

42521 

42684 
42846 

43oo8 

4a374 
42537 
42700 
42862 
43o24 

42390 
42553 
42-716 
42878 
43<>4o 

42406 
4257o 

42732 

42.894 
43o56 

42423 

42586 
42749 

429I  I 

43o72 

42439 
42602 
42765 
42927 
43o88 

42455 

4s6i9 
42781 
42943 
43io4 

424-72 
42635 

42707 

42959 

43  1  20 

270 
271 
272 

273 

274 

43  1  36 
43297 
43457 
436  1  6 
43775 

43  1  52 
433  1  3 
43473 
43632 
4379i 

43i69 
433-;9 
43489 
43648 
438o7 

43i85 
43345 
435o5 
43664 
43823 

43201 
4336i 
4352i 
4368o 
43838 

432  1  7 
45377 
43537 
43696 
43854 
44012 
44i7o 
443a6 
44483 
44638 

43233 
43393 
43553 
437i2 
4387o 

43249 
43409 
43569 
43727 
43886 

43265 
43425 
43584 
43743 
43oo2 

43281 
4344i 
436oo 
43759 
439i7 

1 

i 

2 

3 

4 
5 
6 

7 
8 
9 

5 

2 

3 
5 
6 
8 

9 
u 
ia 
i4 

275 
276 
277 
278 
279 

No. 

43933 
44091 
44248 
444o4 
4456c 

43949 
44io7 
44264 
44420 
44576 

43965 

44122 

442-79 
44436 
44592 

4398i 
44  1  38 
44295 
444  5  1 
446o- 

439o6 
44  1  54 
443  1  1 
44467 
44623 

44028 
44  1  85 
44342 
44498 
44654 

44o44 
44201 
44358 
445  1  4 
44669 

44o59 

4421-7 
44373 
44520 
44685 

44o75 
44232 
44389 
44545 
447<*o 

0 

2 

3 

* 

5 

6 

7 

8 

9 

i'ABLE  XXVI.                   [Page  173 

Logarithms  of  Numbers. 

i 

2 

3 

4 
5 
6 

8 

(y 

] 
I 
2 
3 

4 
5 
6 

8 

JL 

i 

2 

2 
4 

6 

7 
8 

9 

16 

2 

5 
6 
8 
10 
ii 
J3 

15 

2 

3 

iT 

e 

8 

9 
II 

12 

i4 

4 

i 
3 

4 
6 

"7 

8 

10 

ii 
i3 

No.  2800  3400.                      Log.  4471G  53148. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

280 
281 

283 
284 

44716 
4487i 
46026 
461-79 
45332 

4473  1 
44886 
45o4o 

45347 

44747 
44902 
45o56 
46209 
45362 

44762 
44917 
45o7i 
46226 
45378 

44778 
44932 
45o86 

45393 

44793 
44948 

452.55 
454o8 

44809 
44963 
45  1  17 
4527i 
45423 

44824 

45?33 
46286 
45439 

4484o 
44994 
45  1  48 
453oi 
45454 

44855 
45oio 
45  1  63 
453  1  7 
45469 

286 
286 
287 
288 
289 

291 
292 
293 
294 

45484 
45637 
45788 
45939 
46090 

455oo 
45652 
458o3 
45954 
46io5 

455  1  5 
45667 
458  1  8 
45o69 
46120 

4553o 
45682 
45834 
45984 
46i35 

45545 
45697 
45849 
46ooo 
46  [5o 

4556  1 
46712 
45864 
46oi5 
46  1  65 

45576 
46728 
45879 
46o3o 
4Ci8o 

4559i 
45743 
45894 
46o45 
46196 

456o6 
45758 
46909 
46060 
46210 

46621 
45773 
46924 
46o75 
46226 

46240 
46389 
46538 
46687 
46835 

46266 
464o4 
46553 
46702 
468  5o 

46270 
464  1  9 
46568 
46716 
46864 

46286 
46^34 
46583 
4673. 
46879 

463oo 

46449 
46598 
46746 
46894 

463  1  5 
46464 
466  1  3 
46761 
46909 

4633o 
46479 
4662  7 
46776 
46923 

46345 
46494 
46642 
46-790 
46938 

46359 
465o9 
46667 
468o5 
46953 

46374 
46523 

46672 
46820 
46967 

295 
296 

297 

298 

299 

46982 
47129 
47276 
47422 
47567 

46997 
47  1  44 
47290 
47436 
47682 

47012 

4/3o5 

4745  1 
47596 

4-7026 
47173 
473  1  9 
47465 
47611 

47o4  1 
47188 
47334 
4748o 
47626 

47066 
47202 
47349 
4/494 
47640 

47o7o 

472I7 

47363 
475o9 
4-654 

47378 
47524 
47669 

47100 
47246 

47538 
47683 

47261 
47407 
47553 
47698 

3oo 
3oi 

302 

3o3 
3o4 

47712 

48ooi 
48  1  44 
48287 

47727 
47871 
48016 
48i59 
483o2 

4774  1 
47885 
48o29 
48i73 
483  1  6 

47756 
47900 

48o44 

48i87 
4833o 

47770 

48o58 
48202 
48344 

4-7784 
4-7929 
48o-3 
48216 
48359 

47799 
47943 
48087 
4823o 
48373 

47958 
48101 
48244 
48387 

47828 
4-79-72 
48ii6 
48269 
484oi 

47842 
47986 
48i3o 
48273 
484  1  6 

3o5 
3o6 
3o7 
3o8 
3o9 

4843o 
48672 
487i4 
48855 
48996 

48444 
48586 
48728 
48869 
49oio 

48458 
486oi 

48883 
49024 

48473 
486  1  5 
48756 
48897 
49038 

48487 
48629 
4877o 
48911 
49062 

485oi 

48643 
48785 
48926 
49066 

485  1  5 
48657 
48799 
4894o 
49080 

4853o 
4867i 
488  1  3 
48964 
49094 

48544 
48686 
48827 
48968 
49108 

48558 
48700 
4884  1 
48982 
49122 

Co  Co  Co  Co  Co 

-fc^  Co  10  -i  O 

49i36 
49276 
494i5 
49554 
49693 

49160 
49290 
49429 
49668 
49707 

49164 

49443 
49682 
49721 

49178 

49457 
49696 
49734 

49192 
49332 

49610 
49748 

49206 
49346 
49485 
49624 
49-762 

49220 

49499 
49638 
49776 

49234 
49374 
49613 
4965i 
4979° 

49248 
49388 

49665 
498o3 

49262 
49402 
49641 
49679 
49817 

3i5 
3i6 
3i7 
3i8 
319 

4983i 
49969 
5oio6 
50243 
5o379 

49845 
49982 
60120 

60266 

49869 
49996 
5oi33 
602-70 
5o4o6 

49872 
60010 
5oi47 
60284 
60420 

49886 
60024 
60161 

5o433 

49900 
5oo37 
5oi74 
5o3n 
5o447 

49914 
60061 
60188 
5o325 
5o46r 

4992-7 
60066 
60202 
5o338 
5o474 

4994i 
5oo7o 
6021  5 
5o352 
60488 

49955 
60092 

50220 

5o365 
5o5oj 

1 
i 

2 

3 
4 
5 
6 
7 
8 

9_ 
1 

3 

r 
3 

4 
5 

8 
9 

10 
12 

2 

320 
321 
322 

323 
324 

5o5i5 
5o65i 
60786 
60920 
5io55 

60664 

60934 
61068 

5o54a 
5o678 
5o8i3 
6094-7 
61081 

5o556 
60691 
60826 
60961 
5io95 

60669 
5o7o5 
60840 
50974 
5  1108 

5o583 
60718 
5o853 
60987 
61121 

60696 
5o732 
60866 
5iooi 
5n35 

60610 
5o745 
60880 
61014 
5ii48 

60623 
60-769 
60893 
61028 
61162 

5o637 
60772 
60907 
5io4i 
61176 

325 
326 

327 

328 

329 

5u88 

5l322 

5i455 
61687 

5l2O2 

5i335 
5  1  468 
61601 
5i733 

61216 
5  1  348 
5i48i 
5i6i4 
5i746 

61228 
5  1  362 

$1627 

5i375 
5i5o8 
61640 
61772 

61266 
5  1  388 
61621 

5  1  654 
61786 

61268 

5  1  534 
5i667 
5  1  799 

61282 
5i4i5 
5  1  548 
5  1  680 
61812 

61296 
5i4a8 
61661 
61693 
61826 

5i3o8 
5i44i 
5i574 
61706 
5i838 

33o 
33  1 
332 
333 
334 

5i85i 
5i983 
62114 
62244 
52375 

5  1  865 
61996 
62127 

52388 

5ib78 
62009 

622-70 
62401 

61891 
62022 
62163 
62284 
62414 

5i9o4 
52o35 
62166 
62297 
62427 

5i9i7 
62048 
621-79 
523io 

61930 
62061 
62192 
52323 
52453 

5i943 
52o75 
62206 
52336 
62466 

61967 
62088 
62218 
62349 
62479 

61970 
62101 

52231 

62362 
62492 

2 

3 
4 
6 
0 
7 
8 
9 

i 

2 

4 
5 
6 

8 
10 
ii 

335 
336 
337 

338 

NoT 

52.634 
52763 
62892 
53o2o 

62617 
62647 
62776 
62906 
53o33 

5253o 
62660 
62-789 
529i7 
53o46 

52543 

52673 
62802 

53o58 

62666 
62686 

53071 

62669 
62699 
6282-7 
62966 
53o84 

62682 
62-711 
62840 
62969 
5309-7 

62696 
62724 
52853 
62982 
53iio 

62608 
62737 
62866 
62994 

53l22 

62621 
62760 
62879 
53oo7 
53i35 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

pa««174J             TABLE  XXVI. 
Logarithms  of  Numbers. 

j 

2 

3 

4 
5 
6 

8 
9 

3 

i 
3 
4 

8 
9 

10 
12 

No.  3400  4000.                      Log.  53148-  602C6. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

34o 
34i 
342 
343 
344 

53i48 
53275 
534o3 
53529 
53656 

53i6i 
53'288 
534  1  5 
53542 
53668 

53i73 
533oi 
53428 
53555 
5368i 

53  1  86 
533  1  4 
5344i 
53567 
53694 

53i99 
53326 
53453 
5358o 
537o6 

53212 

53339 
53466 
53593 
537i9 

53224 
53352 
53479 
536o5 
53732 

53237 
53364 
5349i 
536  1  8 
53744 

5325o 
53377 
535o4 
5363  1 

53757 

53263 
53390 
535i7 
53643 
53769 

345 
346 
347 
348 
349 

53782 
539o8 
54o33 
54  1  58 
54283 

53794 
53920 
54o45 
54i7o 
54295 

538o7 
53933 
54o58 
54  1  83 
543o7 

53820 
53945 
54070 
54i95 
54320 

53832 
53958 
54o83 
54208 
54332 

53845 
5397o 
54o95 
54220 
54345 

53857 
53983 
54  1  08 
54233 
54357 

5387o 
53995 
^4120 
54245 
5437o 

53882 
54oo8 
54  1  33 
542.58 
54382 

53895 
54020 
54i45 
542-70 
54394 

35o 
35  1 
352 
353 

354 

544o7 
5453  1 
54654 
54777 
54ooo 

54543 
54667 
54-790 
549i3 

54432 
54555 

54802 
54925 

54444 
54568 
5469i 
548i4 
54937 

54456 
5458o 
54704 
54827 
54949 

54469 
54593 
547i6 
54839 
54962 

5448i 
54605 
54728 
5485  1 
54974 

54494 
546i7 
5474i 
54864 
54986 

545o6 
5453o 
54753 
54876 
54998 

54518 
54642 
54765 
54888 
55ou 

1 
i 

2 

3 
4 
5 

6 

8 
1 

2 

3 

4 
5 
6 

8 
9_ 

It 

i 

2 

3 
4 

6 
8 

2 

i 

2 

4 
6 
8 

10 

ii 

1 
i 

3 
4 
6 

8 
9 

10 

> 

i 

2 

3 

4 

6 

8 
9 

355 
356 
357 
358 
359 

55o23 
55i45 
55267 
55388 

55o35 
55i57 
55279 
554oo 
55522 

55o47 
55i69 
5529i 
554  1  3 
55534 

55o6o 
55i82 
553o3 
55425 
55546 

55o72 
55i94 
553i5 
55437 
55558 

55o84 
552o6 
55328 
55449 
5557o 

55096 
552i8 
5534o 
5546i 
55582 

55io8 
5523o 
55352 
55473 
55594 

55i2i 

55364 
55485 
556o6 

55i33 
55255 
55376 
55497 
556  1  8 

36o 
36  1 
362 
363 
364 
"365 
366 
367 
368 
369 

5563o 
5575i 
5587i 
55991 
56uo 

55642 
55763 
55883 
56oo3 

56122 

55654 
55775 
55895 
56oi5 
56  1  34 

55666 
55787 
559o7 
56027 
56  1  46 

55678 
55799 
559i9 
56o38 
56  1  58 

5569i 
558n 
5593i 
56o5o 
56i7o 

557o3 
55823 
55943 
56o62 
56i82 

557i5 
55835 
55955 
56o74 
56i94 

55727 
55847 
55o67 
56o86 
56205 

55739 
55859 
55979 
56o98 
562  1  7 

56229 
56348 
56467 
56585 
567o3 

5624i 
5636o 
56478 
56507 
567i4 

56253 
56372 
564oo 
566o8 
56726 

56265 
56384 
56502 
56620 
56738 

56*77 
56396 
565  1  4 
56632 
5675o 

56289 
564o7 
56526 
56644 
5676i 

563oi 
564  1  9 
56538 
56656 
56773 

563  1  2 
5643  1 
56549 
56667 
56785 

56324 
56443 
5656  1 

56797 

56336 
56455 
56573 
5669i 
568o8 

co  co  co  Co  co 

JX  CO  (0  1-1  O 

56820 
56937 
57o54 

57171 
57287 

56832 
56949 
57o66 
57i83 
57299 

56844 
5696i 
57o78 
57i94 
573io 

56855 
56972 
57o8o 
57206 

57322 

56867 
56984 
57ioi 

572I7 

57334 

56879 
56996 
57u3 

57229 

57345 

5689i 
57oo8 
57i24 
5724i 
57357 

56902 
57oi9 
57i36 

57252 

57368 

569i4 

57i48 
57264 
5738o 

56926 
57043 
57i59 
57270 
57392 

375 
376 

377 

378 

379 

574o3 
575i9 
57634 
57749 
57864 

574i5 
5753o 
57646 
5776i 

57875 

57426 
57542 
57657 

57772 

57887 

57438 
57553 
57669 

57784 
57898 

5744? 
57565 
5768o 
57795 
579io 

57461 
57576 
57692 
578o7 

57473. 
57588 
577o3 
578i8 
57933 

57484 
576oo 
577i5 
5783o 
57944 

57496 
57611 

57726 
5784i 
57955 

575o7 
57623 
57738 
57852 
57967 

38o 
38  1 
382 
383 
384 
~385" 
386 
387 
388 
389 

58092 
58206 
58320 
58433 

5799o 
58io4 
582i8 
5833  1 

58444 

58ooi 
58n5 
58229 
58343 
58456 

58oi3 
58i27 
5824o 
58354 
58467 

58024 
58  1  38 
58252 
58365 

58478 

58o35 
58i49 
58263 
58377 
5849o 

58o47 
58i6i 
58274 
58388 
585oi 

58o58 
58i72 
58286 
58399 
585  1  2 

58o7o 
58  1  84 
58a97 
584  10 
58524 

58o8i 
58i95 

58422 
58535 

58546 
58659 
5877i 
58883 
58995 

58557 
58670 
58782 
58894 
5<?oo6 

58569 
5868  1 
58794 
589o6 
59017 

5858o 
58692 
588o5 
589i7 
59028 

5859i 
587o4 
588  1  6 
58928 
59o4o 

58602 
587i5 
58827 

59o5? 

586i4 
58726 
58838 
5895o 
59o62 

58625 
58737 
5885o 
5896i 
59073 

58636 
58749 
5886i 
58973 
59o84 

58647 
58760 
58872 
58984 
59°95 

39o 
3oi 

39a 

393 
394 

395 
396 
397 
398 
399 

59io6 
592i8 
59329 
59439 
5955o 

59118 

59229 

5934o 
5945o 

59i29 

5935i 
5946i 

59140 
5925i 
59362 
59472 
59583 

59i5i 

59262 

59373 
59483 
59594 

59i62 
59273 
59384 
59494 
59605 

59i73 
59284 
59395 
595o6 
596i6 

59i84 
59295 
594o6 
595i7 
5962-7 

59i95 
59306 
5941- 
59528 
59638 
59748 

59966 
60076 
60184 

59207 

5942.8 
59539 
69649 

59660 
5977o 

59879 
59986 
6oo97 

59671 
5978o 
59890 

59999 
60108 

5^2 

5979i 
599oi 
60010 
6on9 

59693 
59802 
59912 
60021 
6oi3o 

598i3 
59923 
6oo32 
6oi4i 

597i5 
59824 
59934 
6oo43 
60  1  52 

59726 
59835 
59945 
6oo54 
60  1  63 

59846 
59956 
6oo65 

60173 

59759 

59868 

60086 
6oi95 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

a 

TABLE  XXVI.                  [Page  175 

Logarithms  of  JN  umbers. 

No.  4000  4600.                 Log.  60206—  —66276. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

4oo 
4oi 

402 

4o3 
4o4 

~4o5 
4o6 
4o7 
4o8 
409 

60206 
6o3i4 
60423 
6o53i 
6o638 

60217 
6o325 
6o433 
6o54i 
60649 

60228 
6o336 
6o444 
6o552 
60660 

60239 
6o347 
6o455 
6o563 
60670 

60249 
6o358 
60466 

60574 
60681 

60260 
60369 

60477 
6o584 
60692 

60271 
60379 
60487 
6o595 
6070^ 

60282 
60390 
60498 
60606 
6o7i3 

60293 
6o'4oi 
60509 

606  1  7 
6072^ 

6o3o4 
60412 
6o52o 
60627 
6o735 

60746 
6o853 
6o959 
61066 
61172 

60756 
6o863 
60970 
61077 
6n83 

60767 
60874 
60981 
61087 
61194 

60778 
6o885 
60991 
61098 
61204 

60788 
6o895 
61002 
61109 
61215 

60799 
60906 
6ioi3 
61119 

6l22D 

60810 
60917 
61023 
6ii3o 
6i236 

60821 
6092-7 
6io34 
61  i4o 
6i247 

6o83i 
60938 
6io45 
6n5i 
6i257 

60842 
60949 
6io55 
61  162 
61268 

4io 
4n 
412 
4r3 
4i4 

61278 
6  1  384 
61490 
6i595 
61700 

61289 
61393 
6i5oo 
61606 
61711 

6i3oo 
6i4o5 
6i5ii 
61616 
61721 

6i3io 
61416 
6i5ai 
61627 
61731 

6i3ai 
61426 
6i532 
6i637 
61742 

6i33i 

6i437 
6  1  542 
6  1  648 
6i752 

6i342 
6  1  448 
6i553 
6i658 
6i763 

6i352 
6i458 
6  1  563 
61669 
61773 

6  1  363 
6  1  469 
6i574 
61679 
61784 

6  1  374 
61479 
61  584 
61690 
61794 

4i5 
4i6 
4i7 
4i8 
419 

6i8o5 
61909 
62014 
62118 
62221 

6i8i5 
61920 
62024 
62128 
62232 

61826 
61930 
62034 
62i38 
62242 

6i836 
61941 
62045 
62149 
62252 

61847 
61951 
62055 
62159 
62263 

6i857 
61962 
62066 

62I70 

62273 

61868 
61972 
62076 
62180 
62284 

61878 
61982 
62086 
62190 
62294 

61888 
6i993 
6209-7 
62201 
62304 

61899 
62003 
62107 
6221  1 
623  1  5 

420 
421 
422 
423. 
424 
425 
426 
427 
428 
429 

62325 
62428 
62  .53  1 
62634 
62787 

62.335 
62439 
62542 
62644 

62747 

62346 
62449 
62552 
62655 
62757 

62356 
62459 
62562 
62665 
62767 

62366 
62469 
62572 
62675 
62778 

62377 

62480 

62583 
62685 
62.788 

62387 
62490 
62593 
62696 
62798 

62397 
62500 
62603 
62706 
62808 

62408 
625n 
62613 
627i6 
62818 

62418 
62521 
62624 
62726 
62829 

62839 
6294. 
63o43 
63  1  44 
63246 

62849 
6295  1 
63o53 
63  1  55 
63256 

62859 
62961 
63o63 
63  1  65 
63266 

62870 
62972 
63o73 
63i75 
63276 

62880 
62982 
63o83 
63  1  85 
63286 

62890 
62992 
63094 
63i95 
63296 

62900 
63oo2 
63io4 
632o5 
633o6 

62910 
63oi2 
63n4 
632  1  5 
633  1  7 

62921 

63O22 

63  1  24 
63225 
63327 

62931 
63o33 
63  1  34 
63236 
63337 

43o 
43i 

432 
433 
434 
435 
436 
437 
438 
439 
44o 
44  1 
442 
443 
444 

63347 

63/48 
63548 
63649 
63749 

63849 
63949 
64o48 

64  1  47 
64246 

63357 
63458 
63558 
63659 
63759 

63367 
63468 
63568 
63669 
63769 

63377 
63478 
63579 
63679 
63779 

63387 
63488 
63589 
63689 
63789 

63397 
63498 
63599 
63699 
63799 

63407 
635o8 
63609 
63709 
63809 

634  1  7 
635i8 
636  1  9 
63719 
638  1  9 

63428 
63528 
63629 
63729 
63829 

63438 
63538 
63639 
63739 
63839 

63859 
63950 
64658 

64  1  57 
64256 

63869- 
63969 
64068 
64167 
64266 

63879 
63979 
64078 

64177 
64276 

63889 
63988 
64088 
64i87 
64286 

b3899 
63998 
64o98 
64197 
64296 

639oo 
64oo8 

64  1  08 
64207  1 
643o6 

639i9 
64oi8 
64u8 
64217 
643  1  6 

63929 
64028 
64128 
64227 

64326 

63939 
64o38 
64*37 
64237 

64335 

64345 
64444 
64542 
6464o 

64738 

64355 
64454 
64552 
6465o 

64748 

64365 
64464 
64562 
6466o 
64758 

64375 
64473 
64572 
64670 
64768 

64385 
64483 
64582 
6468o 

64777 

64395 
64493 
6459r 

64689 
64787 

644o4 
645o3 
6460  1 
)4699 
64797 

644  1  4 
645  1  3 
646  1  1 
64709 
648o7 

64424 
64523 
64621 
64-719 
648  1  6 

64-<34 
54532 
6463  1 
64729 
64826 

445 
446 
447 
448 
449 

64836 
64933 
65o3i 
65  128 
65225 

64846 
64943 
)5o4o 
65i37 
65234 

64856 
64953 
65o5o 
65  1  47 
65244 

64865 
64963 
65o6o 
65  1  57 
65254 

64875 
64972 
65070 
65  1  67 
65263 

64885 
64982 
65079 
65  1  76 
65273 

64895 
64992 
65089 
65  186 
65283 

64904 
6  5  oo  2 
65099 
65  1  96 
65292 

649  1  4 
65<>u 
65  108 
652o5 
65302 

04924 
65o2i 
65n8 
652  1  5 
653  1  2 

45o 
45  1 
452 
453 
454 

6532i 
654  1  8 
655i4 
656  io 
65706 

65  33  1 
65427 
65523 
656  1  9 
657i5 

6534i 
65437 
65533 
65629 
65725 

6535o 

65447 
65543 
65639 
65734 

6536o 
65456 
65552 
65648 
65744 

65369 
65466 
65562 
65658 
65753 

b337Q 
65475 
6557i 
65667 
65763 

65389 
65485 
6558i 
65677 
65772 

65398 
65495 
65591 
65686 
6578a 

654o8 
655o4 
656oo 
65oo6 
65792 

455 
456 
457 
458 

J5?._ 
No. 

658oi 
658o6 
65992 
66087 
66181 

0 

658  1  1 
65906 
66001 
66096 
66191 

65820 
65916 
66011 
66106 
66200 

6583o 
65925 
66020 
66n5 
66210 

65839 
65935 
66o3o 
66124 
66219 

65849 
65944 
66o39 
66  1  34 
66229 

65858 
65954 
66o4o 
66i43 
662.38 

65868 
65963 
66o58 
66i53 
6624-7 

65877 
65973 
66068 
66162 
66257 

65837 
6598a 
66077 
66172 
66266  _ 

1 

2 

3 

4 

5 

6 

7 

8 

9 

9  ! 


Pas«  1761             TABLE  XXVI. 
Logarithms  of  JNuniDers. 

1 

2 

3 

4 
5 
6 

8 
9 

2 

3 

4 
5 
6 

7 
8 

i 

2 

3 
4 
5 
6 

7 

6 

I 

—  .-« 

2 

3 
4 

6 
8 

r\ 

\ 

2 

3 

4 

5 

e 

8 

B 

i 

2 
2 
3 

5 
5 

6 

7 

No.  4GOO  5200.                   Log.  G6376  71GOO. 

No. 
~46o~ 
461 
462 
463 
464 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

66276 
663  70 
66464 
66558 
66652 

66286 
6638o 
66474 
66567 
66661 

66295 
66389 
66483 
66677 
66671 

663o4 
663o8 
66492 
66586 
66680 

663  1  4 
664o8 
66602 
665o6 
66689 

66323 
66417 
665  1  1 
666o5 
66699 

66332 
66427 
66621 
666  1  4 
66708 

66342 
66436 
6653o 
66624 
66717 

6635  1 
66445 
66539 
66633 
66727 

6636i 
66455 
66549 
66642 
66736 

465 
466 
467 
468 
469 

66745 
66839 

66932 
6702.6 
67117 

66755 
66848 
6694  1 
67034 

67127 

66764 
66867 
66960 
67043 
67136 

66773 
66867 
66960 
67062 
67146 

66783 
66876 
66969 
6-7062 
67i54 

66792 
66885 
66978 
67071 
67164 

66801 
66894 
66987 
67080 
67i73 

66811 
66904 
66997 
67089 
67182 

66820 
669  1  3 
67006 
67099 
67191 

66829 
66922 
67oi5 
67108 
67201 

470 
471 

472 
473 
474 
476 
476 

477 
479 

48  1 
482 
483 
484  . 
"485 
486 
487 
488 
489 

490 
491 

492 
493 
494 
496 
496 
497 
498 
499 
5oo 
5oi 

502 

5o3 
5o4 
5o5 
606 
607 
608 
609 

67  2  I  O 
67302 
67394 
67486 
67678 

67219 
67311 

674o3 

67496 
67687 

67228 
6732i 
674i3 
67604 
67696 

67237 
6733o 

67614 
67606 

67247 
67339 
6743i 
67623 
67614 

67266 
67348 
67440 
67532 
67624 

6-7266 
67357 
6-7449 
6754i 
67633 

67274 
67367 
67459 
67660 
67642 

67284 
67376 
67468 
67660 
6765i 

6-7293 
67385 
67477 
67569 
67660 

67669 
67761 
67862 
67943 

68o34 

67679 
67770 
67861 
67962 
68o43 

67688 
67779 
67870 
67961 
68062 

67697 
67788 
67879 
67970 
68061 

67706 
67797 
67888 
67979 
68070 

67716 
67806 
67897 
67988 
68079 

67724 
678  1  5 
67906 

67997 
68088 

67733 
67826 
67916 
68006 
68097 

67742 
67834 
67926 
6801  5 
68106 

67-762 
67843 
6-7934 
68024 
68116 

68124 
68216 
683o5 
68395 
68485 

68  1  33 
68224 
683  1  4 
684o4 
68494 

68142 
68233 
68323 
684  1  3 
68602 

68161 
68242 
68332 
68422 
685  1  1 

68160 
68261 
6834i 
6843  1 
68520 

68169 
68260 
6835o 
6844o 
68629 

68178 
68269 
68359 
68449 
68538 

68187 
68278 
68368 
68458 
68547 

68196 
68287 
68377 
68467 
68556 

68206 
68296 
68386 
684-6 
68565 

68674 
68664 
68753 
68842 
68931 

68583 
68673 
68762 
6885i 
68940 

68692 
68681 
68771 
68860 
68949 

68601 
68690 
68780 
68869 
68968 

68610 
68699 
68789 
68878 
68966 

68619 
68708 
68797 
68886 
68976 

68628 
68717 
68806 
68896 
68984 

68637 
68726 
688  1  5 
68904 
68993 

68646 
68735 
68824 
689i3 
69002 

68655 
68744 
68833 

68922 

69oii 

69020 
69108 
69197 
69286 
69373 

69028 
69117 
69206  • 
69294 
6938i 

69037 
69126 
69214 
69302 

6939° 

69046 
69i35 
69223 
69311 
69399 

69066 
69144 
69232 
69320 
69408 

69064 
69162 
692.41 
69329 
69417 

69073 
69161 
69249 
69338 
69426 

"69613 
69601 
69688 
69776 
69862 

69082 
69170 
69268 

69434 

69090 

69179 
69267 
69355 
69443 

69099 
69188 

69364 
69462 

69461 
69648 
69636 

69723 
69810 

69469 
6955-7 
69644 
69732 
69819 

69478 
69666 
69653 
69740 
69827 

69487 
69674 
69662 
69749 
69836 

69496 
69683 
69671 
69768 
69845 

69604 
69692 
69679 
69767 
69854 

69622 
69609 
69697 
69784 
69871 

6953i 
69618 
69706 
69793 
69880 

69539 
69627 
69714 
69801 
69888 

70070 
70167 
70243 

69906 
69992 

70079 
70  1  65 
70262 

69914 

7000  1 
70088 
70174 
70260 

69923 
70010 
70096 
70  1  83 
70269 

69932 
70018 
70106 
70191 

70278 

69940 
70027 
70114 
70200 
70286 

69949 
7oo36 
70122 
70209 
70296 

69968 
70044 
70i3i 
70217 
7o3o3 

69966 
70063 
70140 
70226 
7o3i2 

69976 
70062 
70148 
70234 
70321 

70329 
704  1  5 
70601 
70686 
70672 

7o338 

70424 
70609 
70696 
70680 

70346 
70432 
70618 
70603 

70689 

70355 
7o44  1 
70626 
70612 
70697 

70364 
70449 
7o535 
70621 
70706 

70372 
70458 
7o544 
70629 
70714 

7o38i 
70467 
7o552 
7o638 
70723 

70389 
70476 
70661 
70646 
70731 

70398 
70484 
-70669 
70666 
70740 

70406 
70492 
70678 
7o663 
70749 

C  M  «  ro  xr  m  to  r--oo  O 

m  m  m  m  m  jm  m  «n  m  m 

70767 
70842 
70927 
71012 
71096 

70766 
70861 
70935 
71020 
71106 

70774 
70869 
70944 
71029 
7iu3 

7o783 
70868 
70962 
71037 

71  122 

70791 
70876 
70961 
71046 
7ii3o 

70800 
70886 
70969 
71064 
71139 

70808 
7o893 
70978 
7io63 
71147 

70817 
70902 
70986 
71071 
71166 

70826 
70910 
70996 
71079 
71164 

70834 
70910 

7ioo3 
71088 
71172 

71181 
71266 

7^33 

71617 

71189 
71273 
7i357 
7i44i 
71626 

71198 
71282 
7  1  366 
71460 
7i533 

71206 
71200 
71374 

7i458 
-71642 

71214 
71299 
7  1  383 
71466 
71660 

71223 
71307 
71391 
71476 
71669 

71231 
7i3i5 
71399 
7i483 
71667 

71240 

7i4o8 
71492 

71676 

712.48 
7i332 
71416 
71600 
71684 

71267 
7i34i 
71426 
71608 
71692 

No. 

0 

1 

« 

3 

4 

5 

6 

7 

8 

9 

TABLE  XXVI.                  [Page  177 

Logarithms  of  Numbers. 

T 

2 

3 

4 
5 
6 
7 

8 

_9_ 

~T 

2 

3 

1 

I 

9 

9 

i 

2 

3 

4 
5 
5 
6 

8 

8_ 
i 

2 

2 

3 

4 

6 

7 

No.  5200  5800.                      Log.  71600  76343. 

No. 

520 
521 
522 

523 
624 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

•71600 
•71684 
•71767 
7i85o 
71933 

71609 
71692 
71775 
7  1  858 
7i94i 

71617 
71700 
71784 
71867 
71950 

71625 
71709 
71792 
7i875 
7i958 

7i634 
71717 
71800 
7i883 
71966 

•71642 

7I725 

•71809 
•71892 
71976 

71660 
71734 
71817 
71900 
71983 

71669 
71742 
71826 
71908 
71991 

71667 
71760 
7i834 
71917 
71999 

71676 
71769 
71842 
71926 
72008 

626 
626 

527 
528 
529 

72016 
•72099 
•72181 
•72263 
72.346 

72024 
72107 
72189 
72272 
72354 

72O32 

72115 
72198 
72280 
72362 

72041 
72123 

72206 
72288 
72.370 

72049 

72l32 

72214 
72296 

72378 

72057 

•72140 
•72222 
72304 
72387 

72066 
72148 

72230 

723i3 
72395 

72074 
72166 

72239 

72321 
724o3 

72082 
72166 
7224-7 
72329 
72411 

7200X) 

72173 
72255 
72337 

724i9 

53o 
53  1 
532 
533 
534 
~535~ 
536 
537 
538 

5^9 

72428 

•72509 
•72591 
72673 
7275/» 

72436 
725i8 
72599 
72681 
72-762 

72444 
72526 
72607 
72689 

72770 

72452 
72534 
72616 

72697 
72779 

•72460 

72542 

•72624 

72705 

72787 

•72469 
72660 
72632 

727l3 

72-796 

72477 
72668 
72640 
72-722 
728o3 

72486 
72667 
72648 
7273o 
72811 

72493 
72676 
72666 
72738 
•72819 

725oi 

72583 
72666 
72746 
72827 

7-835 
72916 
7^997 
78078 
73i59 

•/2843 
72925 
73oo6 
73o86 
73  1  67 

72852 
72933 
73oi4 
73094 
73i75 

72860 
72941 

73o22 
73lO2 

73i83 

•72868 
-72949 

73o3o 
73ui 
73191 

72.8-76 
72967 
73o38 
73119 
73i99 

•72884 
-72966 
73o46 
73127 
73207 

72892 

72973 

73o54 
73i35 
732i5 

•72900 
7298i 
73o62 
73i43 
73223 

72908 
72989 
73o7o 
73i5i 
7323i 

54o 
54  1 
54? 
543 
544 
545" 
546 

547 
548 
549 

73239 
73320 
734oo 
7348c 
7356o 

73247 
73328 
734o8 
73488 
73568 

73255 
73336 
734i6 
73496 
73576 

73263 
73344 
73424 
735o4 
73584 

732-72 
73352 
73432 
735i2 
73592 

7328o 
7336o 
7344o 
7352o 
736oo 

73288 
73368 
73448 
73528 
736o8 

73296 
73376 

73456 
73536 
736i6 

733o4 
73384 
73464 
73544 
73624 

733i2 
73392 
73472 
73552 
73632 

7364o 
73-719 

73799 
73878 
73957 

73648 

73727 
738o7 
73886 
73965 

73656 
73735 
738i5 
73894 
73973 

73664 

73743 
73823 
•73902 
7398i 

73672 
7375i 
7383o 
739io 
73989 

73679 
73759 
73838 
739i8 
73997 

73687 
73767 
73846 
73926 
74oo5 

73695 

73775 
73854 
73933 
74oi3 

737o3 
73783 
73862 
73941 
74020 

73711 
73791 
7387o 

73949 
74028 

55o 
55i 
552 
553 
554 

74o36 
74n5 
74194 
74273 
7435i 

74o44 
74i23 
•74202 
7428o 
74359 

74o52 
74i3i 
74210 
74288 
74367 

74060 
74i39 
74218 
74296 

74374 

74o68 

74M7 

74225 

743o4 
74382 

74o76 
74  1  55 
74233 
743  1  2 
7439o 

74o84 
74162 
7424i 
7432o 
74398 

74o92 
74170 
74249 
74327 
744o6 

74o99 
74i78 
74257 
74335 
744  1  4 

74107 
74  1  86 
74266 
74343 
7442i 

555 
556 
557 
558 
559 

•74429 
745o7 
74586 

74663 
7474i 

74437 
745  1  5 
74593 
74671 
74749 

74445 
74523 
746oi 
74679 

74757 

74453 
7453i 
•74609 
74687 
74764 

7446i 
74539 
746i7 
74695 

74772 

74468 
74547 
74624 

74702 
74780 

74476 
74554 
74632 
747io 
74788 

74484 
74662 
7464o 
747i8 
74796 

74492 
7457o 
74648 
74726 
748o3 

745oo 
74578 
74656 
74733 
748ii 

; 

2 

3 

4 
5 
6 

j 

9 

r 

i 
i 

2 
O 
\J 

4 

4 

5 
6 
6 

56o 
56  1 
562 
563 
564 

•74819 
748o6 
749-74 
75o5i 
75i28 

74827 
74904 
74981 
75o59 
75  1  36 

74834 
74912 

74989 
75o66 
75i43 

•74842 
•74920 
74997 
75o-4 
76161 

7485o 

74927 

75oo5 
•76082 
75i59 

74858 
74935 
76012 
75o89 
75i66 

74865 
74943 
76020 
76097 
76174 

74873 
7495o 
76028 
75io5 
76182 

74881 
74958 
75o35 
75n3 
75i89 

74889 
74o66 
75o43 

75l2O 

75i97 

76274 
7535  1 
75427 
755o4 
7558o 

565 
566 
567 
568 
569 

752.o5 
76282 

75358 
75435 
755ii 

752i3 
75289 
75366 
75442 
75519 

75220 
75297 
75374 
7545o 
75526 

76228 
753o5 
7538  1 
75458 
75534 

76  a  36 
753i2 
75389 
75465 
75542 

75243 
7532o 
76397 
75473 
75549 

76261 
75328 
754o4 
76481 
75557 

76259 
75335 
76412 
75488 
75565 

•76266 
75343 
•76420 
75496 
75572 

b7o 
57i 

572 

573 
574 

75587 
75664 

7574o 
758i5 
76891 

75595 
7567i 
75747 
75823 
75899 

756o3 
7567Q 
75755 
7583t 
75906 

756io 
76686 
76762 
75838 
76914 

756i8 

75694 
7577o 
75846 

7592I 

76626 
76702 
76778 
75853 
76929 

75633 
76709 
76786 
76861 
75937 

7564i 
76717 
76793 
75868 
75944 

75648 
76724 
76800 
76876 
76962 

75656 
75732 
•76808 
76884 
76969 

575 
576 

5-77 
578 
579 

7^967 
76042 
76118 
76193 
76268 

75974 
76o5o 
76125 
76200 
762-75 

75982 
76067 
76  1  33 
76208 
76283 

76989 
76o65 
76i4o 
•762  1  5 
•76290 

75o97 

70072 

76i48 
•76223 
•76298 

76006 
76080 
76166 
76230 
763o5 

76012 
76087 
76i63 
76238 
763  1  3 

76020 
76096 
76170 
76245 
76320 

76027 
76103 
76178 
76263 
76328 

8 

76o35 
76110 
76186 
762/x> 
76335 

No. 

0  ,   1 

2 

3 

4 

5 

6 

7 

9 

Pa«e  178J             TABLE  XXVI. 
Logarithms  of  Numbers. 

8 

No.  5800  6400.                      Log.  76343  80618. 

No. 

~58o~ 
58  1 

58a 
583 

584 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

76343 
76418 
76492 
76567 
76641 

7635o 
76425 
76500 
76574 
76649 
"76723 
76797 
76871 
76945 
77019 

76358 
76433 
765o7 
76582 
76656 

76365 
7644o 
765i5 
76589 
76664 

76373 
76448 

76522 

76597 
76671 

7638o 
76455 
7653o 
76604 
76678 

76388 
76462 
76537 
76612 
76686 

76395 
76470 
76545 
76619 
76693 

76403 

76477 
7655a 

76626 
76701 

76775" 
76849 
76923 
76997 
77070 

76410 
76485 
76559 
76634 
76708 

a 
3 

4 
5 
6 

7 
8 

i. 

i 

2 

3 

4 
5 
6 

8 
9 

i 

i 
t 
3 

4 

6 
6 

7 

2 

3 

4 
4 

6 

6 

585 
586 
587 
588 
589 
590 
691 

592 

593 
594 

76716 
767-90 
76864 
76938 
77012 

7673o 
76805 
76879 
76953 

77026 

76738 
-76812 
76886 
76960 

77034 

76745 
76819 

76893 
76967 

7704l 

76753 
76827 
769oi 
76975 
77048 

76760 
76834 
76008 
769-82 
77056 

76768 
76842 
76916 
76989 
77063 

77137 
77210 
77283 

77357 
7743o 

76782 
76856 
7693o 
77004 
77078 

77o85 
77i59 
77232 
773o5 
77379 

77093 
77166 
77240 
773  1  3 
77386 

77100 
77173 
77247 
77320 
77393 

77107 
77181 
77254 
77327 
77401 

77II5 
77188 
77262 
77335 
77408 

77122 

77195 
77269) 
77342 
774i5 

77129. 
77203 
77276 
77349 
77422 

77144 
77217 
77291 
77364 

77437 

77i5i 

77225 
77298 
77371 
77444 

595 
596 
597 
598 
599 

77452 
77525 
77597 
77670 
77743 

77459 
77532 
77605 

77677 
7775o 

77466 
77539 
77612 
77685 

77757 

77474 
77546 
776i9 
77692 

77764 

7748i 
77554 
77627 
77699 

77772 

77488 
7756i 
77634 
77706 

77779 

77495 
77568 
7764i 

777i4 
77786 

775o3 
77576 
77648 
77721 
77793 

775io 
77583 
77656 
77728 
77801 

77517 
77590 
77663 

77735 
77808 

600 
60  1 
602 
6o3 
J5o4 
60  5 
606 
607 
608 
6o9 
610 
611 
612 
6i3 
6i4 

•'•78  1  5 
77887 
7796o 
78032 
78104 
78T76" 

78247 
783i9 
7839o 
78462 

77822 
77895 
77967 
78039 
78111 

7783o 
77002 
77974 
78046 
78118 

77837 
77909 
77981 
78o53 
78125 

77844 
779i6 
77988 
78061 
78  1  32 

7785i 
77924 
77996 
78068 
78140 

77859 
7793i 
78oo3 
78o75 
78i47 

77866 
77938 
78010 
78082 
78i54 

77873 
77945 
78017 
78089 
78161 

77880 
77952 
78025 
78097 
78168 

78i83 
78254 
78326 
78398 
78469 

--HI  9o 
78262 

^8333 

784o5 
78476 

78197 
78269 
7834o 
78412 
7&483 

78204 
782^6 
78347 
78419 
78490 

78211 
78283 
78355 
78426 
78497 

78219. 

78200 
78362 
78433 
785o4 

78226 
78297 
78369 
7844o 
785i2 

78233 
783o5 
78.376 

78447 
78519 

78240 
783  1  2 
78383 
78455 
78526 

78533 
78604 
78675 
78746 
78817 

7854o 
78611 
78682 
78753 
78824 

78547 
78618 
78689 
78760 
7»83  1 

78554 
78625 
78696 
78767 
78838 

7856i 
78633 

78704 
78774 
78845 

78569 
7864o 
78711 
78781 
78852 

78576 

78647 
78718 
78789. 
78859 

78583 
78654 
78726 

78-796 
78866 

78590 
78661 
78732 
788o3 
78873 

78597 
78668 
78739 
78810 
78880 

6i5 
616 
617 
6r8 
6i9 

78888 
78958 
79029 

79°99 
79'D'9 

78895 
78965 
79<>36 
79  1  06 
79176 

78902 
78972 
79<"'43 
79113 
79i83 

78909 
78979 
79050 
79120 
79190 

789i6 
78086 

79°57 
79J27 

79  '97 

78923 
78993 
79064 
79i34 
79204 

7893o 
79000 
79°7i 
79i4i 
792H 

78937 
79007 
79078 
79148 
79218 

78944 
79014 
79085 
79i55 
7ga5 

7895  1 
70021 
79092 
79162 

792.32 

( 

i 
i 
3 
4 
5 
6 
7 
8 

.i 

5 

i 

i 

2 
2 

3 

4 
4 

1 

620 
621 
622 
623 
624 

79239 

793o9 
793/9 
79449 
795i8 

79246 
793i6 
79386 
79456 
79525 

79253 
79323 

79393 
79463 
79532 

•79260 
7933o 
79400 
79470 
79539 

79267 
79337 
79407 

79477 
79546 

79274 
79344 
794i4 
79484 
79553 

•79281 
7935i 
•79421 
•79491 
•79560 

79288 
79358 
79428 
79498 
79567 

79295 
79365 
79435 
795o5 
79574 

79802 

79372 
79.442 

795ll 

7968  1 

6u5 
626 

627 
628 
629 

79588 
79657 
79727 
79796 
79865 

79595 
79664 
79734 
798o3 
79872 

79602 
79671 

7974  1 
79810 
79879 

79609 
79678 
79748 
79817 
79886 

796i6 
79685 
79754 
79824 
79893 

796?.3 
79692 
7976i 
7983i 

799°o 

7963o 

79699 
79768 

79837 
-79906 

79637 
79706 
79775 
79844 
799  1  3 

79644 
79.71  3 
79782 
7985i 
79920 

7965o 
70720 
79789 
79858 
79927 

63o 
63i 
632 
633 
634 

79934 
8ooo3 
80072 
8oi4o 

80209 

79941 
80010 
80079 
80  1  47 
80216 

79948 
80017 
8oo85 
80  1  54 
80223 

79955 
80024 
80092 
80161 
80229 

79962 
8oo3o 
8oo99 
80168 
80236 

79969 
80037 
80106 
8oi75 
80243 

79975 
8oo44 
8on3 
80182 
8o25o 

79982 
8oo5i 
80120 
80188 
80267 

18SI 

80127 
80195 
80264 

79996 
8oo65 
80  1  34 
80202 
80271 

635 
636 
637 

638 
639 

80277 
8o346 
8o4i4 
80482 
8o55o 

80284 
8o353 
80421 
8o489 
8o557 

8029I 

8o359 
80428 
8o496 
8o564 

80298 
8o366 
8o434 
8o5o2 
80570 

8o3o5 
8o373 
8o44i 
8o5o9 
8o577 

8o3i2 
8o38o 
8o448 
8o5i6 
8o584 

8o3i8 
8o387 
8o455 
8o523 
80691 

8o325 
8o393 
80462 
8o53o 
8o5o8 

8o332 
8o4oo 
8o468 
8o536 

80604 

8o339 
80407 
80476 
8o543 
80611 

No. 

0 

1 

2  ]  3 

4 

5 

6 

7 

8    9 

TABLE  XXVI.                   [Page  179 

Logarithms  of  Numbers. 

No.  6400  7000.                     Log.  80618  84510. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

640 
64  1 
642 
643 
644 

80618 
80686 
80754 

80821 
80889 

80626 
8o693 
80760 
80828 
8o895 

8o632 
80699 
80767 
8o835 
800^)2 

8o638 
8o7o6 
8o774 
80841 
8o9o9 

8o645 
8o7i3 
8o78i 
80848 
80916 

80662 

80720 

8o787 
8o855 
80922 

8o659 
80-726 
80794 
80862 
8o929 

80666 
80733 
80801 
80868 
80936 

80672 
8o74o 
80808 
80876 
8o943 

8o679 
8o747 
808  1  4 
80882 
8o949 
81017 
81084 
81161 
81218 
81286 

645 
646 
647 
648 
649 

80956 
81023 
81090 
81168 
81224 

8oo63 
8io3o 
8io97 
8n64 
8i23i 

8o969 
81037 
81104 
81171- 
8  1  238 

8o976 
8io43 
81111 
81178 
81245 

80983 
8io5o 
81117 
81184 
81261 

80900 
81067 
81124 
81191 
81268 

80996 
81064 

8ii3i 
81198 
81266 

8ioo3 
81070 
8ii37 
81204 
81271 

81010 
81077 
8n44 
81211 
81278 

65o 
65  1 
652 

653 
654 

81291 
81  358 
81426 
81491 
8i558 

81298 
8  1  365 
8i43i 
81498 
8  1  564 

8i3o5 
81371 
8  1  438 
81606 
81671 

8i3n 
8i378 
8  1  445 
81611 
8i578 

co  m  «  co  xr 
>-i  co  m  i-  oo 
oo  oo  xx  m  m 

CO  OO  00  CO  CO 

8i325 
81891 
8i458 
8162.5 
81691 

8i33i 

8i398 
8i465 
8i53i 
81698 

co  m  «  co  xx 
oo  o  r~-oo  c 
oo  xxxrm  ^o 

CO  GO  CO  CO  00 

8  1  345 
8i4n 
81478 
8i544 
81611 

•-.  co  m  i-<  r- 
m  -H  co  m  « 
oo  xx  xx  in  -o 

CO  OO  OO  CO  OO 

655 
656 
657 
658 
659 

8162.4 
81690 
8i757 
81823 
81889 

8i63i 
81697 
8i763 
81829 
81896 

8i637 
8i7o4 
8i77o 
8  1  836 
81902 

8i644 
8i7io 
8i776 
81842 
8i9o8 

81661 

8I7I7 
81783 

81849 
81916 

8i657 
8i723 
8i7oo 
81856 

8l92I 

81664 
8i73o 
81-796 
81862 
81928 

81671 
8i737 
8i8o3 
81869 
8i935 

81677 
8i743 
81809 
81876 
81941 

8i684 
8i75o 
81816 
81882 
8i948 

660 
661 
662 
663 
664 

8i954 
82020 
82086 
82161 
82217 

81961 
82027 
82092 
82168 
82223 

81968 
82033 
82099 
82164 

82230 

8i974 
82040 
82106 
82171 
82236 

81981 
82046 
82112 

821-8 
82243 

8i987 
82063 
82119 
82184 
82249 

81994 
82060 
82126 
82191 
82266 

82.000 
82066 

82132 

82197 
82263 

82007 
82073 
82i38 
82204 
82269 

82334" 
82400 
82466 
8253o 
82696 

82014 

82079 

82145 

82210 

82276 

665 
666 
667 
668 
669 

82282 
82347 

82478 
82543 

82289 
82354 
82419 
82484 
82649 

82296 
82.360 
82426 
82491 
82666 

82620 
82686 
8275o 
82814 
82879 

82802 
82367 
82432 
82497 
82662 

823o8 
82373 
82439 
82604 
82669 

823i5 

82380 
82445 
82610 
826-76 

82321 

82387 
82462 
82.6  1  7 
82682 

82.328 
82393 
82458 
82623 
82688 

82341 
82406 

824-1 

82536 
82601 

67o 
671 

672 

673 
674 

82607 
82672 
82737 
82802 
82866 

82614 
82679 
82743 
82808 
82872 

82627 

82692 
82-766 
82821 
82886 

82633 
82698 
82763 

82827 

82892 

82640 
82-706 
82769 
82834 
82898 

82646 
82711 
82776 
82840 
82906 
82969 
83o33 
83o97 
83i6i 
832*5 

83353 

834i7 
8348o 
83544 

82653 
82718 
82782 

82911 

82669 
82724 
82789 
82853 
82918 

82666 
8273o 
82795 
82860 

675 
676 
677 
678 
679 

82930 
82996 
83o59 
83i23 
83  1  87 

82937 
83ooi 
83o65 
83  1  29 
83i93 

82943 
83oo8 
83o72 
83  1  36 
832oo 

82960 
83oi4 
83o78 
83i42 
832o6 

82966 
83o2o 
83o85 
83i49 
832i3 

82963 
83027 
83091 
83i55 
83219 

82976 
83o4o 
83io4 
83  168 
83232 

82982 
83o46 
83uo 
83  1  74 
83238 

82988 
83o52 
83ii7 
83i8i 
83245 

680 
68  1 
682 
683 
684 

8325  1 
833  1  5 
83378 
83442 
835o6 

833  2  1 
83385 
83448 
835i2 

83264 
83327 
8339i 
83455 
835i8 

8327o 
83334 
83398 
8346i 
83525 

83276 
8334o 
834o4 
8346- 
8353i 

83283 
83347 
834  10 
83474 
83537 

83  2  96 
83359 
8342.3 
83487 
8355o 

83302 
83366 
83429 
83493 
83556 

833o8 
83372 
83436 
83499 
83563 

685 
686 
687 
688 
689 

83569 
83632 
88696 

83822 

83575 
83639 
83702 
83765 
83828 

83582 
83645 
837o8 
8377i 
83835 

83588 
8365  1 
8371$ 

83778 
8384  1 

83594 
83658 
8372i 
83784 
83847 

836oi 
83664 
83727 
8379o 
83853 

83607 
83670 
83734 
83797 
8386o 

836  1  3 
83677 
83740 
838o3 
83866 

83620 
83683 
83746 
838o9 
83872 

83626 
83689 
83753 
838i6 
83879 

690 
691 
692 
693 
694 
695" 
696 

097 
698 
699 

83885 
83948 
84oii 
84073 
84  1  36 

83891 
83954 
84017 
84o8o 
84  1  42 

83897 
83960 
84023 
84o86 
84  1  48 

83904 
83967 
84029 
84092 
84i55 

83910 
83973 
84o36 
84o98 
84i6i 

839i6 
83979 
84042 
84io5 
84i67 

83923 
83985 
84o48 
84m 
84i73 

83929 
83992 
84o55 
84117 
84  180 

83935 
83998 
84061 
84i23 
84  1  86 

83942 
84oo4 
84o67 
84i3o 
84  1  92 

84  1  98 
84261 
843a3 
84386 
84448 

84206 
84267 
8433o 
843o2 
84454 

84211 

84273 
84336 
84398 
8446o 

842  1  7 
84280 
84342 
844o4 
84466 

3 

84223 
84286 
84348 
844  10 

8423o 

84292 

84354 
844i7 
84479 

84236 
84298 
8436i 
84423 
84485 

84242 
843o5 
84367 
84429 
84491 

84248 
843  1  1 
84373 
84435 
84497 

84266 
843  1  7 
84379 

84442 
845o4 

No. 

0 

1 

2  I 

4  1  5 

6 

7 

8 

9 

**•»'«>]             TABLE  XXVI. 
Logarithms  of  Numbers. 

i 

2 

3 

4 
5 
6 

7 
8 

_2. 

i 

2 

3 

4 
5 
6 

8 
_9 

i 
i 

2 

3 

4 
5 
5 

8 
9_ 

7 

i 

' 

2 

3 
4 
4 
5 
6 
6 

—  -*t 

\ 

2 
2 

3 
4 
4 
5 
5 

--  -* 

» 

i 

a 

2 

3 
3 
4 

4 

No.  7000  7600.                      Log.  34510  88081. 

No. 

0 

1 

2 

3 

4 

5 

6  !  7 

8 

9 

700 
701 
702 
7o3 

704 
70  5 
706  • 

7«7 
708 
709 

845  10 
84572 
84634 
84696 

845i6 
84578 
84640 
84702 
84763 

84522 
84584 
84646 
84708 
84770 

84528 
84590 
84652 
847i4 
84776 

84535 
84597 
84658 

84720 
84782 

8454i 
846o3 
84665 
84726 
847'88 

84547 
846o9 
8467i 
84733 
84794 

84553 
846  1  5 
84677 
84739 
84800 

84559 
84621 
84683 
84745 

84566 
84628 
84689 

848  1  3 

84819 
84880 
8^942 
'85003 
85o65 

85187 
852.48 
853o9 

85370 

84825 
84887 
84948 
85009 
85o7i 
1$5T72" 
85193 
85254 
853  1  5 
8  53  76 

8483  1 
848o3 
84954 
85oi6 

85o77 

84837 
84899 
84960 

85022 

85o83 

84844 
84905 
84967 
85o28 
85089 

8485o 
84911 
84973 
85o34 
85o95 

84856 
849  i  7 
84979 
85o4o 
85ioi 

84862 
84924 
84985 
85o46 
85  1  07 

84868 
84930 
84991 
85o52 
85ii4 

84874 
84936 
84997 
85o58 
85i2o 

710 
711 
712 
7«3 

7|4_ 

7\6 

717 
718 

719 

85  1  38 
85  1  99 
8526o 
8532.1 
85382 

85443" 
855o3 
85564 
85625 
85685 

85  1  44 
852o5 
85266 

85327 
85388 

85i5o 
85an 

85272 

85333 
85394 

85i56 
85217 
85278 
85339 
854oo 

85x63 

85224 
85285 
85345 
854o6 

85  1  69 
8523o 
8529i 
85352 
854i2 

85i75 
85236 
85297 
85358 
854  18 

85i8i 
85242 
853o3 

85364 
85425 

G543i 
85491 
85552 
856  1  2 
85673 

85437 
85497 
85558 
856i8 
85679 

85449 
855<>9 
85570 
8563  1 
85691 

85455 
855i6 
85576 
85637 
85697 

8546  1 
85522 
85582 
85643 
85703 

85467 
85528 
85588 
85649 
857o9 

85473 
85534 
85594 
85655 
857i5 

85479 
8554o 
856oo 
8566  1 
8572i 

85485 
85546 
856o6 
85667 

85727 

•720 
721 

-22 
123 

724 

85733 
85794 
85854 
85914 
85974 

85739 
858oo 
8586o 
85920 
8598o 

85745 
858o6 
85866 
85926 
85986 

8575i 
858i2 
85872 
85932 
85992 

85757 
858  1  8 
85878 
85938 
85998 

85763 
8582.4 
85884 
85944 
86004 

85769 
8583o 
8589o 
8595o 
86010 

85775 
85836 
85896 
85956 
86016 

85781 
85842 
85902 
85962 
86022 

85788 
85848 
859o8 
8  5968 
86028 

726 

727 
728 
729 

86o34 
86094 
861  53 
862  1  3 
86273 

86o4o 
86100 
86i59 
86219 
86279 

86o46 
86106 
861  65 
86225 
86285 

86o5a 
86112 
86171 
8623i 
8629i 

86o58 
86118 
86i77 
86237 
86297 

86064 
86124 
86  1  83 
86243 
863o3 

86o7o 
86i3o 
86i89 
86249 
863o8 

86o76 
86  1  36 
86i95 
86255 
863  1  4 

86082 
86i4i 
86201 
86261 
86320 

86088 
86147 
86207 
86267 
86326 

73o 

73  1 

732 

733 

734 

86332 
86392 
864  5  1 
865  10 
8657o 

86338 
86398 
86457 
865  1  6 
865-6 

86344 
864o4 
86463 
86522 
8658i 

8635o 
864io 
86469 
8652.8 
86587 

86356 
864  1  5 
86475 
86534 
86593 

86362 
86421 
8648  1 
8654o 
86599 

86368 
86427 
86487 
86546 
866o5 

86374 
86433 
86493 
86552 
86611 

8638o 
86439 
86499 
86558 
86617 

86386 
86445 
865o4 
86564 
86623 

735 
736 

737 
738  • 

86629 
86688 

86747 
86806 
86864 

86635 
86694 
86753 
86812 
86870 

8664  1 
86700 
86759 
86817 
86876 

86646 
867o5 
86764 
86823 
86882 

86652 
86711 
86770 
86829 
86888 
"86977 
87oo5 
87o64 

87I22 
87181 

86658 
86717 
86776 
86835 
86894 

86664 
86723 
86782 
86841 
869oo 

"86558" 
87017 
87o75 
87  1  34 
87192 

86670 
86729 
86788 
86847 
86906 

86676 
86735 
86794 
86853 
86911 

86682 
86741 
86800 
86859 
86917 

74o 

74i 

742 

743 
744 

8692.3 
86982 
87040 
87099 

86929 
86988 
87046 
87105 
87  '63 

^22," 

87280 
87338 
873o6 
87454 

86935 

87052 
87111 
87169 

8694i 
86999 
87058 
87116 
87175 

86953 
87011 
87070 
87128 
87186 

86964 
87023 
87081 
87140 
87198 

86970 
87029 
87087 
87  1  46 
87204 

86976 
87o35 
87o93 
87i5i 
87210 

745 
746 
747 
748 
749 

87216 
87274 
87332 
87390 

87448 

87227 
87286 
87344 
87402 
87460 

87233 

87349 
8-7408 
87466 

87239 

87297 
87355 
874i3 
87471 

87245 
873o3 
87361 
87419 

87477 

8725i 
873o9 
87367 
87425 
87483 

87256 
873i5 
87373 
8743  1 
87489 

87262 
87320 

87379 
87437 
87495 

87268 
87326 
87384 
87442 
87500 

75o 
75  1 
752 
753 
754 

875o6 
87564 
81622 
87679 

87737 

87512 

8757o 
87628 
87685 

87743 

87518 
87576 
87633 
87691 
87749 

87523 
87581 
87639 
87697 
87754 

87529 
8-587 
87645 
87703 
87760 

87535 
875o3 
8765i 
877o8 
87766 

8754i 
875o9 
87656 
87714 

87772 

87547 
87604 
87662 
87720 

87777 

87552 
87610 
87668 
87726 
87783 

87558 
87616 
87674 

87789 

755 
756 

758 

87853 

87910 
87967 
88024 

0 

87800 
87858 
879  1  5 
87973 
88o3o 

1 

87806 
87864 
87921 
87978 
88o36 

87812 
87869 
87927 
87984 
88041 

87818 
87875 
87933 
87990 
88047 

87823 
8788i 
87938 
87996 
88o53 

87829 
87887 
87944 
88001 
88o58 

8/835 
67892 
87950 
88007 
88064 

87841 
87898 
87955 
880  1  3 
88070 

87846 
87004 
87961 
88018 
88076 

No. 

2 

3 

4 

5 

6 

7 

8 

9 

TABLE  XXVI.                  tl'age  181 

Logarithms  of  Numbers. 

No.  7600  8200.                      Log.  8S08]—  —  91381. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

760 
761 
762 

763 
?64 
765 
766 
767 
768 
769 

88081 
88  1  38 
88i95 
88252 
88809 

88o87 
88  1  44 
88201 
88268 
883  1  5 

88093 
88160 
88207 
88264 
88321 

88098 
88  1  56 
88213 
88270 
88326 

88104 
88161 
88218 
88276 
88332 

88no 
88167 
88224 
88281 
88338 

88.16 
88.73 
88a3o 
88287 
88343 

88121 
88.78 
88235 
88*92 
88349 

88127 
88.84 
88241 
88298 
88355 
8847?r 
88468 
88626 
8858  1 
88638 

88.33 
88.90 
8824-7 
883o4 
8836o 

•88366 
88423 
8848o 
88536 
88593 

8o372 
88429 
88485 
88542 
88698 

88377 
88434 
88491 
88547 
88604 

88383 
8844o 
88497 
88553 
88610 

88389 
88446 
88602 
88669 
886  1  5 

88395 
8845. 
885o8 
88564 
8862  1 

884oo 
8845? 
885  1  3 
88670 
88627 

88406 
88463 
885  1  9 
88676 
88632 

884  1  7 
88474 
8853o 
88687 
88643 

770 

77i 
772 
773 
774 

88649 
887o5 
88762 
88818 
88874 

88655 
887i  i 
88-67 
88824 
88880 

88660 
88717 
88773 
88829 
88885 

"8894? 
88997 
89053 
89109 
89166 

88666 
88722 
88779 
88835 
88891 

88672 
88728 
88784 
88840 
88897 

88677 
88734 
88790 
8S846 
88902 

88683 
88739 
88795 
88862 
88908 

88689 
88745 
88801 
88867 
88918 

88694 
8875o 
88807 
88863 
88919 

88700 
88-56 
88812 
88868 
88926 

775 
776 
777 
778 
779 

88930 
88986 
89042 
89098 
89  1  54 

88986 

88992 
89048 
89104 
89.69 

88947 
89003 
89069 
89116 
89170 

88953 
89009 
89064 
89120 
89i76 

88968 
89014 
89070 
89126 
89.82 

88964 
89020 
89076 
89181 
89.8-7 

88960 
89026 
89081 
89.  37 
89.93 

88976 
8908  1 
89087 
89143 
89198 

88981 
89087 
89092 
89.48 
89204 

780 
781 
782 
783 
784 
"785 
786 
787 
•788 
789 

89209 
89265 
8932i 
89376 
89432 

89216 
8927i 
89326 
89382 
89437 

89221 

892-76 
89332 
89387 
89443 

89226 
89282 
89337 
89393 
89448 

89282 
89287 
89343 
89398 
89454 

89237 
892.93 
89348 
89404 
89459 

89243 
89298 
89354 
89409 
89465 

89248 
89304 
8936o 
894  1  5 
894-70 

89264 
89310 
89865 
89421 
89476 

89260 
893i5 
8987: 

69426 
89481 

89487 
89542 

895?7 
89653 
89708 

89492 
89648 
896o3 
89668 
897i3 

89498 
89553 
89609 
89664 
89719 

89604 
89669 
89614 
89669 
89724 

89609 
89664 
89620 
89675 
8973o 

89616 
89670 
89626 
89680 
89735 

89620 

89575 
8963  1 
89686 
8974i 

89626 
89681 
89686 
89691 
89746 

8953i 
89386 
89642 

89697 
89762 

89587 
89692 
89647 
89702 
89757 

79° 
791 
792 
793 
794 

89763 
898  1  8 
89873 
8992-7 
89982  , 

89768 
89823 
89878 
89933 
89988 

89774 
89829 
89883 
89938 
89993 

89779 
89834 
89889 
89944 
89998 

89785 
89840 
89894 

89949 

90004 

89790 
89845 
89900 
89966 
90009 

897c;6 

89861 
89906 

89960 
900.5 

89801 
89866 
8991. 
89966 
90020 

898o7 
89862 
89916 
89971 
90026 

89812 
89867 
89922 

89977 
9008  . 

795 
796 
797 
798 
799 

9oo37 
9009  1 
90146 
90200 
90255 

90042 
90,097 
90161 
90206 
90260 

90048 

90  1  02 

9oi57 
9021  1 
90266 

90063 
90108 
90162 
90217 
90271 

90069 
901  1  3 
90168 
90222 
902-76 

90064 
90?  19 
90173 
90227 
90282 

90069 
9012.4 
901-79 

902.33 

9028-7 

90070 

90129 
90  .  84 
90288 

90293 

90080 
9o.35 
90189 
90244 
90298 

90086 
90140 
90.96 
902.49 
9o3o4 

OO  CO  OO  CC'  OO 

o  o  o  o  o 

-ts  CO  1O  >-i  O 

90309 
9o363 
904  1  7 
90472 
90526 

903  1  4 
90869 
90423 

90477 
9063  1 

90320 
903  74 
90428 
90482 
90536 

9o325 
90880 
90434 
90488 
90642 

9o33i 
9o385 
90439 
90493 
9o54v 

90886 
90390 

90446 
90499 
90553 

90342 

9(5896 

9o45o 
9o5o4 
00668 

90347 
9o4oi 
90455 
90609 
90  563 

90362 
9040-7 
90461 
906  1  5 
90669 

903  58 

904  .  2 
90466 
9o55.0 
9o574 

8o5 

806 
807 
808 
809 

~8io~ 
811 
812 
8i3 
8x4 
~E7T 
816 
817 
818 
819 

90680 
90634 
90687 
90741 
90-793 

oo585 
90639 
90693 
90747 
90800 

90690 
90644 
90698 
90752 

90806 

90696 
90660 
90703 
90767 
9081  1 

90601 

9o655 
90709 
90763 
90816 

90607 
9066(3 
90714 
90768 
90822 

906  1  2 
90666 
90720 
90778 
90827 

906.7 
90671 
90726 

9"779 
90832 

90623 
90677 
90780 
90784 
90888 

90628 
90682 
90786 
90780 
90843 

90849 
90902 
90966 
91009 
91062 

908^4 
90907 
90961 
91014 
91068 

91  i  21 
9II74 
QI228 
91281 

9  1  334 

90869 
909.3 
90966 
91020 
9io73 

90866 
90918 
90972 
91026 
91078 

90870 
90924 
90977 
91080 
91084 

90876 
90929 
90982 
9io36 
91089 

90881 
90934 
90988 
91041 
91094 

90886 
90940 
90998 
91046 

91  TOO 

90891 
90945 
90998 
91062 
91  106 

9o897 
90950 

91004 
oio57 
91110 

911  16 
91169 
91222 
912-76 
91328 

91  126 
91  1  80 
91233 
91286 
9i339 

91  132 

91186 

910.38 
91291 
9i344 

9.  i37 
91190 
912.43 
91297 
91,350 

91  142 
91196 
91249 
9.302 
9.355 

9Il48 
9T20I 
91954 

9.307 
9.36o 

91153 
91  2O6 
9.269 
9l3l2 

91  365 

91168 
912,2 
91  2o:j 
91818 
9i3?i 

91164 
91217 
912.70 
9i323 
91^6 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

p^ld*J             TABLE  XXVI. 

Logarithms  of  Numbers. 

6 

i  i 

i\i 

4   2 

5  3 

6  4 
7  4 
8  5 
9i5 

No.  8200  8800.                      Log.  91381  94448. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

820 
821 
822 
8a3 
824 

9i3Si 
9i434 
91487 
9r54o 
91693 

9i387 
91440 
91492 
9i545 
9,598 

91392 
9i445 
91498 
9i55i 
9i6o3 

9[397 
9i45o 

9i5o3 
9i556 
91609 

9i4o3 

9i455 
9.5o8 
9.56i 
91614 

91408 
9,461 
915,4 
9,566 
9,6,9 

9i4i3; 
9,466 
9i5i9 
91572 
9,624 

91418 

91471 
91624 
91677 
9i63o 

91424 

9'477 

9,629 
9,682 

9,635 

9,429 

9,482 
9,535 
9,687 
9,640 

825 

826 
827 
828 
829 

9i645 
91698 
91751 
91803 
9i855 

9i65i 
91703 
91756 
91808 
91861 

9i656 
91709 
91761 
91814 
91866 

91661 
91714 
91766 
91819 
91871 

91666 
91719 
91772 
9182.4 
91876 

9,672 
9,724 
9!777 
91829 
91882 

9,677 
9,73o 
91782 
9,834 
9,887 

9,682 
91735 
91787 
91840 
91892 

91687 

9,74o 
91793 

9,845 
9,897 

91693 

91745 
9,798 
9.85o 
91903 

83o 
83  1 
832 
833 
834 

91908 
91960 

920  I  2 
92065. 

92  1  1  7 

91913 
9i965 
92018 
92070 
92122 

91918 
91971 
92023 
92075 
92127 

9.924 
91976 
92028 
92080 
92.32 

91929 
9198, 
92.o33 
92085 
92187 

91934 
91986 
92038 
92091 
92,43 

91989 
91991 
92044 
92096 
92148 

91944 
9  '997 
92.o49 

92IOl 

92  1  53 

9  .  95o 
92002 
92064 
92  1  06 
92  1  58 

9.955 

92007 
92069 
92.  .  i 
92  i'63 

i 
i 

2 

3 

4 
5 
6 

7 

8 

9 

i 
i 

2 

3 
4 
5 
6 

8 

9 

i 
i 
;J 
2 

3 
3 
4 
4 
5 

t 

0 

i 

2 
} 

2 

3 

3 
4 

835 
836 
837 
838 
839 

92  1  69 
92221 
92273 
92324 
92376 
92428 
92.480 
92  53  1 
92583 
9^.634 

92174 
92226 
92278 
92380 
92381 

92.179 
92  2.3  1 
92283 
92335 
92387 

92184 
92286 
922.88 
92340 
92392 

92i89 

922.4l 
92293 

92345 
92397 
92449 
92.5oo 

92552 

926o3 

92655 

92195 
92247 
92298 
9235o 
92402 

92200 
92262 
92304 
92355 

92407 

92206 
92267 
92309 
92361 
92412 

92210 
92262 
92314 
92366 
924,8 

92  2  1  •) 

92267 

923,9 

9287. 

92423 

84o 

84  1 
842 
843 
844 

92.433 
92485 
92536 
92  588 
92689 

92438 
92490 
92542 
92.593 
92645 

92448 
9M95 
92547 
92.598 
92650 

92454 
92.5o5 
92557 
92609 
92.660 

92459 
9261  1 
92662 
926,4 
92666 

92464 
92616 
92667 
926,9 
92670 

92469 
92621 
92672. 
92624 
926-76 

92474 

92626 

92678 

92620 

92681 

845 
846 
847 
848 
849 

92686 

92737 
92788 
92840 
92891 

92691 
92742 
92793 

92845 
92896 

92696 

92747 
92799 
9285o 
92901 

92701 
92.752 
92804 
92855 
92906 

927G5 

92758 
92809 
92860 
92911 

92711 

92763 
92814 
92865 
92916 

92716 
92768 
92819 
92870 
92921 

92722 
9-773 
92824 

92876 
92927 

92727 
92778 
92829 
92881 
92982. 

92732 

92783 
92834 
92886 
92937 

85o 

85i 
852 
853 
854 

92942 
92993 
93o44 
08095 
93  1  46 

92947 
92998 
98049 
93  100 

93i5i 

92952 
98003 
93o54 
98  1  o5 
98  1  56 

92957 
98008 
93o59 
93  1  10 
98161 

92962 
93oi3 
93o64 
93ii5 
98166 

92967 
o3oi8 
93o69 

93l20 

98171 

92973 
98024 
98076 
93i25 
93i76 

92978 
98029 
93080 
93i3i 
93181 

92983 
93o34 
93o85 
98  1  36 
93,86 

9s988 
93o39 
93090 
93.4i 
93i92 

855 
856 
857 
858 
859 

93.97 

98247 
93298 
93349 
93399 

98202 
98252 
933o3 
93354 
934o4 

98207 
93258 
98808 
93359 
93409 

98212 
93268 
98813 
93364 
934i4 

93217 
98268 
933i8 
93369 

98420 

93222 
93273 
93323 
93374 
93425 

93227 
98278 
93828 

93379 
9343o 

93232 

93a83 

93334 
93384 
93435 

932.37 
98288 
93339 

93389 

9344o 

98242 
93293 
93344 
93394 
93445 

860 
861 
862 
863 
864 

9345o 
935oo 
9355i 
98601 
9365  1 

93455 
935o5 
93556 
98606 
93656 

9346o 
935io 
9356i 
98611 
98661 

93465 
935i5 
98  566 
98616 

98666 

98470 
98520 
98571 
93621 
9367  1 

93475 
9352.6 
93576 
98626 
93676 

9348o 
9353i 
9358i 
9363i 
98682 

93485 
93536 
93586 
93636 
93687 

9349o 
9354i 
9359i 
9364i 
93692 

93495 
93546 
93596 

93646 
93697 

865 
866 
867 
868 
869 

98-02 
93752 
98802 
9385a 
93902 

93707 
98757 
98807 
93857 
98907 

93712 
93762 
98812 
98862 
98912 

98717 
98767 
98817 
98867 
98917 

98722 
98772 
98822 
98872 
98922 

9872.7 
93777 
93827 
93877 
93927 

93732 
93782 
93832 
93882 
98982 

93737 
93787 
93837 
93887 
93937 

93742 
93792 
93842 
93892 
93942 

98747 
93797 
98847 
9,8897 
939^7 

8  TO 

Pvi 

872 

8-73 
874 

939.52 
94002 
940  5  2 
94  1  o  i 
94i5i 

98957 
94007 
94057 
94  1  06 
94i56 

98962 
94012 
94062 
94  u  i 
94161 

98967 
1  94<>i7 
94067 
94.  16 
94i66 

98972 
94022 
94072 
94.21 
94i7i 

93977 
94027 
94077 
94,26 
94,76 

98982 
94o32 
94082 
94i3i 
94.81 

98987 
94o37 
94086 
94.36 
94i86 

93992 
94042 
94o9, 
94i4i 
94i9i 

93997 
94o47 

94096 
94,46 
94196 

875 
?y5 

87? 
3-8 
879_ 

No. 

94201 

942.5o 
94800 

94349 
94399 

94206 
94255 
943o5 

94354 
944o4 

94211 
94260 
94810 
94359 
94409 

2 

942.6 
942.65 
943,5 
94364 
944.4 

9422I 

9427o 
9432o 
94369 
94419 

94226 
94275 
94325 
94374 
94424 

94231 
94280 
9433o 
94879 
94429 

94236 
94286 
94335 
94384 
94433 

94240 

94290 

9434o 
94389 
9443& 

94245 
94*96 
04345 
94394 

94443 

0 

1 

3 

4 

5 

6 

7 

8  |  9 

8 

TABLE  XXVI.                  IPage  183 

Logarithms  of  Numbers. 

No.  8800  9400.                      Log.  94448  9731  3. 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

880 
88  1 
882 
883 
884 

94448 
94498 
94547 
94596 
94645 

94453 
o45o3 
94552 
94601 
9465o 

94458 
94507 
94557 
946o6 
94655 

94463 
945i2 
9456a 
946i  i 
9466o 

94468 
945i7 
94567 
94616 
94665 

94473 
94522 
9457i 
94621 
946-70 

94478 
94527 
94576 

94675 

94483 
94532 
94581 
9463o 
94680 

94488 
94537 
94586 
94635 
94685 

94734" 
94783 
94832 
94880 
9492.9 

94493 
94542 
9459, 
9464o 
94689 

885' 
886 
887 
888 
889 

94694 

94-792 
9484i 
9489o 

94699 

94748 
94797 
94846 
94895 

947o4 
94753 
948o2 
9485i 
94900 

947oo 

9480-7 
94856 
94905 

947i4 
94763 
94812 
94861 
94910 

94-719 
94-768 
948  1  7 
94866 
94915 

94-724 
94773 
94822 
9487i 
94919 

94729 

94778 

94876 
94924 

94787 
94836 
94885 
94934 

890 
891 

892 

893 
894 
895 
896 

897 
898 
899 

94939 
94988 
95o36 
95o85 
95i34 

94944 
94993 

95090 
95i39 

94949 
94998 

95095 

95i43 

94954 
95002 
95o5i 
95  1  oo 
95  1  48 

94959 
95007 

95o56 
95io5 
95  1  53 

94963 
95012 
95o6  1 
95  1  09 
95i58 
95207 
95255 
953o3 
95352 
95400 

94968 
96017 
96066 
95  1  14 

95022 
95071 
95119 

95i68. 

94978 
95o27 
96075 
95124 

9g83 

95o8o 
95i29 

95182 
9523i 
95279 
9532.8 
95376 

95i87 

95284 
95332 
9538i 

95i92 

952.89 
95337 
95386 

95245 
95294 

95390 

95202 

95299 
95347 
95395 

952  r  i 
95260 
953o8 
95357 
954o5 

95216 
95265 
953i3 
9536i 
95410 

95221 

953i8 
95366 
954  1  5 

95226 
952-74 
95323 
9537i 
95419 

900 
901 
902 
oo3 

9<>4 

95424 
95472 
95521 
95569 
956  1  7 

95429 
9547-7 
95525 
95574 
95622 

95434 
95482 
9553o 
95578 
95626 

95439 
95487 
95535 
95583 
9563i 

95444 
95492 
9554o 
95588 
95636 

95448 

95545 
95593 
9564i 

95453 
955oi 
9555o 
95598 
95646 

95458 

95554 
95602 
9565o 

95463 
955u 
95559 
9560-7 
95655 

95468 
955i6 
95564 
95612 
9566o 

9o5 
9o6 
907 
908 
909 

95665 
957i3 
95-761 

95856 

95670 
957i8 
95766 
958  1  3 
9586i 

95674 
95722 
95770 
958i8 
95866 

95727 
95775 
95823 
95871 

95684 

95780 

95828 
95875 

95689 
95737 
95785 
95832 
95880 

95694 

95789 
95837 
95885 

95698 
95746 
95794 
95842 
95890 

957o3 
9575i 

95799 

95847 
95895 

95708 
95756 
958o4 
95852 
95899 

910 
911 
9,2 
9.3 
914 

95904 

95952 

95999 
96r>47 

96c»95 

95909 
95957 
96004 

96052 
96099 

95961 
96009 
96057 

96  1  04 

95918 

90966 
96014 
96061 

96109 

95923 
9597i 
96019 
96066 
96114 

95928 
95976 
96023 

96o7i 
96118 

95933 
9598o 
96028 
960-76 
96123 

95938 
95985 
96o33 
96080 
96128 

9599o 
96038 
96o85 
96i33 

95947 
95995 
96042 

96090 
96i37 

in  o  t--oo  Os 
Os  Os  Os  Os  Os 

96,90 
9623-7 
96284 

96147 
96194 
90242 
962.89 
96336 

96i52 
96199 
962.46 
96294 
96341 

961  56 
96204 
96251 
96298 
96  346 

96  1  6  1 
96209 
96256 
o63o3 
9635o 

96166 
962  1  3 
96261 
963o8 
96355 

96171 
96218 
96265 
963i3 
9636o 

96i75N 
96223 
96270 
o63i7 
96365 

916180 

06227 

96275 

96322 

_9636_9_ 

96417 
96464 
o65n 
96558 
966o5 

96185 
96232 
96280 
9632-7 
96374 

92O 
92I 
912 

923 
92.4 

926 

927 
928 

y3o 

93i 

932 

933 
934 

96379 
96426 
96473 
96520 
96567 

96384 
9643  1 
96478 
96525 
96572 

96388 

96483 
9653o 
96577 

96.193 

9(^440 
?6487 
96534 
9658s 

96398 
96445 
96492 
96539 
96586 

96402 
y645o 
96497 
96544 
9659i 

9640-7 
96454 
965oi 
96548 
96595 

96412 
96459 
965o6 
o6553 
96600 

96421 
96468 
965i5 
96562 
96609 

96614 
96661 
96708 
96755 
96802 

966  1  9 
96666 

96759 
96806 

9662.4 
966-70 

96717 
96764 
96811 

96628 
96675 

96722 
96769 
96816 

96633 

96680 
96727 
96774 
96820 

96638 
96685 
9673i 
96778 
9682.5 

96642 
96089 
96736 
96783 
9683o 

96647 
96694 

96834 

96652 
96699 
o6745 
96792 
96839 

96656 
96-703 
96-7  5o 
96797 
96844 

96848 
96895 
96942 
96988 
97o35 

96853 
96000 
96946 
96993 
97039 

96858 
96904 
9695  1 

96997 
97044 

96862 
96909 
96956 
97002 

96867 
96914 
96960 
9700-7 
97o53 

96872 
969i8 
96966 
97011 
97058 

96876 
96923 
96970 
97016 
97063 

96881 
96928 
96974 
97021 
97067 

0886 
96932 
96979 

97025 

9-70-72 

96890 
96937 
96984 
97o3o 

97077 

935 
9f 
937 

939 

9-7081 
9-7128 
97174 

97220 

97267 

97086 
97  1  32 

97179 
97225 

9727I 

97090 
9-7  1  37 
97i83 
972.3o 
972-76 

97095 
97l42 

97i88 
97234 
9-7280 

97ioo 
9-7  1  46 
9-7192 
9723o 
97285 

97i°4 
97i5i 

97197 
97243 

97290 

97109 
97  1  55 
07202 

97294 

97114 
97i6o 
972o6 
972.53 
97299 

97  '1? 

97i65 
97211 
97257 
973o4 

971^3 
97169 
97216 
97262 
973o8 

No.    0 

1 

a 

3 

4 

5 

6 

7 

8 

9 

Fagel84J             TABLE  XXVI. 
Logarithms  of  Numbers. 

9996. 

5 
i 

2 

3 

4 

6 

8 
9^ 

4 

2 

3 
4 
5 
6 

81 
0' 

No. 

9400  10000.                     Log.  97313  9 

No. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

940 
94i 

942 
943 
944 
'94-5" 
946 
947 
948 
949 
960 
95  1 

952 

953 
954 

97JiJ 
o-?35o 

974o5 
9745  1 
97497 

97543" 
97589 
97635 
97681 
97727 

973i7 
97364 
974  10 
97456 
97502 

97322 

97368 
974i4 
9746o 
97606 

97327 
97373 
9-74  1  9 
97465 
975ri 

9733  1 
97377 
9-7424 
9747o 
975i6 

97336 
97382 
97428 
97474 
9752o 

9734o 
97387 
97433 
97479 
97525 

97345 
97391 
97437 
97483 
97529 

9735o 
97396 

9744^ 
97488 
97534 

97354 
97400 
97447 
974Q3 
97539 

97548 
97594 
97640 
97685 
9773  1 

97552 
97598 
97644 
9769o 
97736 

97557 
976o3 
97649 
97695 
9774o 

97562 

97607 

97653 
97699 

•  97745 

97566 
976i2 
97658 
97704 
97749 

9757i 
976i7 
97663 
977o8 
97754 

97575 
97621 
97667 
97713 

97759 

9758o 
97&26 

97672 

977i7 
97763 

97585 
9763o 
97676 
97722 
97768 

97772 
97818 
97864 
97909 
97955 

97777 
97823 
97866 
979i4 
97959 

97782 
97827 

97873 
979i8 
97964 

97786 
97832 

97877 

97923 

97968 

9779' 
97836 
97882 
979-8 
97973 

97795 
9784i 
97886 
97932 
97978 

97800 

97845 
9789i 
97937 
97982 

97804 
9785o 
97896 
9794i 
97987 

978o9 
97855 
979oo 
97946 
9-7991 

97813 
97859 
9790^ 
97950 
97996 

955 
956 
9^7 
958 
959 

98000 
98046 
98091 
98i37 
98182 

98005 
98o5o 
98006 
98141 
98186 

98oo9 
o8o55 
98ioo 
98i46 
98191 

98oi4 
98o59 
98io5 
98i5o 
98i95 

98019 
96064 
98109 
98  (55 
98200 

98o23 
98068 
98114 

98i59 
98204 

98028 
98073 
98118 
98  [64 
98209 

98032 
98078 
9812.3 
98168 
98214 

98o37 
98082 

(^8127 
98i73 
98218 

98041 
98087 
98  1  32 
98177 
98223 

960 
961 
962 
963 
964 

98227 
98272 
983i8 
98363 
98408 

98232 
98277 
98322 
98367 
984i2 

98236 
98281 
98327 
98372 
984i7 

9824i 
98286 
9833  1 
98376 
98421 

98245 
98290 
o6336 

9838i 
9/8426 

9825o 

9o?f 

90040 

98385 
9843o 

98254 
98299 
98345 
98390 

98435 

98259 
983o4 
98349 
98394 
98439 

98263 
o83o8 
98354 
98399 
98444 

98268 
983  1  3 
98358 
98403 
98448 

965 
960 
967 
968 
969 

98453 
98498 
93543 
98588 
98632 

98457 
985o2 

98547 
9859a 

98637 

98462 
985o7 
o8552 
98597 
9864i 

98466 
o85n 
98556 
98601 
98646 

9847i 
985i6 
9856i 
c86o5 
o865o 

98475 
9852o 
98565 
98610 
98655 

98480 
98525 
98570 
98614 
98659 

98484 
98529 
98574 
986  1  9 
98664 

98489 
98534 
9857Q 
986?.3 
98668 

98493 
98538 
98  583 
98628 
98673 

970 

97' 
972 
973 
974 

98677 

98722 

98767 
988  1  1 
98856 

98682 
98726 
9877i 
988i6 
9886o 

98686 
9873i 
98776 
98820 

98865 

98(391 
98735 
98-780 
98825 
98869 

98b95 
9874o 
98784 
98829 
98874 

987oo 
98744 
98789 
98834 
98878 

98704 
98749 
98-793 
o8838 
98883 

98709 
98753 
98798 
98843 
98887 

987t3 
98758 
98802 
98847 
98892 

98717 
98762 
98807 
988  5  1 
98896 

975 

976 

977 
978 

979 

98900 
98945 

98989 
99o34 
99078 

989o5 
98949 
98994 
99o38 
99o83 

98909 
98954 
98998 
99043 
99o87 

989i4 
98958 
99003 
99o47 
99092 

989i8 
98963 
99oo7 
oooSa 
99096 

98923 
98967 

990  I  2 

99o56 
99100 

98927 
98972 
99016 
99o6i 
99io5 

9S932 

98976 
99021 
99065 
99109 

98936 
9898i 
99025 

99°69 
99"  4 

9894i 
98985 
99029 
99074 
991  18 

980 
98, 
982 
983 
984 
o85 
986 
987 
988 

989 

99*23 
99167 
99211 
99255 
993oo 

99127 
99171 
99216 
99260 

993o4 

"^348" 
99392 
99436 
99480 
995a4 

99i3i 
99176 

99220 
99264 

993o8 

99  1  36 
99180 
9922.4 
99269 
993  1  3 

99i4o 
99i85 
99229 
99273 
99317 

99145 
99189 
99^33 
99277 
99322 

99i49 
99193 
992.38 
99282 
99326 

99i54 
99,98 
99242 
99286 
9933o 

99i58 
99202 
9924-7 

99291 
99335 

99162 
9920^ 
992  5  1 
99295 
99339 

99344 
99388 
9943a 

99476 
99.520 

99352 
99396 

9944i 
99484 
99528 

99357 
994oi 
99445 

$S3 

9936  1 
9940  5 
99449 
994Q3 

99537 

99366 

99410 
99454 
99498 
99542 

993-o 
994i4 
99458 
99502 
99546 

99374 
994i9 
99463 
99506 
99550 

9937o 
99423 

99467 
ooSii 
99355 

99383 

99427 

99471 
995.5 
99559 

990 
99' 
99; 
993 

994 

99564 
99607 
99651 
99695 
99739 

99568 
99612 
99656 

&S. 

995-72 
99616 
99660 
997o4 
99747 

99577 
9962  1 
99664 
99708 
99-52 

9958, 
99625 
99669 

997I2 

99756 

99585 
99629 
99673 
99717 
99760 

99590 
996^4 
996-77 
99721 
99765 

9<;594 
99638 
99682 
99726 
99769 

99.^99 
9964? 
99686 
9973o 
99774 

996c»3 

99647 
99691 

99734 
99778 

995 
996 

997 
998 

999 

99782 
99826 
9987o 
999i3 
99957 

gffi 
99874 
99917 
99961 

99-791 
99835 

99878 
99922 
99965 

99795 
99839 
99883 
99926 
9997" 
3 

99800 
99843 
99887 
9993o 
99974 

99804 
99848 
9989. 
999.35 
99978 

99808 
9985. 
99896 
999.^9 
99-yS3 

998  1  3 
$856 

99900 
99944 
99987 

99817 
99861 
99904 
99948 
99991 

99822 
99865 

99909 
99952 
99996 

No. 

0 

1 

2 

4  |  5 

6 

7 

8 

9 

0° 
M 

TABLE  XXVII.                iPagtias 

Log.  Sines,  Tangents,  and  Secants. 
179° 

Hour  A.M. 

Hour  p.  M 

o  o  o 
o  8 
o  16 

!   o  24 

0  32 

Sine. 

Diff.  1 

Cosecant 

Tangent. 

Diff.l 

Cotangen 

Secant. 

Cosine. 

M 

o 

~e 

6 

8 
9 

1200 

ii  59  52 

59  44 
59  36 
59  28 

Inf.  Neg. 
6.46373 
76476 
9408  5 
7.06579 

3oio^ 
1-7609 
12494 
969 

Infinite. 
l3.53627 
23524 
o59i5 
12.93421 

Inf.  Neg. 
6.46373 
76476 
94o85 
7.o6579 

3oio3 
17609 
12494 

969  1 

Infinite, 
i  3.  53627 
23524 
o59i5 

I2.9342I 

10.00000 

ooooo 
ooooo 
ooooo 
ooooo 

10.00000 

ooooo 
oocoo 

OOOOG 
DOOOO 

60 
59 
58 
5- 

se 

ii  59  20 
59  12 

5?  5t 
58  48 

o  o  4o 
o  48 
o  56 
i   ^ 

I   12 

7.  16270 
24188 
3n882 
36682 
41797 

•7918 
6694 

58oo 
5n5 
4576 

i2.8373o 
758i2 
69118 
633  1  8 
582o3 

7.  16270 
24188 
3o882 
36682 
4i797 

•7918 
6694 
58oc 
5n5 

4576 

i2.8373( 
758i2 
691  1  8 
633  1  8 
582o3 

10.00000 

ooooo 
ooooo 
ooooo 
ooooo 

10.  ooooo 
ooooo 
ooooo 
ooooo 
ooooo 

55 
54 
53 

52 

5i 

10 
!  I 
12 

i3 
i4 

ii  58  4o 
58  32 
58  24 
58  16 
58  8 

0  I   20 

I   28 

i  36 
i  44 

I   52 

7.46373 
5o5i2 
54291 

57767 
6o985 

4i39 

3779 
3476 
32i8 
2997 

12.53627 
49488 
45-709 
42233 
39oi5 

7.46373 
5o5i2 
5429 
57767 
60986 

4i3o 

3779 
3476 

32I9 

2996 

12.53627 
49488 
457o9 
42233 
39oi4 

I  O.  OOOOO 

ooooo 
OMDOO 
ocooo 

OOl  OO 

I  O  .  OOOOO 

ooooo 
ooooo 
ooooo 
ooooo 

5o 

49 
48 

47 

46 
45 
44 
43 
4a 
4i 
4o 
39 
38 
37 
36 

1  5 
16 

17 

18 

'9 

ii  58  o 

•57  52 

57  44 
57  36 
57  28 

020 
2   8 
2   16 
2  24 
2  32 

7.63982 
66784 
69417 
71900 
74248 

2802 
2633 
2483 
2348 

2227 

i  2  .  36o  i  8 
332i6 
3o583 
28100 

25752 

7.63982 
66785 
69418 
7i9oo 
•74248 

2803 
2633 
2482 
2348 
2228 

I2.36ot8 
332i5 
3o582 
28100 

25752 

10.00000 

ooooo 

00001 
0000  1 
0000  1 

1C  .00000 

ooooo 
I  9-99999 
99999 
99999 

1  1 
>?. 

23 

34 

II  57  20 
57  12 

57  4 
56  56 
56  48 

o  2  4o 

2  48 
2  56 
3  4 

3   12 

7.76475 
78594 
806  1  5 
82545 
84393 

21  19 
202 

i93o 
1  848 
i773 

12.23525 

21406 
19385 

i7455 
i56o7 

7.76476 
78595 
806  1  5 
82546 
84394 

21  19 

2O2O 

1981 

1848 
i773 

12.23524 

2i4o5 
i9385 
i7454 
i56o6 

10.00001 
OOOOI 
0000  1 
OOOOI 
OOOOI 

9-99999 
99999 
99999 
99999 
99999 

25 

26 
27 
28 
29 

ii  56  4o 
56  32 
56  24 
56  16 
56  8 

0  3  20 

3  28 
3  36 
3  44 
3  52 

7.  86166 
87870 
89509 
91088 
92612 

1704 
i639 

1  579 
i524 
1472 

I2.i3834 

I2l3() 

10491 

08912 

o7388 

7.86i67 
8787i 
895io 
91089 
9261^ 

i-7o4 
i639 
i579 
i524 
i473 

i  2.i3833 

121  29 

io49o 
o89i  i 
o7387 

I  O.  OOOOI 
OOOOI 
OOOOI 
0000  1 
00002 

9-99999 
99999 
99999 
99999 
99998 

35 
34 
33 

32 

3i 

3o 
3i 

3; 
33 

34 

ii  56  o 
55  52 
55  44 
55  36 
55  28 

o  4  o 
4  8 
4  16 
4  24 
4  32 

7-  94o84 
955o8 
96887 
98223 
99520 

1424 
1  379 
1  336 
1297 
1259 

12.05916 
04492 
o3i  1  3 

01777 
00480 

7.94086 

955io 
96889 
98225 

99522 

1424 
i379 
i336 

I297 
I259 

i2.o59M 
o449o 
o3i  1  1 

oi775 
oo478 

10.00002 
00002 
00002 
00002 
00002 

9-99998 
99998 
9999s 
99998 
9999s 

3o 

2Q 

u8 

27 
26 

35 
36 
3? 
38 
39 

ii  55  20 
55  12 
55  4 
54  56 
54  48 

o  4  4o 
4  48 
4  56 
5  4 

5   12 

8.00-779 

O2002 
O3l92 

o435o 

05478 
8.06578 
07650 
08696 
09718 

10717 

1223 
1190 

ii58 
1128 

I  IOO 

11.99221 

97998 
96808 
9565o 
94522 

8.00781 

02004 
03194 
04353 
o548i 

1223 
I  IOO 

n5o 

I  I  2.8 
I  IOO 

11.99219 
97996 
96806 
9564? 
945i9 

IO.OOOO2 
OOOO2 

ooooc 
oooo3 
oooo3 

9-99998 
99998 

99997 
99997 
99997 

25 

24 

2C 
22 
21 

4o 
4i 

42 

43 
44 

ii  54  4o 
54  32 
54  24 
54  16 
54  8 

o  5  20 
5  28 
5  36 
5  44 
5  52 

1072 

1046 

1022 

999 

976 

ii  .93422 
9235o 
9i3o4 
90282 
89283 

8.o658. 
o7653 
o87oo 
09-722 

I0720 

1072 
io47 

1022 

998 
976 

ii  .934i9 
92347 
9i3oo 

00278 

89280 

n.883o4 

87349 
864  1  5 
855oo 
846o5 

10.0000,: 
oooo3 
oooo3 

oooo3 
ooco4 

9-99997 
99997 
99997 
99997 
99996 

2O 

'9 
18 

16 

4b 
46 
47 
48 
49 

IT  54  o 
53  52 
53  44 
53  36 
53  28 

060 
6  8 
6  16 
6  24 
6  32 

3.11693 

12647 
i358i 
i4495 
15391 

954 
934 
914 
896 

877 

i  i.883o7 
87353 
86419 
855o5 
84609 

8.1l6o6 

1  265  1 
1  3585 
i45oo 
i5395 

955 
934 
o.5 

695 
878 

10.00004 
00004 
00004 
00004 
00004 

9-99996 
99996 
99996 
99996 
99996 

1  5 

i4 
i3 

12 
I  I 

DO 

5i 
5;> 
53 
54 

ii  53  20 
53  12 
53  4 
52  56 
52  48 

o  6  4o 
.  6  48 
6  56 
7  4 
7  12 

8.16268 
17128 

i797i 
i8798 
19610 

860 
843 

827 

812 

797 

n.8373a 

82872 

82029 

81202 

60390 

8.i6273 
I7i33 
i7976 

18804 
10616 

860 
843 
828 
812 

797 

i  i.837a7 
8286-7 
82024 
81196 
8o384 

io.oooo5 
ooooS 
oooo5 
ooooS 
ooooS 

9-99995 
99995 
99995 
99995 
99995 

IO 

7 

6 

5 

4 
3 
.». 

i 

o 

bb 
56 
57 
5P 

59 

60 

M 

ii  52  4o 
52  3a 

52  2A 

52  16 
52  8 

52   0 

o  7  20 
7  28 
7  36 
7  44 
7  52 
8  o 

8  .  2o4o7 
21189 
21958 

227l3 

23456 
24186 

•782 
•769 
755 
743 
73o 
717 

1  1.  -79593 
78811 

78o42 

77287 

76544 
758i4 

8.2o4i3 

2II95 

21964 

22720 
23462 
24192 

•782 
769 
756 

742 

73o 
718 

11.79687 
78805 
78o36 
77280 
76538 
758o8 

I  O  .  OOOO6 

00006 
00006 
00006 
00006 

OOOO7 

9-99994 
99994 
99994  ' 
99994 
99994 
99993 

lour  i>.  M. 

Hour  A.M. 

Cosine. 

W.I' 

Secant 

CotangentjDifi'.  1'  Tangent. 

Cosecant. 

Sine. 

M 

»agel8G]                       TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
P                                                       17^ 

M 

3fftf  A.M.  HoiirP.M. 

Sine.  JDiff.rjCoseoant. 

angent.lDiff.l'C 

/otaiigont 

Secant.  Cosine. 

0 

i 

2 

3 

4 
5 
6 

7 
8 

9 

52   0 

5i  521 
5i  44 
5i  35 
5  1  28 

o  8  o 
8  8 
8  16 
8  24 
8  3; 

24i86| 
24903 

a56o9 

263o4 
26988 

71?  [i 
706- 
695 
684 

673 

1.7*1814 
75097 

7439. 

73696 

73oi2 

8  24192 
24910 
256  1  6 
263  1  ? 
26996 

18  i 
06 
96 
84 
73 

I.758o8 
75oyo 
74384 
73688 
73oo4 

0.  OOG07  |<j 
OOOO7 
OOOO7 

0000-7 
00008 

.99993 

99993 
99993 
99993 
99992 

5  1  20 
5  1  12 

5i  4 
5o  56 
5o  48 

o  8  4o 
8  48 
8  56 
9  4 
9  l2 

.27661 
28324 
28977 
2962  1 
30^55 

663  'i 
653 
644 
634 
6»4 

i  .7^.339 
71676 
7io?.3 
70379 
69745 

8.27669 
28332 
28986 
29629 
30263 

663  . 
654 
643 
634 
625 

i.7a33i 

•71668 
•710.4 
7o37. 
69737 

0.00008  c 
00008 
00008 
00008 
00009 

>•  99992 
99997 

99992 
99993 

9999. 

10 
1  1 

1  2 

1  3 

i4 

i  5o  4« 
5o  32 
5o  24 
5o  16 
5o  8 

o  9  20 
9  28 
9  36 
9  44 
9  52 

.3o879 
3.495 
32io3 
32702 
33292 

6.6 
608 
599 
590 
583 

[i  .69121 
685o5 
67897 
67298 
66708 

8.3o888 
3i5o5 

32II2 

32711 
33302 

6.7 
607 
599 
5oi 

584 

.1  .691  12 
68495 
67888 
67289 
66698 

o  .  00009 
00009 
OOOIO 
000  10 
OOOIO 

7-9999' 
9999  ' 

99990 
99990 

9999" 

i5 
16 

1-7 

18 
'9 

i  5o  o 
49  52 
49  44 
49  35 
49  28 

O  10   0 

10  8 
10  16 

10  24 
10  32 

.33875 
3445o 
35<>i8 
35578 
36t3i 

5?5 
568 
56o 
553 

547 

i.  66125 
6555o 
64982 
64422 
63869 

8.33«86 
3446i 
35o29 
3559o 
36i43 

575 
568 
56  1 
553 
546 

I.66..4 

65539 

64971 
644  1  o 
63857 

0.000(0 
OOOII 
OOOI  I 
OOOII 
OOOI  I 

9.99990 
99989 

99989 
99989 
99989 

20 

21 
22 
23 

*4 

25 

26 
27 
28 
29 
3o 
3 
3 
3 
3 
3 
3 

j 

/ 

,•: 
/ 
/ 
-. 
4 
4 
< 

5 
f 

i 

I  49  20 
49  12 

49  4 
48  56 

48  48 

o  10  4o 
10  48 
10  56 
1  1  4 

II  12 

.36678 

37217 
3775o 
38276 
38796 

539 
533 
526 

520 

5i4 

i  .63322 
62783 
62250 
6172.: 
6120; 

8.36689 
37229 
37762 
38289 
388o9 

54o 
533 

527 

520 

5.4 

i.  633  1  1 
6277. 
62238 
61711 
61  .9. 

O  .  OOO  I  2 
OOOI  2 
00012 
000  1C 
OOOK 

9.99988 
99988 
99988 

99987 

99987 

i  48  4o 
48  32 
48  24 
48  16 
48  8 

n  46  o 

4?  52 
47  44 
47  36 
47  ,8 

O  I  I  2O 
II  28 

n  36 
ii  44 

II  52 

.39310 
398i8 
4o320 
40816 
4i3o7 

5o8 

502 

496 

491 

485 

i  i  .  60690 
60182 
5968o 
59184 
58693 

8.39323 
3983 
4o33 
4o83 
4.32 

509 

502 

496 

491 
486 

i  .60677 
60168 
59666 
59170 
58679 

io.oooi3 

000  1  4 
OOO  1  4 

ooo  1  4 
ooo  1  5 
i  o  .  ooo  .  5 
ooo  1  5 
000.6 
00016 
000.6 

9.99987 
99986 
99986 
99986 

99985 

\ 
i 
3 
j 

g 

8 

6 

0  12   0 
12   f 

\ii4 

,2  3 

,4i792 
42272 
42746 
432.6 
4368o 

48o 
474 
470 
464 
459 

ii  .58^08 
57728 

5725-4 

56784 

56320 

8.  4  1  80 
4228 
4276 
4323 
4369 

48o 
475 
4~>o 
464 
46o 

.1.58193 

577i3 
57238 
56768 
563o4 

9-99985 
99985 

99984 
99984 
99984 

I  I  47  20 

4-  12 
47  4 
46  56 
46  48 

n  46  4o 
46  32 

46  24 
46  16 
46  8 

0  12  4< 

12  48 

12  5f> 

i3 
i3  i 

8.  44  1  39 
44594 
45o44 
45489 
4593< 

455 
45o 
445 
44  1 
436 

n.5586 
554o6 
5495 
545i 
5407 

8.44i5 
446i 
45o6 
455o 
4594 

455 
45o 
446 
44  1 

437 

n.55844 
55389 
5493 
544Q 
54o5 

I  o  .  ooo  i  7 
00017 
000.7 
ooo  1  8 
00018 

9.99983 

99983 
99983 

99982 
99982 

5 
i 
3 
a 

n 

9 

s 

o 

o  i3  •>. 

i3  •> 
i3  3 
i3  4 
i3  5 

S.463b6 
4679 
4722(3 

47(rx 
48t.<><, 

433 
427 
42.4 
419 
1  4i6 

u.5363 
5320 

5277 
5235 
5i93 

8.4638 
468. 
4724 
4766 
4808 

432 
428 
424 
420 
4i6 
412 
4o8 
4o4 
4oi 
397 

n.536. 
53.8 
5275 
5233 
5191 

10.00018 
00019 
00019 
000.9 

000  2  C 

9.9998. 
9998, 
0098  1 

9998. 
99980 

ii  46  o 

45  52 
45  44 
45  36 
45  28 

o  .4 
i4 

i4  i 

14  2 

i4  3 

8.4848* 
4889e 
4</3..; 
497"£ 
5<>i<.£ 

4n 

>  4o8 
4o4 
|  4oo 
>  396 

n.5t5i 
5i  10 
6069 
5029 
4989 

8.485o 
4891 
4932 

4972 
5oi3 

n.5i49 
5io8 
5o67 
6027 
4987 

IO.OOO2C 
OOO  2  . 
O002I 
00021 
OOO  2  2 

9-9998o 
99979 
999"9 
99979 
99978 

4 

! 

ri  45  20 
45  n 
45  / 
44  5* 
44  4* 

o  i4  4 
i4  4 
i4  5 
i5 
i5  i 

8.5ob^ 

5o89- 
5.28- 
5  1  67^ 
52o5 

i  393 
l  390 

7  386 
}  382 
5  379 

U.4949 
4910 

4871 
4832 
4794 

8.5o52 
5092 
5.3 
5.6o< 
5207 

393 

383 
38o 

11.4947 
4908 
4869 
483o 
4792 

IO.  00025 

0002: 

000  ').  i 
0002^ 
OOO2. 

9.99978 
99977 
99977 
99977 
99976 

C 

h 

ii  44  4< 

44  3: 
44  2^ 
44  i< 
44  ! 
44  < 

0  15  2 

15  2 

i5  3 
i5  4 
i5  5 
16 

8.5243, 
528i< 
53i8 
5355 
539i 
5428 

\  376 
3  373 
3  369 
2  367 

y  363 

2  36o 

n.4756 
4719 
468  1 
4644 
4608 
457i 

8.5245 
5283 
5320 
5357 
5394 
543o 

Cotangei 

37b 
373 
37o 
367 
363 
3  36i 

t|l>iflT. 

ii  .4754 
4716 
4679 
4642 
46o5 
4569 

IO.OOO2' 
000  2  f 

0002' 

000  2  ( 
OOO2( 
OOO  2 

9-99976 
99975 
99975 
99974 
ij  999* 
N  99974 

M 

Hour  A. 

Cosine 

Diff.l 

'  Secant 

Taiigcn 

Cosecant.  1  Sine. 

88° 

9ic 


TABLE  XXVII.                        [Page  1ST 

Log.  Sines,  Tangents,  and  Secants. 
i]°                                                       177C 

M 

i  ) 

2 

3 
4 
5 
6 

8 
9 

Hour  A.M. 

Hour  P.M. 

Sine.  ,I)iff.l' 

Cosecant. 

Tangent. 

Dtfr.l'|CotangeKl 

Secant,  i  Cosine. 

M 

ii  44  o 
43  5. 
4*  44 
43  36 
43  28 

o  16  o 
16  8 
16  16 
16  a4 
16  32 

Q,.  54282 
54642 

%m 

557o5 

36o 
357 
355 
35i 
349 

M.457i8 
45358 
45ooi 
44646 
44295 

8.543o8 
54669 
55027 
55382 
55734 

36  1  • 

•358 
355 
352 
349 

i  i  .4^692 
4533i 
44973 
446  1  8 
44266 

10.00026 
00027 
00027 
00028 
00028 

9.99974 
99973 
999?3 
9997' 
99972 

60 

59 

58 
57 
56 

55 

54 
53 

52 

5  1 

II  43  20 

43  12 

43  4 
42  56 
42  48 

o  16  4o 
16  48 
16  56 
17  4 

17  12 

8.56o54 
564oo 
56743 
57o84 
57421 

346 
343 
341 
337 
336 

11.43946 
436oo 
43257 
42916 
42579 

8.56o83 
56429 
56773 
57114 

57452 

346 
344 
34i 
338 
336 
~33T 
33o 
328 
326 
323 

ii  .439i7 
4357i 

43227 

42886 
4^548 

10.00029 
00029 
ooo3o 
ooo3o 
ooo3i 

9.99971 
9997' 
99970 
9997" 
99969 

10 

1  1 

I  2 

i3 

i4 

ii  42  4o 

42  32 

4^  24 
42  16 
42  8 

o  17  20 

17  28 

17  36 
17  44 
17  52 

8.57757 
58o89 
584i9 
58747 
590-72 

332 
33o 
328 
325 
323 

ii  .42243 
41911 
4i58i 
4i253 
40928 

8.57788 
58(2. 
5645  1 
58779 
59105 

ii  .42212 
4  1  8-79 
4  1  549 
4i22r 
4o895 

io.ooo3i 
ooo32 

OOO32 

ooo33 
ooo33 

9  -99969 
99^8 
99968 
99967 
99967 

5o 
49 
48 
47 
46 

.5 
1  6 

17 
18 

'9 

I  I  42   0 

4i  52 
4i  44 
4i  36 
4i  28 

o  18  o 
18  8 
18  16 
18  24 
18  32 

8.59395 
597i5 
6oo33 
6o349 

60662 

320 

3i8 
3i6 
3i3 
3u 

i  i  .4060  5 
40285 
39967 
3965i 
39338 

8.59428 
59749 
60068 
6o384 
60698 

321 

3i9 
3i6 
3i4 
3u 

ii  .4o572 
4o25i 
39932 
39616 
39302 

io.ooo33 
ooo34 
ooo34 
ooo35 

ooo36 

9-99967 
99966 
99966 
99965 
99964 

45 
44 
43 
42 
4i 

20 
21 
22 
23 

24 

11  4  1  20 

4i  12 
4r  4 
4o  56 
4o  48 

o  18  4» 
18  48 
18  56 
19  4 

19  12 

8.6o973 
61282 
61589 
61894 
62196 

3o9 
3o7 
3o5 

302 

3oi 

I  I  .39027 

38718 
384  1  1 
38  1  06 
378o4 

8.61009 
6r3i9 
61626 
61931 
62234 

3io 
307 
3o5 
3o3 
3oi 

11.38991 

3868  1 
38374 
38o69 
37766 

io.ooo36 
00037 
ooo37 
ooo38 
ooo38 

9.99964 
99963 
99963 
99962 
99962 

4o 

37 
36 

25 

26 

27 
28 
29 

u  4o  4o 
4o  32 
4o  24 
4o  16 
4o  8 

o  19  20 

19  28 

19  36 

19  44 
19  52 

8.62497 
62795 
63091 
63385 
63678 

298 
296 
294 
293 
290 

288 
287 
284 
283 
281 

u  .375o3 
372o5 
36909 
366  1  5 
36322 

8.62535 
62834 
63i3i 
63426 
63718 

299 
297 
295 
292 
291 

n.37465 
37i66 
36869 
36574 
36282 

io.ooo39 
ooo39 
ooo4o 
ooo4o 
00041 

9.99961 
99961 
99960 
99960 
99959 

35 
34 
33 

32 

3i 

3o 
29 
28 
?-> 

26 
a5 

24 
23 
22 

21 

3o 

3i 

32 

33 

34 

ii  4o  o 
39  52 
39  44 
3936 
39  28 

II  39  20 
39  12 

39  4 
38  56 
38  48 

O  20   0 
20   8 
20  1  6 
20  24 
20  32 

8.63968 
61256 
64543 
64827 
65  1  10 

n.36o3a 

35744 
35457 
35i73 
34890 

8.64009 
64298 
64585 
6487o 
65  1  54 

289 
287 
2.85 
284 
281 

11.35991 
357o2 
354  1  5 
35i3o 
34846 
i^73~4565 
34285 
34007 
3373i 
33457 

io.ooo4i 
00042 
00042 
ooo43 
ooo44 

"g& 

99953 
99957 
99956 

35 
36 
37 
38 
39 
4o 
4i 
4  a 
43 
44 

o  20  40 
20  48 
20  56 

21   4 
21  12 

8.6539i 
6567o 

65947 
66223 
66497 

279 

277 
276 

274 
272 

i  i  .  34609 
3433o 
34o53 
33777 
335o3 

8.65435 
657i5 
66993 

66269 
66543 

280 
278 
276 

2/4 
273 

io.ooc44 
ooo45 
00045 
00046 
ooo46 

io.ooo47 
00048 
00048 
00049 
00049 

9-99956 
99955 
99955 
999V 

9<;9£>4 

ii  38  4o 
38  32 
38  24 
38  16 
38  8 

O  21  20 
21  28 

21  36 
2t  44 

21  52 

8.66769 
67089 

673o8 
67575 
6784  1 

270 
269 
267 
266 

263 

n.3323. 
3296. 
32692 
32425 
32159 

8.66816 
67087 
67356 
67624 
67890 

27I 

269 
268 
266 

264 

n.33i84 
329i3 
32644 
32376 

32IIO 

9.99953 
99959 
99952 

9995i 
9995  1 

2O 

'7 
1  6 

45 
46 
4-7 
48 
49 
5o 
5i 

52 

53 
54 
55 
56 

57 

r,8 

59 
60 

M 

u  38  o 

37  52 
37  44 
37  36 
37  28 

0  22   O 
22   8 
22  l6 
22  24 
22  32 

8.  68104 
68367 
68627 
68886 
69i44 

263 
260 

259 

258 
256 

11.31896 
3)633 
3i373 
3in4 
3o856 

8.68i54 
684  1  7 
68678 
68938 
69196 

263 
261 
260 
258 

9,57 

n.3i846 
3  1  583 

3l322 

3  1  062 
3o8o4 

io.ooo5o 
ooo5i 
ooo5i 

OO052 
000  52 

9.9995o 

99949 
9994s 

99948 

99948 

i5 
i4 
id 

12 
I  I 
10 

| 

6 
~5 
4 
3 

2 

I 
0 

M 

II  37  20 
37  12 

37  4 
36  56 
36  48 

0  22  40 
22  48 
22  56 

23  4 

23  12 

8.694oo 
69654 
69907 
•70159 

•70409 

254 
253 

252 
250 
249 

~^T 

?46 
244 
243 
2.42 
?4o 

i  i  .  3o6oo 
3o346 
30093 
29841 
2959i 

8.69453 
69-708 
69962 

702l4 

7o465 

255 

254 

252 
25l 
249 

i  i  .  3o547 
30292 
3oo38 
29786 
29535 
11.29286 
29038 
28792 

28547 
283o3 
28060 

io.ooo53 
ooo54 
ooo  54 
ooo55 
ooo56 

9.9994-7 
99946 
99946 
og945 
99944 
9.99944 
99943 
999^3 
1  99942 
9994i 
i  9994o 

ii  36  4o 
36  32 
36  24 
36  16 
36  8 
36  o 

O  23  2O 
23  28 

23  36 
23  44 

23  52 
24   0 

8.70658 
70905 

7i  i5i 
7'395 
7i638 
71880 

1  1  .29342 

29095 
28849 
28605 

28362 
28120 

8.7o7i4 
-  70962 
71208 
7T453 
71697 
71940 

248 
246 
245 
244 
243 
24  1 

i  o.ooo  56 

ooo57 
ooo58 
ooo  58 
ooo5g 
00060 

Hour  p.M.'.I'/ur  A.M. 

Cosiiio.  JDiflT.r 

Secant. 

Cotangent 

jDiff.1 

Tangent. 

Oosecant.  '  Sine. 

sr 


I>a*el8«3                TABLE  XXVII. 

Log.  Sines,  Tangents,  arid  Secants. 
3°                                                     Yi(? 

.M 

lour  A.M. 

lour  P.M. 

Siiie.  JDiffl' 

Cosecant. 

'angent.  1 

otangcnt 

Secant. 

Cosine. 

M 

o 

9 
8 

7 
6 

o 
i 

3 

4 
5 
6 

8 
9 

1  O 
1  2 

i3 

ii  36  o 
35  52 
35  44 
3*5  36 
35  28 

o  24  o 
24  8 
24  16 
24  24 
24  32 

.71880! 
721  20 
72359 
72597 
72834 

239 

238 

9.37 

235 

1.28.20 
2-7880 
2764i 
274o3 
2-7166 

8  .  7  i  940 
72181 
72420 
72659 
•72896 

24  1 
239 

239 
237 

236 

i  .  28060 
278.9 
2758o 
2734i 

27I04 

0.00060 
00060 
00061 
00069. 
00062 

999*0 
99939 
99938 
99938 

i:  35  20 
3.i  <:2 
35  4 
34  56 
34  48 

o  24  4o 
24  48 
24  56 
25  4 

25  12 

.73o69 
733o3 
73535 
73767 
73997 

234 

232 
9.32 
230 

299 

i  .  2693  i 
26697 

26465 
269.33 
26oo3 

8.  73  1  32 

73366 
736oo 
73832 
74o63 

9.34 

9.34 

232 
23l 

229 

I  .  26868 
26634 
26400 
26.68 
25937 

o  .  ooo63 
00064 
00064 
0006  5 
00066 

7.99937 

999  36 
99936 
99935 
99934 

5 
4 
3 

ii  34  4o 
34  32 

34  24 
34  16 
34  8 

0  25  20 
25  28 

25  36 

25  44 

25  52 

.74226 
74454 
74680 

74906 
75i3o 

29.8 
2.26 
226 
224 
223 

n.25774 
25546 

25320 

25o94 
2487o 

8.  -74292 
7452i 

74748 

75I99 

229 

227 
226 
225 
224 

1.25-708 
25479 

25252 
25026 

24801 

o  .  oo(  >66 
00067 
00066 
00066 
00069 

99933 

99932 
9993  1 

o 

49 
48 

16 

i5 
16 

17 
18 

12 

x> 

21 
92 
9.3 
24 
25 
26 
27 
9.8 

3o 
3i 
3  a 

3  3 

ir  34  <> 
33  52 
33  44 
33  36 
33  28 

o  26  o 
26  8 
26  16 
26  24 

26  32 

.75353 
75575 
75795 
7601  5 
762.34 

222 
22O 
220 
2I9 
217 

1  1  .  2464-7 
24425 

242O5 

23985 
28766 

8.75423 
75645 
75867 
76o87 
763o6 

222 
222 
22O 
2.9 

2I7 
2.6 
2l5 
214 
2l3 

1.24577 
24355 

24.33 
a|oi3 

23694 

O.OOO7O 
0007I 
0007I 
00072 

ooo73 

9.9993.. 
99929 
99929 
99928 
99927 

\t 
4- 
42 
4i 

u  33  20 
33  12 
33  4 
32  56 
32  48 

o  26  4o 
26  48 
26  56 

27  4 

27  12 

.7645  i 
76667 
76883 
77097 
773  10 

2.6 

216 
2.4 

2l3 

212 

u.23549 
23333 

23lI7 

22903 
22690 

'76742 
76958 
77i73 
•77387 

1.23475 
23258 

23042 

2282-7 
2261: 

o.ooo74 
00074 
ooo75 
00076 
00077 

9.99926 
99926 
99925 
99924 
99923 
9.99923 
9992  i 
99921 
9992( 
99920 
9.999.9 
99918 
99917 
99917 
999  if 

4o 

39 
38 

37 
36 

i  32  4o 

32  32 
32  24 
'   32  if 

32  8 

o  27  20 
27  28 
27  36 
27  44 
27  52 

'77733 
77943 
781  52 
7836c 

21  I 

210 

20° 
208 
208 

I  I  .22478 
22267 
22057 
21848 

21640 

8.77600 
778., 
78022 
78232 

7844 

211 
21  I 

210 
209 
208 

1  1  .22400 
22189 

2i768 
2i559 

10.0007.7 
00078 
00079 

00080 
00080 

35 
34 
33 

32 

3i 

II  32   0 

3i  52 
3.  44 
3.  3f 
3i  28 

0  28   0 

28  8 
28  16 
28  24 

28  39 

8.7856b 
78774 
78979 
79  '8 
79386 

206 
205 
204 
203 
202 

1  1  .21432 

21  221 
21O2 
208  I" 

206  1  4 

8.78649- 
78855 
7906 

79266 

7947< 

2o6 
206 
205 

204 

203 

ii.  2.35 
21  145 
20939 

2o734 
2o53c 

10.00081 
00082 
0008: 
0008: 
00084 

t. 

27 
06 

25 

2; 

22 
2  1 

35 

3- 
38 

3? 

4o 

49 

43 
4-1 
45 
46 

47 
48 

-  9 

.1  3.  2C 

3i  i 
3i  4 

3o  56 
3o  48 

o  28  4c 
28  48 
28  56 
29  4 
29  12 

8.79588 
79789 
7999° 
80189 
8o388 

201 
201 
»99 

'99 

I  I  .  2C>4  1 
2021 
20010 

Ifil 

8.7967 
7987 
8007 
8027 
8047 

202 
201 

20. 

20I2D 
19924 
I9723 

1952.4 

i  0.0008  5 
00086 
00087 
00087 
00088 

9-999'5 

999  •-» 
9991 
9991 
9991 

i  i  3o  4o 
3o  32 
3o  24 
3o  .6 
3o  8 

O  29  20 

29  ?S 

29  36 
29  44 
29  52 

8.8o585 
80-782 
8o978 
81173 
8i367 

'96 
195 

194 
i93 

i  i  .1941 
1921 
1902 
1882 

1  863 

8.8067 
8087 
8106 
8126 
8i45 

,98 
,96 
,96 

io5 

.9198 

.893 
i8736 
1  854 

10.00089 
00091 
00091 
00091 
00092 

9.9991 
999  u 
999° 
999° 
999o 

2.0 
19 

.8 

17 
16 

u  3o  c 

29  5? 
29  4' 
29  3f 
29  26 

o  3o  o 
3o  8 
3o  16 
3o  2.4 
3o  3 

8.8.56t 
8i752 
81944 
82.34 

82324 

192 
192 

190 
190 
i89 

n.i844 

i8o5 
1-786 

i767 

8.8i65 
8184 
82o36 

829.3C 

8242C 

,93 
192 
192 
190 
190 

ii.i834 
i8i5 
1796 

1777 
i758 

10.0009. 
0009/1 
0009!: 
0009^ 
0009^ 

9.9990 
9990 
9990 

999° 
9990 

5o 
5. 

59. 

5: 
5* 

56 
57 
58 
59 
60 

II  29  2C 

29  IS 

29   i 

28  5( 
28  4t 

o  3o  4 
3o  4 
3o  5 
i   3i 
\   3i  i 

8.82.51  2 
82701 
82886 
83o7~ 
8326. 

8T8344C 
8363c 
838i: 
8399( 

84  17- 

Cosine 

1  88 
.87 
187 
1  86 
i85 

11.1748 
1729 
1711 
1692 
i673 

8.826.C 

8279S 

8208- 

83i7- 
8336 

189 
)  1  88 
.88 
•  1  86 
1  86 

11.1739 

i  -720 

I  70  K 
1682 

.663 

I  O  .  OOC9" 

00096 

00099 

OO  I  OC 
O01OI 

9.99903 
99902 
)  99901 
>  99900 
99899 

ii  9.8  4< 
9.8  3: 

9.8  2. 
2.8  If 

28  I 
28  < 

)  0  3l  2 
1     3l  2 

i   3.  3 
3   3i  4 
3   3i  5 

)     32 

xr  oo  oo  —  —  —  .  |  T~ 

CO  CO  CO  CO  00  CO  '5= 

.  i.i655 
i637 
1618 
1600^ 
1  589 
1  564 
'j  S<-<-ant 

8.8354- 

8373; 

839  if 

84  1  o( 
849.8- 
8446. 

Colangm 

i  .85 

»   .8/4 

i  184 
)  182 
«  182 
\  182 

1  1.  .645 
1626 
1608 
.590 
i57' 
i553 

i  0.0010: 
ooio: 

OOIO/! 

oo.of 
ooio( 

9.99898 
99898 
\  99897 
(  9989^ 
>  99^9') 

}  W&9* 
.   Sine. 

2 

O 

IV! 

t  Dirt'. 

']  Tangent,  ,  Cosec;uil 

~HnnrA.f» 

93" 


TABLE  XXV  II.                I***8189 

Log.  Sines,  Tangents,  and  Secants. 
4°                                                      175° 

M 

Hour  A.M. 

Hour  P.M. 

Sine. 

Difl'.  1 

Cosecant. 

Tang-en  t. 

Diff.l 

Cotangent 

Secant. 

Cosine. 

M 

o 
i 

2 

3 
4 
5 

6 

7 
8 

9 

I  I  28   0 

27  52 

27  44 
27  36 
27  28 

0  32   0 

32  8 
32  16 

32  24 

32  32 

8.84358 
84539 
84718 

84897 

85<>75 

181 

'79 
1  79 

178 
177 

ii  .  i  5642 

i546i 
15282 
i5io3 
14925 

8.84464 
84646 
84826 
85oo6 
85.85 

182 

1  80 
1  80 
179 
i78 

1  1.  1  5536 
1  5354 
16174 
i4994 
i48i5 

10.00106 
00107 
00108 
00109 
00109 

91.99894 
99893 
99892 
99891 
99891 

60 

3 

57 
56 

II  27  20 

27  12 

27  4 
26  56 
26  48 

o  32  40 
32  48 
32  56 
33  4 
33  12 

8.85252 
85429 
856o5 
86781 
85955 

177 
176 

i75 
i75 
,73 

ii.i4748 
i457i 
i4395 
14220 
Uo45 

8.85363 

8554o 
857i7 

^ 

177 
177 
176 
176 
i?4 

ii.i4637 

i446o 
14283 
14107 
i393i 

I  O  .  OO  I  I  O 
001  II 
001  I  2 

ooi  1  3 
ooi  14 

9.99890 
99889 
99888 
99887 
99886 

55 
54 
^3 

59 

5i 

1  1  > 
1  1 
u 
i3 

1  4 

u  26  4o 
26  32 
26  24 
26  1  6 
26  8 

o  33  PO 
33  28 
33  36 
33  44 
33  52 

8.86128 
863oi 
86474 
86645 
86816 

i73 
i73 

171 
171 
171 

u  i3872 
i3699 
i3526 
i3355 
i3i84 

8.86243 
86417 
86691 
86763 
86935 

i74 
i74 

I72 

172 
171 

11.13757 
i3583 
1  34o9 
i3237 
i3o65 

lo.ooi  i5 
ooi  16 
ooi  17 
00118 
00119 

9.99886 
99884 
99883 
99882 
99881 

5o 
49 
48 
47 
46 

i5 

16 

17 
18 

'9 

1  1  26  o 
25  52 

2.5  44 
25  36 

25  28 

o  34  o 
34  8 
34  16 
34  24 
34  32 

8.86987 
87.  56 
873a5 
87494 
87661 

,69 

169 
169 
'67 
1  68 

i  i  .  i  3o  i  3 
12844 
12675 
i25o6 
i2339 

8.87106 

87277 
87447 
87616 
87785 

171 

170 
I69 
I69 

1  68 

i  i  .  i  2894 
12723 
12553 
12384 

I22l5 

IO.  00120 
OOI  2  I 
OOI  2  I 
00122 
00123 

9.99880 
99879 
99879 
99878 

99877 

45 
44 
43 
42 
4i 

20 

21 
22 
23 

24 

II  25  20 
25  12 

25  4 
24  56 
24  48 

o  34  4<> 
34  48 
34  56 
35  4 
35  12 

8.87829 
87995 
88161 
88326 
88490 

166 
166 
1  65 
i64 
164 

1  1  .12171 

12005 

11839 

11674 
1  1  5  1  o 

8.87953 
88120 
88287 
88453 
88618 

167 
167 
1  66 
1  65 
i65 

1  1  .  I  2047 

11880 

H7i3 

1  1  547 
n382 

10.00124 
00126 
00126 
00127 
00128 

9.99876 
99875 
99874 
99873 
99872 

4o 

39 

38 

37 
36 

35 
34 
33 

32 

3i 

25 

26 

^7 
28 
2.9 

i  i  24  40 
24  32 
24  24 
24  16 
24  8 

o  35  20 
35  28 
35  36 
35  44 
35  52 

8.88654 
88817 
88980 
89142 
89304 

1  63 
1  63 
162 
162 
1  60 

ii.n346 
in83 

1  1020 

io858 
10696 

8.88783 
88948 
89111 
89274 
89437 

1  65 
1  63 
1  63 
1  63 
161 

ii  .11217 
11062 
10889 
10726 
io563 

10.00129 
ooi3o 
ooi3i 

00  1  32 

oo  1  33 

9.99871 
9987o 
99869 
99868 
99867 

3o 
3i 

32 

33 

34 

I  I  24   0 
23  52 

23  44 
23  36 

23  28 

o  36  o 
36  8 
36  16 
36  24 
36  32 

8.89464 
89625 
89784 
89943 
90102 

161 
159 

i59 
1  59 
1  58 

ii  .io536 
io375 
10216 
10057 
09898 

8.89598 
8976o 
8992o 
90080 
90240 

162 
160 
160 
1  60 
169 

I  I  .  1O4O2 

10240 
10080 

09920 
09760 

io.ooi34 
oo  1  35 
ooi  36 

00  1  37 

oo  1  38 

9.99866 
99866 
99864 
99863 
99862 

3o 

11 

27 
26 

35 
36 
37 
38 
39 

4<> 
4i 

42 

43 
44 

II  23  20 
23  12 

23  4 

22  56 

22  48 

o  36  4o 
36  48 
36  56 
37  4 

37  12 

8.90260 

90417 
90574 
9o73o 
90885 

i57 
1  57 
1  56 
i55 
i55 

ii  .09740 
o9583 
09426 
09270 
09115 

8-$8 

90715 

90872 

91029 

1  58 
1  58 
167 
1  57 

1  56 

II  .09601 

09443 

09285 
09128 

08971 

10.00139 
ooi4o 
ooi4i 
00142 
ooi43 

9.99861 
99860 
99869 
99858 
99867 

25 

24 

23 
22 
21 

It  22  40 
22  32 
22  24 
22  l6 
22   8 

0  37  20 

37  28 
37  36 

37  44 

37  52 

8.91  o4o 
91195 
9i349 
91502 
9i655 

1  55 
1  54 
1  53 
1  53 
162 

i  i  .  08960 
o88o5 
o865i 
08498 
o8345 

8.91185 

9i34o 
9i4Q5 
9i65o 
91803 

i55 
i55 
i55 
i53 
1  54 

11.08816 
08660 

o85o5 
o835o 
08197 

io.ooi44 
ooi45 
ooi  46 
ooi  47 
oo  1  48 

9.99866 
99855 
99854 
99853 
99852 

20 

\l 

IJ 

16 

45 
46 
47 
48 

49 

II  22   0 

21  52 

21  44 
21  36 

21  28 

o  38  o 
38  8 
38  16 
38  24 
38  32 

8.91807 

9'959 
92110 
92261 
92411 

152 

i5i 
i5i 
i5o 
i5o 

11.08193 
08041 
07890 
07739 
o7589 

8.91957 
921  10 
92262 
92414 
92565 

1  53 

152 

162 
i5i 
i5i 

i  i  .08043 
07890 
o7738 
o7586 
o7435 

10.00149 
ooiSo 

OOI  52 

oo  1  53 

00  1  54 

9.99861 
99860 
99848 

99847 
99846 

i5 
i4 
1  3 

12 
I  I 
10 

1 

6 

5o 
5i 
62 
53 
54 
55 
56 
57 
58 
69 

JO 

II  21  20 
21  12 
21   4 

20  56 
20  48 

o  38  4o 
38  48 
38  56 
39  4 
39  12 

8.92561 
92710 
92859 
93007 
93i54 

i49 
149 
1  48 
i47 
147 

i47 
1  46 
1  46 
i45 
i45 
1  44 

ii  .07439 
07290 
07141 
o6993 
06846 

8.92716 
92866 
93o  [6 
93  1  65 
933  1  3 

i5o 
i5o 
149 
1  48 
149 

ii  .07284 
071  34 
06984 
o6835 
06687 

io.ooi55 
oo  1  56 
00167 
oo  1  58 
00169 

9-99845 
99844 
99843 
99842 
9984f 

II  20  40 
20  32 
20  24 
20  l6 
20   8 
20   0 

O  39  20 

39  28 
39  36 
39  44 
39  62 
4o  o 

8.933oi 
93448 
93594 
93740 
93885 
94o3o 

i  i  .  06699 
o6552 
06406 
06260 
o6n5 
05970 

8.93462 
93609 
93756 
93903 

94049 
94i95 

i47 
147 

1  47 
1  46 
1  46 
145 

1  1.  o6538 
06391 
06244 

10.00160 
00161 
00162 
oo  1  63 
00164 
00166 

9.99840 
99839 
99838 
99837 
99836 
99834 

5 
4 
3 

2 

1 
0 

M 

Hourp.M.jHourA.iw. 

Cosine. 

Diff.l' 

Secant. 

Cotangent]  Diff.  l' 

Tangent. 

Cosecant. 

Sine. 

M 

P:'8e19'1                TABLF  XXVII. 
Log.  Sines,  Tangents,  and  Secants.               Of. 
A        A      B        B      C        3  174° 

M 

Hour  A.M. 

Hour  P.M. 

Sine. 

Diff. 

0 
2 

4 
7 
9 

Cosecant. 

Tangent. 

Diff. 

Cotangent 

Secant. 

Diff. 

0 

o 
o 

0 
0 

o 

0 

o 

0 

o 

0 

o 
o 
o 
o 
o 

0 

o 

0 

o 

Cosine. 

M 

0 

i 

2 

3 

4 

II  20  00 
19  52 

19  44 
19  36 
19  28 

o  4o  o 
4o  8 
4o  1  6 
4o  24 
4o  32 

8.94o3o 
94i74 
943i7 
9446i 
946o3 

ii  .06970 
06826 
o5683 

o5397 

8.94196 
9434o 
94485 
9463o 
94773 

o 

2 

4 
7 
9 

1  1.  06806 
06060 
06616 
06370 
06227 

10.00166 
00167 
00168 
00169 
00170 

9.99834 
99833 
99832 
9983  1 
9983o 

60 
69 
58 
67 
56 

5 
6 

8 
9 

ii  1920 

19  12 

19  4 
18  56 
18  48 

o  4o  4o 
4o  48 
4o  56 
4i  4 

4l  12 

8.94746 
94887 
96029 
96170 
953  10 

ii 
i3 
16 
18 

20 

11.06264 
o5u3 
o497i 
o483o 
o469o 

8.94917 
96060 
96202 
95344 
95486 

ii 
i3 

i5 

18 

20 

ii.o5o83 
o494o 
o4798 
04656 
o45i4 

10.00171 
00172 
00173 
00176 
00176 

9.99829 
99828 
99827 
99826 
99824 

55 
54 
53 

52 

5i 

!O 
!  9 

i3 

i4 
75 
1  6 

17 
18 

'9 

ii  i  8  4o 
18  32 
18  24 
18  16 
18  8 

o  4  1  20 
4i  28 
4i  36 
4i  44 
4i  62 

8.96460 
95589 
96728 
96867 
96006 

22 
24 
26 

^3 
35 

37 
39 

42 

ii.o455o 
o44i  i 
04272 
o4i33 
o3995 

8.96627 
96767 
96908 
96047 
96187 

22 
24 

27 

1? 

33 
35 
38 
4o 
42 

11.04373 
04233 
o4o92 
o3953 
o38i3 

10.00177 
00178 
00179 
00180 
00181 

9.99823 
99822 
99821 
99820 
99819 

5d 

49 

48 

47 

46 

ii  18  o 
17  62 

17  44 
1-7  36 
17  28 

o  42  o 
42  8 
42  16 
42  24 

42  32 

8.96143 
96280 

96417 
96553 
96689 

i  i.o3857 
03720 
03583 
o3447 
o33n 

8.96326 
96464 
96602 
96739 
96877 

ii  .03676 
o3536 
o3398 
o326i 
o3i23 

io.ooi83 
00184 
00186 
00186 
00187 

9.99817 
99816 
99816 

99sl3 

45 
44 
43 

42 

4i 
4o 
39 
38 
37 
36 

2  I 

23 

2/4 

26 

27 
28 
29 

3o 
3i 

32 

33 

34 

II  17  20 

17  12 

17  4 
16  56 
16  48 

o  42  4° 
42  48 
42  56 
43  4 
43  12 

8.96826 
96960 
97096 
97229 
97363 

44 
46 
48 
5o 
53 
"55 
57 

64 

o3o4o 
O29o5 

0277! 
02637 

8.97013 
97160 
97286 
97421 
97556 

44 
46 

53 

io.02987 
02860 
02716 
O2579 
02444 

10.00188 
00190 
00191 
00192 
00193 

o 

0 
0 
0 
0 

9.99812 
99810 
99809 
99808 
99807 

ii  16  4o 
16  32 
16  24 
16  16 
16  8 

0  43  20 

43  28 
43  36 
43  44 
43  62 

8.97496 
97629 
97762 
97894 
98026 

ii  .02604 
02371 

02238 

02106 
or974 

8.97691 
97826 
97969 
98092 
98226 

55 
58 
60 
62 
64 

II  .O23o9 

02176 
02041 
oi9o8 

01776 

10.00194 
00196 
00197 
00198 
00199 

9.99806 
99804 
99803 
99802 
99801 

35 
34 
33 

32 

3i 

1  1  16  o 
i5  62 
i5  44 
16  36 
i5  28 

o  44  o 
44  8 
44  1  6 
44  24 
44  32 

8.98167 
98288 
98419 
98649 
98679 

66 
68 

70 
72 
75 

ii.oi843 
01712 
01681 
01461 

Ol32I 

8.98358 
98490 
98622 
98753 
98884 

66 
69 

73 

75 

II  .01642 
01610 
01378 
01247 
on  16 

10.00200 
00202 
O0203 

00204 

O0205 

9.99800 
99798 
99797 
99796 
99796 

3o 

29 

28 

27 

26 

35 
36 

37 
38 
39 

11  l5  20 
l5  12 

i5  4 

i4  56 
i4  48 

o  44  4o 
44  48 
44  56 
45  4 
45  12 

8.98808 
98937 
99066 
99194 
99322 

77 

79 
81 
83 
86 

ii  .01  192 

oio63 
00934 
00806 
00678 

8.99016 
99145 
99276 
99406 
99534 

77 
80 
82 
84 
86 

n  .oo985 
00866 
00726 
oo595 
00466 

10.00207 
O02O8 
O0209 
O02IO 
00212 

9.99793 
99792 
99791 
99790 
99788 

25 
24 
23 
22 
21 

C  -  ?J  00  XT 

xrxrxrxrxr 

ii  i4  4o 
i4  32 
1  4  24 
i4  16 
i4  8 

ii  i4  o 
i3  62 
i3  44 
i3  36 
i3  28 

o  45  20 
45  28 
45  36 
45  44 
45  62 

8.99460 
99577 
99704 
9983o 
99966 

88 
90 
92 
94 
96 

ii  .00660 

00296 
00170 
ooo44 

8.99662 
99791 

999  '9 
9  .  ooo46 
00174 

89 

93 
95 

97 

i  i.  oo338 

00209 
00081 

io.99954 
99826 

IO.002I3 
002  1  4 
00215 
00217 
002l8 

9.99787 
99786 
99786 
99783 
99782 

2O 

'9 
18 

17 
16 

45 
46 

47 

48 
49 

o  46  o 
46  8 
46  16 
46  24 
46  32 

9.00082 
00207 
oo332 
oo456 
00681 

99 

101 

io3 
io5 
107 

i  o  .  999  i  8 
99793 
99668 
99644 
99419 

9.oo3oi 
00427 
oo553 
00670 
00806 

100 
102 

io4 

1  06 
1  08 

10.99699 
99573 
99447 
99321 
99  T95 
10.99070 
98946 
98821 
98697 
98673 

IO.OO2I9 
OO22O 
OO222 
OO223 
OO224 

9.99781 
99780 
99778 
99777 
99776 

i5 

i4 
i3 

12 
I  I 

5o 

5i 

52 

53 
54 

II  1  3  20 
l3  12 

13  4 
12  56 
12  48 

o  46  4o 
46  48 
46  56 

47   4 
47  '2 

9  .  00704 
00828 
00961 
01074 
01  196 

no 

112 

ii4 
116 
118 

10.99296 
99172 
99049 
98926 
98804 

9.oo93o 
01066 

SIS 

0142? 

III 

"7 

120 
122 

124 

126 
128 

1  33 

IO.OO225 
O0227 
00228 
O0229 
0023  1 

9-99775 
99773 
99772 
99771 
99769 

10 

6 

55 
56 

67 
58 

ii  12  4o 

12  32 
12  24 
12  l6 
12   8 
12   O 

o  47  20 
47  28 
47  36 
47  44 
47  52 
48  o 

9.oi3i8 
oi44o 
01661 
01682 
oi8o3 
01923 

121 
123 
125 
127 
I29 
l32 

10.98682 
98660 
98439 
983i8 
98197 
98077 

9.oi55o 
01673 
01796 
01918 

O2040 

02162 

10.98460 
98327 
98204 
98082 
97960 
97838 

10.00232 
00233 

00235 
00236 
00237 

00239 

Diff. 

9.99768 
99767 
99765 
99764 
99763 

b 
4 
3 

2 

I 
O 

M 

Hour  p.M.lHour  A.M. 

Cosim1  Diff. 

Secant. 

Cotangent|Diff. 

Tangent. 

Cosecant. 

Sine. 

M 

950               A        A      B        B      C        C   84' 

1s 

& 

31 

4' 

5' 

6' 

7- 

f  A 

16 

33 

49 

66 

82 

99 

n5 

Prop,  oarts  of  cols.  <  B 

'7 

33 

5o 

66 

83 

IOC 

1  16 

(  C 

o 

o 

o 

i 

1 

i 

1 

s 

G 

M 

> 

Hour  A.M. 

n 

TABLE  XXVII. 

LOJT.  Sines,  Tangents-,  and  Secants. 
A  '      A      B         B      C        C  <7:*r: 

{Jour  P.M. 

Sine. 

Ditr. 

Cosecant. 

Tung-em.  [Diff. 

Coiai.ffnn 

Secant. 

Dirt'. 

Cosine 

Al 
60 

56 
55 
54 
53 

52 

5i 

0 

i 

2 

3 

I  I  12   0 

II  52 

ii  44 
ii  36 
n  28 

o  48  o 
48  8 
48  16 
48  24 
48  32 

9.01923 
07O43 
O2i63 
0^283 

0 

2 

4 
6 

10.98077 
97957 
97837 
97717 
97598 

9.02162 
02283 

02404 

02525 

02645 

o 

2 

4 
6 
8 

10.97838 

97717 
97596 
97475 
97355 

IO.OO9.39 

00240 
0024  1 
00243 
00244 

0 
0 

o 
o 

0 

9976o 
99759 
99757 
99756 

5 
6 

8 
9 

ii  ii  20 

II  12 

ii  4 
10  56 

10  48 

o  48  4o 
48  48 
48  56 
49  4 

49  12 

9.02.520 
02639 
02757 
02874 
02992 

9 

1  1 
i3 
i5 

10.97480 
9736i 
97243 
97126 
97008 

9.02766 
02885 
o3oo5 

03242 

9 
1  1 
i3 

i5 
•7 

10.97234 
971  1  5 
96995 
968-6 
96758 

10.00245 
00247 
00248 
00249 

OO25l 

o 
o 
o 
o 
o 

9.99-55 
99753 
99752 
9975  1 
99749 

10 
1  1 

12 

i3 
(4 

ii  10  4o 

IO  32 

10  2.4 
10  16 
10  8 

o  49  20 

49  28 

49  36 
49  44 
49  52 

9  .o3  109 

0322.6 

o3342 
o3458 
o3574 

'9 

20 
22 
24 
26 

10.96891 

9^.774 

96426 

9-o336i 
o3479 
o3597 
03714 
o3832 

23 

24 

26 

10.96639 
96521 
96403 
96286 
96168 

10.00252 

00253 
00255 
00256 
002.58 

0 

0 
0 
0 
0 

9-99748 
99747 
99745 
99744 
99742 

5o 
49 
48 
47 
46 

16 

'7 
18 

[9 

II  IO   0 

9  52 
9  44 
9  36 
9  28 

o  5o  o 
5o  8 
5o  16 
5o  24 
5o  32 

9-o36oo 
o38o5 
03920 
o4o34 
04149 

28 

3o 
3  1 
33 
35 

37 

39 
4i 

43 

44 

10.96310 

96195 
96080 

95966 
9585i 

9.03948 
o4o65 
04181 
04297 
o44i3 

28 

3o 

32 

34 
36 

10.96052 
95935 
95819 
95703 
95587 

10.00259 
00260 
00262 
00263 
00264 

0 
0 
0 
0 
0 

9.99741 
9974o 
99738 
99737 
99736 

45 
44 
43 

4i 

20 
21 
22. 
2.3 

9.4 

II   9  20 

9  12 

9  4 
8  56 
8  48 

o  5o  4o 
5o  48 
5o  56 
5i  4 

5l  12 

9.0.4262 
04876 
04490 
o46o3 
0471  5 

10.95738 
95624 

95397 
95285 

9.04528 
o4643 

04873 
04987 

38 
3o 

43 
45 

10.95472 
95357 
95242 
95127 
95o  1  3 

10.00266 
00267 
00269 
00270 
00272 

o 

9.99734 
99733 
9973  1 

99728 

4o 

39 
38 

37 
36 

25 

2.6 

2.8 
29 

3, 

3  ) 
33 
34 
35 
36 
37 
38 
39 

ii  8  4o 
8  32 
8  24 
8  16 
8  8 

O  5l  20 

5  1  28 
5i  36 
5i  44 
5  1  52 

9.04828 
o494o 
o5o52 
o5i64 
05275 

46 
48 
5o 

52 

54 
56 
57 
59 
61 
63 

10.95172 
95060 
94948 
94S36 
94725 

9-o5ioi 
o52i4 
o5328 
o544i 
o5553 

47 

49 
5i 
53 
54 

10.94899 
94786 
94672 
94559 
94447 

10.00273 
00274 
00276 
00277 
00279 

9.99727 
99726 
99724 
99723 
99721 

35 
34 
33 

32 

3  1 
3V, 
29 

*7 

26 

n  8  o 
7  52 

7  44 
7  36 
7  2.8 

0  52   0 

52  8 
52  16 

52  2/j 
52  32 

9.o5386 
05497 
05607 
05717 
o5827 

9-o5937 
06046 
06  1  55 
06264 
06372 

10.94614 
945o3 
94093 

9.o5666 
05778 
05890 
06002 
061  1  3 

56 
58 
60 
62 
64 
66 
68 
69 
7' 
73 

10.94334 
94222 
941  10 
93998 

93887 

10.00280 
00282 
00283 
00284 
00286 

9.99720 
99718 
99717 
997.6 
997  '4 

II   7  20 

7  12 

7  4 
6  56 
6  48 

o  52  4o 
5  -i  48 
52  56 
53  4 
53  12 

65 
67 
69 
70 
72 

i  o  .  94o63 
93954 
93845 
93736 
93628 

9.06224 
o6335 
o6445 
o6556 
06666 

10.93776 
93665 
93555 
93444 
93334 

10.00287 
00289 
00290 
00292 
00293 

9.99713 
99711 
99710 
99708 
99707 

25 

24 

23 
2.2 
•21 

4i 

43 

44 

1  1  6  4o 
6  32. 
6  2.4 
6  16 
6  8 

o  53  20 
53  28 
53  36 
53  44 
53  52 

9.06481 
06589 
06696 
06804 
0691  1 

74 
76 
78 
80 
Si 

10.93519 

933o4 
93196 
93o89 

9.06775 
o6885 
06994 
07  1  o3 
0721  1 

75 

77 

79 
81 
83 

10.93225 
93.1*5 

93006 
92897 
92789 

10.00295 
00296 
00298 
00299 
oo3oi 

9.99705 

99704 
90702 

99701 

99699 

'9 

18 

'7 
16 

45 
46 

47 

48 
49 

ii  60 
5  52 

5  44 
5  36 
5  28 

o  54  o 
54  8 
54  16 
54  2.4 
54  32 

9.07018 
07124 
07231 
o7337 

07442 

83 
85 
87 
89 
9' 

10.92982 
92876 

92^9 
92663 
92558 

9.07320 
0742.8 
o7536 
o7643 
07751 

84 
86 
88 

9° 
92 

10.92680 
92572 
92464 
92357 
92.249 

io.oo3o2 
oo3o4 
oo3o5 

00307 
oo3o8 

9.99698 
99696 

99695 
99693 
99692 

i  5 
i3 

I  2 
10 

I 
6 

4 
3 

2 

I 
O 

5o 

5i 

r)2 

53 
r>1 
55 

56 

57 

58 
5  9 

(k> 
3! 

I  I   5  20 
5  12 

5  4 

4  56 
4  48 

o  54  4o 
54  48 
54  56 
55  4 
55  12 

9.07548 
o7653 
o7758 
07863 
07968 

93 

IOO 

10.92452 
92.34-7 
92242 
92i37 
92032 

9.07858 
07964 
08071 
08177 
08283 

9r 
96 

98 
99 

101 

10.92142 
92036 
91929 
91823 
9'7'7 

io.oo3io 
oo3i  i 
oo3i3 

oo3i6 

9.99690 
99689 
99^7 
99686 
99684 

u  4  4o 
4  32 
4  24 
4  :6 
4  8 
4  o 

o  55  20 
55  28 
55  36 
55  44 
55  52 
56  o 

9.08072 
08  1  76 
08280 
o8383 
08486 
o8589 

102 

104 

1  06 
107 
I09 
I  I  I 

10.91928 
91824 
91720 
91617 

9i5i4 
91411 

9.08389 
08495 
08600 
08705 
08810 
08914 

io3 
io5 
107 
109 

10.9161  i 
9i5o5 
91400 
91295 
91190 
91086 

i  o  .  oo3  i  7 
00319 

OO32O 
00322 

oo323 
oo39.5 

— 

9  99683 
99681 
99680 
99678 
99677 
996/5 

Flour  P.  M.I  Hoar  A.M. 

Cosine. 

Diff. 

Secant. 

Cotangent  Diff.  Tangent. 

Cosecant. 

Sine 

M 

C       83° 


Seconds  of  time    '        . 

1s 

2" 

3" 

4s 

5s 

r>' 

7" 

(A 

i4 

sB 

42 

56 

69 

83 

97 

Prop,  ijarts  ol'ools.  <    B 

i4 

28 

42 

56 

70 

84 

96 

I  C 

o 

0 

I 

i 

i 

, 

Pa 
5 

T 

M 

o 

i 

2 

3 
4 

se  192] 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants.               G> 
A        A      B         B      C        C  172° 

H.rur  A  M. 

Hour  P.M. 

Sine. 

Diff. 

Cosecant. 

Tangent.  |Diff. 

Cotangent 

Secant 

Diff. 

0 

o 
c 

0 

• 
o 

o 

o 

0 

o 

Cosine. 

99674 

99672 

99670 
99669 

M 

60 

59 
58 

57 
56 

55 
54 
53 

52 

5, 

II  4  0 

3  52 
3  44 
3  36 
3  28 

o  56  o 
56  8 
56  1  6 
56  24 
56  32 
o  56  4o 
56  48 
56  56 
57  4 

57  12 

9.o8589 
1  o8692 
o87Q5 
08807 
08999 

0 
2 

3 

5 
6 

10 

1  1 
i3 
i4 

10.9141  i 
9i3o8 
91205 
91  ,o3 
91001 

9.089,4 
09019 
09,23 
0922-7 

o 

2 

3 
5 
7 
8 

,0 

ii 
i3 

,5 

10.  9,  086 
9o98  1 
9o877 
90773 

90670 

io.9o566 

9o36o 
90258 
9oi55 

io.oo325 
oo326 
oo328 
oo33o 
oo33. 

5 
6 

7 
8 

9 

i  :  3  20 

3  12 

3  4 
2  56 
2  48 

9.09101 
09202 
09304 
09405 
09506 

io.oo899 
9o798 
9o696 
9o595 
90494 

9.o9434 
09537 

o964o 

09742 

09845 

io.oo333 
oo334 
oo336 
oo337 
00339 

9.99667 
99666 

99664 
99663 
90661 

i  i 

1  2 

1  3 
i4 

11   2  40 
2  32 
2  24 
2  16 
2   8 

o  57  20 
57  28 
57  36 
57  44 
57  52 

9.09606 
09707 

09907 
10006 

16 
18 
!9 

2  I 
22 

26 
27 
29 

3o 

io.9o394 
90293 
9o,93 
9oo93 
89994 

9.o9947 
ioo49 
ioi5o 

I025c 

io353 

16 
18 

20 
21 
23 

io.9oo53 
8995t 
8985o 
89748 
89647 

io.oo34i 
00342 
oo344 
oo345 
oo347 

o  19.99659 
c   996.58 
o   996^6 
o   99655 
o   99653 

5o 

49 

48 
47 
46 

i5 
16 

17 
18 

II   20 
I  52 

i  44 
i  36 
i  28 

o  58  o 
58  8 
58  ,6 
58  24 
58  32 

9  .  i  o  i  06 

10205 

,  io3o4 
10402 
io5oi 

io.89894 
89795 
89696 
89598 
89499 
io.894oi 
893<>3 
892o5 

89oio 

9.  io454 
io555 

io656 
io756 
1  08  56 

24 

26 
28 

3? 

10.89546 

89445 
89344 
89244 
89,44 

10.00349 
oo35o 
oo352 
oo353 
oo355 

o 
o 

0 

9.9965, 
9965o 

99648 

99647 
99645 

44 
43 

42 

4i 

20 
21 
22 
23 

24 

II   I  20 
I  12 

i  4 
o  56 
o  48 

o  58  4o 
58  48 
58  56 
59  4 
59  12 

9.10599 
10697 
10-795 
io893 
10990 

32 

34 
35 
37 
38 

9.io956 
iio56 
in55 

11254 
1  1  353 

33 

34 
36 
37 
39 

10.89044 
88944 
88845 
88746 
88647 

io.oo357 
oo358 
oo36o 
oo362 
oo363 

9.99643 
99642 
99640 
99638 
99637 

4o 

ll 

37 
36 

25 

26 
27 
28 
29 

ii  o  4o 

0  32 

o  24 
o  16 
o  '8 

o  59  20 
59  28 
59  36 
59  44 
5952 

9.  1  108-7 
11184 
11281 

1  1  377 

4o 

42 

43 
45 
46 

io.889i3 
88816 
887i9 
88623 
88526 

n55i 

n649 

H747 
n845 

4i 

42 

44 
46 

47 

io.88548 
88449 
8835  1 
88253 
88  1  55 

io.oo365 
oo367 
oo368 
oo37o 
oo37i 

-- 

9.99635 
99633 
99632 
99630 
99629 

35 
34 
33 

32 

3i 

3o 
3i 

32 

33 
34 

II   00 

10  59  52 

59  44 
59  36 
59  28 

I   O   0 

o  8 
o  16 

o  24 

0  32 

9.11570 
11666 
11761 
u857 
11952 

48 
5o 
5i 
53 
54 
56 
58 

59 
61 
62 

io.8843o 
88334 
88239 
88i43 
88o48 

9.n943 
12040 
I2i38 

12235 
12332 

t 

52 

54 
55 

10.  88057 
87960 
87862 
87765 
8-7668 

10.00373 
oo375 
oo376 
oo378 
oo38o 

9.99627 
99625 
99624 
99622 
99620 

3o 

3 

27 
26 

35 

36 
37 
38 
39 

4o 
4i 

42 

43 

44 

1C  59  20 
59  12 

59  4 
58  56 

58  48 

i  o  4o 
o  48 
o  56 

4 

12 

9.1204-7 
12,42 

12236 

i233i 

12425 

10.8-7953 
87858 
87764 
87669 
87575 

9.  1242? 

12525 

12621 

1*717 

12813 

57 

59 
60 
62 
64 

io.87572 
87475 
87379 
87283 
87187 

io.oo382 
oo383 
oo385 
oo387 
oo388 

9.996,8 
99617 
996,5 
996,3 
99612 

25 
24 
23 
22 
21 

10  58  4o 
58  32 

58  24 
58  16 
58  8 

I      20 
28 

36 
44 

52 

9.1*519 

I  26  1  2 
12706 
12799 
12892 

64 
66 
67 

69 
7o 

10.87481 
87388 
87294 
87201 
87108 

9.  I2909 

1  3oo4 
i3o99 
13194 
i3289 

65 

67 
68 

7o 

72 

10  '86996 
86901 
86806 
86711 

io.oo3oo 
00392 
00393 
00395 
0039-7 

9.99610 
99608 
99607 

99603 

20 
I9 

18 
1  7 
16 

45 
46 
47 
48 

49 

10  56  o 
57  52 
57  44 
57  36 
57  28 

120 
2   8 
2  16 
2  24 
2  32 

9.  12985 

i3o78 
i3i7i 
i3263 
i3355 

9-i3447 
1  3539 
i363o 

l3722 

i38,3 

•72 
74 
75 
77 
78 

10.87015 
86922 
86829 
86737 
86645 

9.i3384 
i3478 
i3573 
i3667 
i376i 

73 

77 
78 
80 

10.86616 
86522 
86427 
86333 
86239 

10.00399 
oo4oo 
00402 

oo4o5 

9.996oi 

99598 
99596 

1  4 

,3 

12 
,  I 

5o 
5, 

52 

53 
54 

IO  57  20 
57  12 

57  4 
56  56 
56  48 

I   2  40 

2  48 
2  56 
3  4 

3  12 

80 
82 
83 
85 

87 

io.86553 
8646  r 
8637o 
86278 
86187 

9.i3854 
i3948 
i4o4i 
i4i34 

81 
83 
85 
86 
88 

10.86,46 
86o52 
85959 
85866 
85773 

io.oo4o7 
00409 
oo4i  i 
00412 
oo4i4 

2 

2 
2 
2 
2 
2 

9  99593 
99501 

99588 
99586 

IO 

6 

55 
56 

5- 
58 
59 
60 

10  56  4o 
56  32 
56  24 
56  16 
56  8 
56  o 

I   3  20 

3  28 
3  36 
3  44 
3  52 
4  o 

9.i39o4 
i3994 
i4o85 

14266 
i4356 

88 
90 

96 

,0.86096 
86006 
859  1  5 
8582.5 
857  'M 
85644 

9.14320 
14412 

i4597 
i46S8 
14780 

9° 
96 

io.8568o 
85588 
8  5496 
85463 
853,2 

85220 

io.oo4i6 

00419 

00421 

00425 

9.99584 
99582 
9958, 

99579 
99577 
99575 

4 
3 

2 
I 

O 

M 

M 

Hour  P.M. 

Hour  A.M. 

Cosine. 

Diff. 

Secant. 

Cotargcnt 

Diff. 

Tangent. 

Cosecant. 

Diff. 

Sine. 

(J7o                 A        A       B        B      U         V   Vi- 

Seconds of  time  

1" 

2s 

3s 

4" 

5« 

6s 

7* 

f  A 

12 

24 

36 

48 

60 

72 

84 

Prop,  parts  of  cols.  3  B 

12 

24 

37 

49 

61 

73 

86 

tc 

0 

0 

i 

! 

i 

i 

1     1 

s 

3° 

M 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
A        A       B        B       C 

Diff 

[Page  193 
G 
C  171° 

lour  A.M. 

Hour  P.M. 

Sine. 

Diff. 

Cosecant. 

Tangent. 

Diff. 

Cotangent 

Secant. 

Cosine. 

M 

0 
2 

3 

4 

o  56  o 
55  5a 
55  44 
55  36 
55  28 

i  4  o 
4  8 
4  16 
4  24 
4  32 

9.14356 
i4445 
i4535 
14624 
i4?i4 

0 

i 
3 
4 
6 

0.85644 
85555 
85465 
85376 
85286 

9.14780 
14872 
14963 
i5o54 
i5i45 

o 
i 
3 
4 
6 

IO.8522O 

85i28 
85o37 
84946 
84855 

lo.oo425 
00426 
00428 
oo43o 
oo432 

o 
o 

0 
0 

o 

9.99575 
99574 
995-72 

995-70 
99568 

60 

% 

57 
56 

5 
6 

7 
8 

9 

o  55  20 
55  12 
55  4 
54  56 
54  48 

i  4  4o 
4  48 
4  56 
5  4 

5  12 

9-i48o3 
14891 
14980 
1  5o69 
i5i5? 

8 

10 

1  1 
i3 

0.85197 
85  1  09 
85o20 
8493i 
84843 

9.i5236 
i5327 

i54i7 
i55u8 
i5598 

7 
9 

10 
12 

i3 

10.84764 
84673 
84583 
84492 
84402 

;o.  oo434 
oo435 
00437 
oo439 
00441 

o 

0 
0 

o 

9.99566 
99565 

99f>63 
9956i 
99559 

55 
54 
53 

52 

5i 

10 

1  1 

12 

i3 
i4 
i5 
1  6 

18 
r9 

10  54  4o 
54  32 
54  24 
54  16 
54  8 

I   5  20 

5  28 
5  36 
5  44 
5  52 

9.i5245 
1  5333 
1  542  1 
i55o8 
15596 

i4 
16 
17 
18 
20 

0.84755 
8466-7 
84579 
84492 
844o4 

9.i5688 
15777 
i5867 
i5956 
16046 

4 
16 

17 

'9 
ao 

io.843i2 
84223 
84i33 
84044 
83954 

io.oo443 
00444 
oo446 
oo448 
oo45o 

0 
0 
0 
0 

o 

9.99557 
oo556 
99554 

99552 
9955o 

DO 

<4o 

47 
46 

10  54  o 
53  52 
53  44 
53  36 
53  28 

i  6  o 
6  8 
6  16 
6  24 
6  32 

9.i5683 
15770 
i5857 
i5944 
i6o3o 

9.  161  16 
i6ao3 
16289 
i6374 
1  646o 

21 

23 
24 
25 

27 

10.84317 
8423o 
84  1  43 
84o56 
83970 

9.  i6i35 
16224 
i63i2 
i64oi 

16489 

22 
23 
25 

26 

27 

10.83865 
83776 
83688 
83599 
83511 

io.oo452 
oo454 
oo455 
oo457 
00459 

o 

9.99548 
99546 

99545 
99543 
9954. 

45 
44 
43 
42 
4i 
4o 

i* 

37 
36 

iO 
21 
22 
23 
24 

10  53  20- 
53  12 
53  4 
52  56 
52  48" 

i  6  4o 
6  48 
6  56 
7  4 
7  12 

28 

3o 
3i 

32 

34 

10.83884 
83797 
837u 
83626 
8354o 

9.16577 
1  6665 
i6753 
1  684  1 
16928 

Q9 

3o 

32 

33 
35 

10.8349.3 
83335 
83247 
83i59 
83o72 

10.00461 
oo463 
oo465 
00467 
oo468 

9.99539 
99537 
99535 
99533 
99532 

25 

26 

27 
28 
29 

10  52  4o 

52  32 
52  24 

52  16 
52  8 

i  7  20 
7  28 
7  36 
7  44 
7  52 

9.16545 
1  663  1 
16716 
16801 
16886 

35 

37 
38 

g 

io.83455 
83369 
83284 
83,99 
83u4 

9.17016 
17103 
17190 

17277 
i7363 

36 

37 
39 
4o 

42 

10.82984 
82897 
82810 

82723 

82637 

10.00470 
00472 
oo4i4 
00476 
00478 

9.99530 
995a8 
99626 
99524 

99522 

35 

34 
33 

32 

3i 

3o 
3i 

3? 
33 
34 
35 
36 

37 
38 
39 

10  52   0 

5i  52 
5i  44 
5i  36 
5i  28 

i  8  o 
8  8 
8  16 
8  24 
8  32 

9.16970 
I7o55 
17139 
17223 

17307 

9.17391 

17474 
i7558 
i764i 

17724 

4a 
44 
45 
47 
48 

io.83o3o 
82945 
82861 

82777 
82693 

9.i745o 
i7536 
17622 

17708 
17794 

43 
45 
46 
48 
49 
5o 

52 

53 

55 
56 

io.8255o 
82464 
82378 
82292 
82206 

10.00480 
00482 
oo483 
oo485 

00487 

9.99520 

995i8 

995l7 

995i5 
99_5i3 

3o 
?o 

28 
27 
26 

25 
2^ 
2C 

22 
'i\ 

20 

'9 
l8 
17 

16 
75 
i4 

K 
12 
II 

10  5l  20 
5l  12 

5i  4 
5o  56 
5o  48 

i  8  4o 
8  48 
8  56 

9  4 
9  12 

49 
5i 

52 

54 
55 

10.82609 
82526 
82442 
82359 
82276 

9.17880 
i-965 
iBo5i 
i8i36 
18221 

10.82120 
82o35 
81949 
81864 
8i779 

10.00489 
00491 
00493 
.  00495 
00497 

9.99511 
99509 

995o7 
995o') 
995o3 

4o 
41 

42 
43 
44 

10  5o  4o 
5o  32 
5o  24 
5o  16 
5o  8 

i  9  20 
o  28 
$  36 
9  44 
9  52 

9.17807 
17890 
17973 
i8o55 
i8i37 

56 
58 

> 
61 
62 

10.82193 
82110 
82027 
8i945 
8  [863 

9.i83c6 
18391 
i8475 
i856o 
1  864*' 

58 

59 
61 
62 
63 

10.81694 
81609 
8i525 
8i44o 
8  1  356 

10.00499 
oo5oi 
oo5o3 
oo5o5 
oo5o6 

9.99501 

99^99 
99497 
99495 
99494 

45 
46 
47 
48 

49 

10  5o  o 
49  52 
49  44 
49  36 
49  28 

I  IO   O 

10  8 
10  16 

10  24 
IO  32 

9.18220 
i83o2 
i8383 
1  8465 
i8547 

63 
65 
66 
68 
69 

10.81780 
81698 
81617 
8i535 
8t453 

0.1  3728 

18812 
18896 
18970 
19063 

65 
66 
68 
69 
7i 

10.81272 
81188 
81104 
81021 
8o937 

io.oo5o8 
ooSio 
oo5  1  2 
oo5i^ 
oo5i6 

I 
I 
I 

2 
2 

9.99492 
99490 

99488 
99486 
99484 

5o 
5i 

52 

53 
54 
55 
56 
5? 
58 
59 
6c 

10  49  20 

49  12 
49  4 
48  56 
48  48 

i  10  4o 
10  48 
10  56 
ii  4 

II  12 

9.18628 
18709 
18790 
18871 
18962 

7i 
72 
73 
75 
76 

10.81372 
81291 
81210 
81  129 
81048 

9.19146 
19229 
19312 
i9395 
19478 

72 
74 
75 

76 

78 

io.8o854 
80-771 
80688 
8o6o5 

80522 

io.oo5i8 
oo520 

O0522 

oo52^ 
oo526 

2 
2 
2 
2 

2 

9-99482 
99480 
99478 

99476 
994?4 

IO 
O 

8 
6 

10  48  4o 
48  32 

48  24 
48  16 
48  8 
48  c 

I  II  20 
II  28 

ii  36 

1  1  4^ 

II  52 
12   O 

9.19033 

191  K 
I9!93 
1927; 
19353 
1943,1 

78 

79 
80 
82 
83 
85 

Diff 

10.80967 
80887 
80807 
80727 
80647 
8o567 

9.19561 
19643 
19725 
19807 
19889 
19971 

79 
81 

82 
84 
85 
87 

10.80439 
8o357 
80275 
80193 
80111 
80029 

10.00528 
oo53o 
oo532 
oo534 
oo536 
oo538 

2 
2 
2 
2 
2 
2 

9-99472 
9947" 

99468 
99466 
99464 
9946a 

c 
i 

I 

O 

M 

Hour  P.  M 

Hour  A.  M 

Cosine. 

Secant. 

Cotangen 

Diff 

Tangent. 

Cosecant 

Diff 

Sine. 

M 

96° 


C 


C      810 


1" 

Os 

T 

<18 

5§ 

6s 

7" 

(A 

1  1 

21 

32 

42 

53 

63 

74 

Prop,  parts  of  cols.  <   B 

1  1 

22 

32 

43 

54 

65 

76 

(  C 

o 

() 

' 

i 

i 

i 

3 

Pageiy1'                TABLE  XXVJI. 
Log.  Sines,  Tangents,  and  Secants.               G'. 
9°               A        A      B        B      C        C  170° 

M 

lour  A.M.  Hour  P.M. 

Sine. 

Diff.J  Cosecant. 

Tangent. 

D  ff.  'Cotangent 

Secant. 

Diff. 

Cosine. 

9-99462 
9946o 
99458 
99456 
99454 

M 

0 

i 

2 

3 

4 

o  ^8  o 
47  5; 

47  44 
47  36 

47  28 

I  12   G 
12   8 
12  l6 
12  24 
12  32 

9.  i  9433 
•  i95i3 
19693 

19672 
19751 

o 
3 

4 

io.8o567 
80487 
8o4o8 
8o328 
80249 

2oo53 
20  1  34 
202  1.  6 

2O297 

o 
I 

4 
5 

10.80029 
79947 
79866 
79784 
797Q3 
10.  -79622 

79460 
79379 
79299 
10.79218 
791  38 
79058 
78978 
78898 

io.oo538 
oo54o 
00542 
oo544 
oo546 

o  ; 
o  i 

0 

o 

0 

60 

58 

57 

6 

8 

9 

10  47  20 
47  12 
47  4 
46  56 
46  48 

I  12  40 

12  48 
12  56 
i3  4 

l3  12 

9.19830 

20067 
2oi45 

6 
8 
9 

10 

ii 

i  o  .  80  i  70 
80091 
80012 

79933 
79855 

9.2o378 
20459 
2o54o 
20621 
20701 

6 
8 
9 

10 
12 

io.oo548 
oo55o 
oo552 
oo  5  54 
oo556 

o 

0 
0 
0 

o 

9.99452 
9945o 
99448 
99446 
99444 

55 
54 
53 

52 

5i 

10 

I  2 

i3 
i4 

10  46  4o 
46  32 
46  24 
46  16 
46  8 

i  1  3  20 
i3  28 
i3  36 
i3  44 
i3  52 

9.20223 

20302 

2o38o 
20458 
2o535 

i3 
i4 
i5 
16 
18 

io.79777 
79698 
79620 
79543 

79465 

9.20782 

20862 
20942 

21022 
21  102 

i3 

i4 
16 

17 
18 

io.oo558 
oo56o 
oo562 
oo564 
oo566 

o 
o 

0 
0 
0 

9.99442 

99438 
99436 
99434 

5o 

47 
46 

i5 
16 

18 

'9 

10  46  o 
45  52 
45  44 
45  36 
45  28 

i  14  o 
i4  8 
i4  16 
r4  24 
i4  3* 

9.  2061  3 

2069I 

20-768 
2o845 

20922 

20 
21 
23 

24 

io.79387 

79232 

79.55 
79o78 

9.21182 
2126l 

2i34i 
21420 

21499 

19 

21 
22 
23 
25 

10.78818 
78739 
78659 
7858o 
785oi 

io.oo568 
oo57i 
oo573 
oo575 

00577 

9-99432 
99429 
99427 
99425 
99423 

45 
44 
43 

42 

4i 

20 

21 
22 
23 

24 
25 

26 
27 
28 
29 

IO  45  20 
45  12 

45  4 
44  56 

44  48 

i  i4  4o 
1  4  48 
i4  56 
i5  4 

15  12 

9.20999 
2I076 

3ii53 
21229 
2i3o6 

25 

26 
28 

~3T 
33 
34 
35 

37 

io.79ooi 
78924 
78847 

78771 
78694 

9.21578 
2i657 
2i736 
21814 
21893 

26 

27 
28 

3o 
3i 

10.  78422 

78343 

•78264 
•78186 
7810-7 

i  o.  00579 
oo58i 
oo583 
oo585 
oo587 

— 

9-99421 
99419 
99417 
994  1  5 
994  '  3 

9-994" 
99409 

99407 
99402 

4o 
39 

38 

37 
36 

10  44  4o 
44  32 
44  24 
44  16 
44  8 

I  1  5  2C 

i5  28 
1  5  36 
1S  44 

IS  52 

9.21382 
2i458 
2  1  534 
21610 
2  1  685 

10.78618 
78542 
78466 
7839o 
783i5 

9.219-71 

2.2049 

22I27 
222O5 
22283 

32 

34 
35 
36 
38 

10.  -78029 

77873 
77795 
77717 

io.oo589 
oo59i 
oo593 
oo596 
oo598 

35 
34 
33 

32 

3i 

3o 
3  1 

3  2 

33 
34 
35 

3  7 
38 
39 

10  44  o 
43  52 
43  44 
43  36 
43  28 

i  10  o 
16  8 
16  16 
1  6  ->4 
16  32 

9.21-761 
2  1  836 
21912 
2198-7 
22062 

38 

39 
4o 
42 
43 

10.78239 
78164 
78088 
78013 
77938 

9.2236l 
22438 
22516 
22593 

22670 

39 
4o 
4i 
43 
44 

io.77639 
77562 
77484 
774o7 
7733o 

10.00600 
00602 
00604 
00606 
00608 

9.99400 
99398 
99396 
99394 
99392 

3o 

11 

27 
26 

25 

23 
25 
21 

IO  43  20 

43  12 
43  4 
42  56 
42  4b 

i  1  6  4o 

16  48 
16  56 
17  4 
17  13 

9.2213-7 

2221  1 
22286 
2236l 

22435 

44 
45 
47 
48 

49 

io.77863 
77789 
777'4 
77639 
77565 

9.22747 
22824 
22901 

2297- 

a3o54 

45 
47 
48 

49 
5o 

10.77253 
77176 
77099 
77023 
•76946 

10.00610 

006  12 

006  1  5 
00617 
006  19 

9.9939f 
99388 
99385 
99383 

9938, 

4o 

4  1 
42 
43 
44 

10  42  4o 

42.  32 

42  24 
42  16 

42  8 

I   I7  '20 
1J  28 

17  36 
i7.44 
17  5. 

9.22509 
22583 

22657 

2273. 
22805 

5o 

52 

53 
54 
55 

io.7749i 
774i7 
77343 

7726° 
77  1  95 

9.23i3o 
23206 
23283 
23359 
23435 

52 

53 
54 
56 

57 

10.76870 
76794 
76717 
•76641 
76565 

10.00621 
00620 
00625 
00628 
oo63o 

9.99379 
99377 

99372 

2O 

'9 
1  8 

16 

45 
46 
47 
48 

49 

to  42  o 
4i  52 
4i  44 
4i  36 
4i  28 

i  18  o 
18  8 
18  16 
18  24 
18  32 

9.22878 
2295? 
23025 

23098 
23171 

57 
58 

59 
60 
62 

10.77122 
77048 
76975 
76902 
7682  9 

9.235io 
23586 
2366  1 
23737 

238  I  2 

58 
60 
61 
62 
63 

10.76490 

76339 
76263 
•76188 

io.oo632 
006  3^ 
oo636 
oo638 
00641 

9.99368 
99366 

9936j 

09359 

9'^1 
99353 
9935i 
99348 

\L 

12 
I  I 

5o 
5i 

53 

54 

10  4i  20 

4l  12 

4i  4 
4o  56 
4o  48 

i  18  4o 
18  48 
18  56 
19  4 
19  12 

23390 

23462 
23535 

63 
64 
65 
67 
68 

io.76756 
76683 
•76610 
76538 
76465 

9.  23887 
23962 

24112 
24186 

65 
66 

67 
69 
70 

io.76i  i3 
76o38 

75888 
758i4 

io.oo643 
oo645 
oo647 
00649 
oo652 

2 
2 
2 

10 

8 
6 

55 
56 

57 
58 
59 
60 

10  4o  4o 
4o  32 
4o  2^ 
4o  16 
4o  8 
4o  c 

I  19  21 
19  28 

19  36 
19  44 
19  52 
20  o 

9.23607 
23679 

23752 

23823 
23895 
23967 

69 

72 

73 
74 
76 

io.76393 
7632i 
•76248 

76177 
76io5 
76o33 

9.  24261 
24335 
244io 
24484 
24558 

24632 

73 
74 
75 
76 
78 

io.75739 
7  5665 
75590 

755i6 
75442 
75368 

io.oo654 
oo656 
oo658 
00660 
oo663 
oo665 

|  2 

!  2 

2 
2 
2 

i)iff 

9.99346 
99344 

99342 
9934c 
99337 
99335 

t 
i 

0 

M 

Hour  A.M 

Cosine.  Diff 

Secant. 

Cotangent 

Diff 

Tangent. 

Cosecant. 

Sine. 

A! 

I*?                A        A      B        B      C        U   80< 

Seconds  of  time  

1" 

2" 

3' 

4' 

5' 

H' 

7" 

(A 

9 

19 

28 

38 

47 

57 

66 

B 

10 

W 

29 

39 

49 

58 

68 

C 

c 

i 

i 

i 

i 

TABLE  XXVII.                       [Page  195 

Log.  Sines,  Tangents,  and  Secants.              G'~ 
10°               A        A      B        E      C        C  169° 

M 

I  lour  A.M. 

Hour  P.  M 

Sine. 

Diff. 

Cosecant. 

1  angent. 

Diff. 

Cotangent 

Secant. 

Diff.l 

Cosine. 

M 

o 

i 

2 
q 

4 

10  4«   0 

39  52 
39  44 
39  36 
39  28 

tO  39  20 
39  12 

39  4 
38  56 
38  48 

I  2O   O 

20  8 
20  16 
20  24 

20  32 

9.23967 
24039 
24  no 
24181 
24253 

o 
i 

2 

3 

5 

io.76o33 
7596. 
7589o 
758.9 

75747 

9-24632 
24706 

24779 
24853 
24926 

0 

i 

2 

4 
5 

io.75368 
75294 
75221 
75i47 
75o74 

io.oo665 
0066-7 
00669 
00672 
00674 

0 
0 
0 
0 
0 

9.99335 
99333 
9933. 
99328 
99320 

60 
59 
58 
57 
56 

55 
54 
53 

52 

5i 

6 

7 
8 

9 

i  20  4o 
20  48 
20  56 

21   4 
21  12 

9.24324 
24395 
24466 
24536 
24607 

6 

8 
9 

10 

10.75676 
756o5 
75534 
75464 
75393 

9.25ooo 
25o73 
25i46 

252I9 
25299 

6 

7 
8 

9 
1  1 

10.75000 
74927 
74854 
74781 

74708 

10.00676 
00678 
00681 
oo683 
oo685 

0 
0 
0 
0 
0 

9.993-;4 
99322 
99319 

993,7 
993.5 

10 
1  1 

12 

1  3 

i4 

10  33  4o 
38  32 
38  24 
38  16 
38  8 

I  21  20 
21  28 
21  36 
21  44 
21  52 

9  24677 
24748 
24818 
24888 
24958 

1  1 
i3 

i4 
i5 
16 

10  75323 
75252 
75i82 

75  I  12 

75o42 

9.  25365 
25437 
255io 
25582 
25655 

12 

i3 
i4 
i5 
1.6 

10.74635 
74563 
7449o 
744  1  8 
74345 

10.00687 
00690 
00692 
00694 
00696 

0 

o 

0 

I 
I 

9.993i3 
993.o 
993o8 
99806 

993o4 

5o 

49 
48 

47 
46 

i5 
16 

18 
'9 

10  38  o 

37  52 
3?  44 
37  36 
37  28 

I  22   0 
22   8 
22  l6 
22  24 
22  32 

9.25028 
25o98 
25  1  68 
a5a37 
253o7 

17 
18 

19 

20 

22 

I0.74972 

74902 

74832 
74763 
74693 

9.25727 

25799 
2587i 
25943 
260  1  5 

18 

19 

20 

21 
22 

10.74273 
74201 
74  129 

740^7 
73985 

i  o  .  oo699 
00701 
oo7o3 
00706 
00708 

I 
I 
I 

9.993oi 

99299 
99297 
99294 

99292 

45 
44 
43 
42 
4i 

20 

21 
22 

23 
24 

10  37  20 

37  12 
37  4 
36  56 
•  36  48 

I  22  40 
22  48 
22  56 

23  4 

23  12 

9.25376 
25445 
255i4 
25583 
25652 

23 
24 
25 

26 

27 

10.74624 
74555 
74486 

744«7 
74348 

9.  26086 
26  1  58 

2&229 
26301 
26372 

24 
25 

26 

27 
28 

10.73914 
73842 
73771 
73699 
73628 

10.00710 
00712 
oo7i5 
oo7  1  7 
00719 

I 
I 

I 
I 
I 

9-9929° 
992.88 
99a85 
99283 

9928l 

4o 

£ 

37 
36 

a  5 

26 

27 
98 
29 

10  36  4o 
36  32 
36  24 
36  16 
36  8 

I  23  20 
23  28 

23  36 

23  44 

23  52 

9.25721 
25790 
25858 
25927 
25995 

28 

3o 
3i 

32 

33 

10.742791 
74210 
74142 
74o/3 
74oo5 

9.  26443 

265  1  4 
26585 
26655 
26-726 

3? 

32 

33 

34 

io.73557 
73486 
734i5 
73345 
73274 

10.00-722 
00-724 
00-726 

007  2  9 

oo73  1 

I 

I 
I 
I 
I 

I 
I 

9-99278 
99276 
99274 
99271 
99269 

35 
34 
33 

32 

3i 

Jo 
3i 

39 

33 

34 
35 

36 
37 
38 
39 

10  36  o 
35  52 
35  44 
35  36 
35  28 

I  24   0 

24  8 
24  16 
24  24 

24  32 

9.26063 
26i3i 
26.99 
26267 
2.6335 

34 
35 
36 
38 
3-9 

10.73937 
73869 
738oi 
73733 
73665 

9.26797 
26867 
26937 
27oo8 

27078 

35 
36 
38 
39 

4o 

10.73203 
73  1.  33 

73o63 
72992 
72922 

io.oo733 
oo736 
oo738 
oo74o 

oo743 

9-99267 
99264 
99262 
99260 
992.57 

3o 
20 
28 

27 
26 

10  35  20 
35  12 
35  4 
34  56 
34  48 

i  24  4o 
24  48 
24  56 
25  4 

25  12 

9  .  264o3 
26470 
26538 
26605 
26672 

4o 
4i 
42 
43 
44 

10.73597 
7353o 
73462 
73395 
73328 

9.27i48 

272l8 

2-7288 

27357 

27427 

4i 

42 
44 
45 
46 

I0.72852 

72782 

727.2 
72643 

72573 

io.oo745 
oo748 
00760 
007  5  2 

00755 

I 
2 

9.99255 
99252 

992.5o 

99248 
99245 
9.99243 
99241 

99238 
99236 
99233 

25 
2<^ 
2: 
22 
21 
20 

19 
£ 

6 

4o 
4i 
42 
43 
44 

10  34  4o 
34  32 
34  24 
34  16 
34  8 

I  25  20 
25  28 

25  36 
25  44 

25  52 

9.26739 
26806 
26873 
26940 
27007 

45 

47 
48 

i9 
5o 

10.73261 
73i94 
73i27 
73o6o 
72993 

9.27496 
27566 
27635 

277o4 

27773 

47 

48 

& 

52 

10.72504 

72434 

72365 
72296 
7222-7 

10.00757 

00759 
00762 
00764 
00767 

2 
2 
2 
2 
2 

45 
46 
47 
48 
49 

10  34  o 
33  52 
33  44 
33  36 
33  28 

I  26   0 

26  8 
26  16 
26  24 
26  32 

9.27073 
27140 
27206 

27273 

27339 

5i 

52 

53 

55 
56 

10.72927 
72860 
72794 
72727 
7266! 

9.  27842 

279n 

279)80 
28o49 
28117 

53 

54 
55 
56 
58 

59 
60 

61 

62 
63 

io.72i58 
•72089 
72020 
71951 

7  1  883 

io.oo769 
00771 
00774 
00776 
oo779 

2 
2 
2 
2 
2 
2 
2 
2 
2 
2 

9.99231 

99229 
99226 
99224 
99221 

r 

Z 

I  I 

10 
0 

8 
6 

5o 
5i 

52 

53 
54 
55 
56 
57 
58 
59 
60 

10  33  20 
•  33  12 
33  4 
32  56 
32  48 

i  26  4o 
26  48 
26  56 

27  4 

27  12 

9-274o5 
27471 
27537 

2  7602 

27668 

57 
58 

r9 
60 

6. 

10.72595 
72529 
72463 
723o8 

72332 

9.  28186 
28254 
,  28323 
2839i 
28459 

10.71814 
7  1  746 
71677 
71609 
7i54i 

10.00781 
oo783 
00786 
00788 
O079i 
io.oo793 
00796 
oo798 
00800 
oo8o3 
oo8o5 

9.99219 
99217 
99214 
99212 
99209 

10  32  4o 

32  32 
32  24 

32  16 
32  8 

32   0 

I  27  20 

27  P.8 

27  36 
27  44 
27  52 
28  o 

9.27734 
27799 
27864 
27930 
27995 
28060 

63 
64 
65 
66 
67 
68 

10.72266 
72201 

72136 

72070 
72005 

71940 

9.  28527 
28595 
28662 
28730 
28798 
28865 

65 

66 
67 
68 
69 

71 

10.71473 

7r4o5 
7i338 

7I270 

•71202 
7ii35 

2 
2 
2 
2 
2 
2 

9.99207 
99204 
99202 
99200 
99197 
99i95 

c 

4 

I 

O 

M 

Hour  P.  M 

Hour  A.  M 

Cosine. 

Diff 

Secant. 

Cotanger  ' 

Diff 

Tangent. 

Cosecant. 

Diff. 

Sine. 

M 

100°              A        A      B        B      C        C   79° 

Seconds  of  time  

i- 

2B 

33 

4" 

5- 

6s 

7- 

(A 

9 

17 

26 

34 

^3 

5i 

60 

Prop,  parts  of  cols.  <   B 

9 

18 

26 

35 

44 

53 

62 

(  C 

o 

i 

i 

i 

i 

2 

2 

Pageiiu]                 TABLE  XXVII. 

Log.  Sines,  Taiigonts,  and  Secants. 
11°               A        A      B        B      C 

G  . 
C  168° 

;»! 

lour  A.M.!  Hour  P.M. 

Sine. 

DirT. 

Cosecant 

Tangent. 

Oiff.C 

Cotangent 

Secant. 

Jiff. 

Cosine. 

M 

0 
2 

3 
4 

5 
6 

7 
8 

9 

10 

1  1 
12 
i3 

i4 

0  32   0 

3i  52 
3i  44 
3i  36 
3  1  28 

1  28   0 

28  8 
28  16 
28  24 

28  32 

.28060 
28125 
28:90 
28254 
28319 

0 

i 

2 

3 
4 
5 
6 

7 
8 

9 

0.71  940 
71876 
71810 
71746 
71681 

9- 

28866 
28933 
29000 
29067 
29134 

o 

I 

2 

3 

4 

o.7u35 
71067 
71000 
7o933 
70866 

o.  0080  5 
00808 
00810 
008  1  3 
00816 

0 

o 

0 
0 
0 

>.  99196 

99  '93 
99i9o 
99,87 
99  1  85 

?.99l82 

99180 
99!?7 
99176 
99172 

i 

^7 
56 

0  3l  20 
3l  12 

3i  4 
3o  56 
3o  48 

i  28  4o 

28  48 
28  56 
29  4 

29  12 

.28384 
28448 

285  12 

28577 
28641 

0.71616 
7i552 

7t488 
7i423 
7.359 

9- 

29201 
29268 
29335 
29402 
29468 

5 
6 
8 

9 
10 

0.70799 
70732 
70666 
70698 
70632 

0.00818 
00820 
00823 
00826 
00828 

0 

o 
o 
o 

0 

R,5 
54 
53 

52 

61 

o  3o  4o 
3o  32 
3o  24 

3o  i6| 
3o  8 

I  29  20 
29  28 

29  36 
29  44 
29  52 

9.28705 
28769 
28833 
28896 
28960 

10 
ii 

12 

i3 

i4 

0.71295 
7ia3i 

71167 
71104 
71040 

9- 

29535 
29601 
29668 
29-34 
29800 

ii 

12 

i3 

i4 
i5 

i  0.7046  5 
7o399 
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70200 

o.oo83o 
008  3  3 
oo835 
oo838 
00840 

0 
0 

9.99170 
99167 
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5o 

49 
48 

47 
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i5 

16 

17 
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o  3o  o 

29  5  2 
29  44 
29  36 
29  28 

i  3o  o 
3o  8 
3o  16 
3o  7  A 
3o  3a 

9.29024 
29087 
29150 
29214 
29277 

16 

17 
18 

•9 

20 

0.70976 
70913 
7o85o 
70786 
70723 

9.29866 
29932 

3oi3o 

16 

17 
18 

19 

20 

10.70134 
70068 
70002 
69936 
•  69870 

io.oo843 
oo845 
00848 
008  5o 
oo853 

-- 

9.  991167 
99i55 

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45 
44 
43 

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4i 
4o 

39 
38 
37 
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20 

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i2 

•a  3 
a4 

o  29  20 

29  I  2 

29  4 
28  56 
28  48 

i  3o  40 
3o  48 
3o  56 
3i  4 

3l  12 

9.29340 
29403 
29466 
29529 
2959, 

21 

22 
23 

24 

25 

o  .  70660 
70597 
7o534 
70471 
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9 

3oi95 
3o26i 
3o326 
3o39i 
3o457 

22 
23 
24 

26 
26 

10.69806 

69739 
69674 
69609 
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10.00866 
00868 
00860 
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9-99'45 
99142 
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991  37 
99i35 

25 

^6 

28 

2  9 

10  28  4o 
28  32 
28  24 
28  16 
28  8 

J  3  1  20 

3i  28 
3i  36 
3.  44 
3i  52 

9.29654 
29716 
29779 
29841 

291903 

26 
27 
28 

3? 

10.70346 
70284 
70221 
70169 

70097 

9 

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3o587 
3o652 
30717 
30782 

27 

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3o 
3i 

10.69478 
69413 
69348 
69283 

6Q2l£ 

10.00868 
00870 
00873 
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9.9913? 
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35 
34 
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3- 
3  a 

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10  28  o 

27  52 
27  44 
27  36 
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I  32   0 

32  8 
32  16 

32  24 
32  32 

9.29966 

30028 
30090 
3oi5i 

3O2K 

3i 

32 

33 

34 
35 

1  0  .  70034 

6997? 
69910 
69849 
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9.30846 
3091  1 
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3  1  10^ 

32 

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10.00881 
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9.99119 
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10  27  20 
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i  32  4c 
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9.30275 

3o33f 
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36 
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4o 

10.69726 

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6954i 
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io.68832 
68767 
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10.00894 
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9.99106 
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10  26  4o 

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26  Ii 
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26  8 

i  33  20 
33  28 
33  36 
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33  5? 

9.3o582 
3o643 
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3o?6! 

3o82C 

4i 

42 

43 
45 
46 

10.69418 
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69,96 
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o.3i48c 
3i552 
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31679 
3  1  743 

43 
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10.686*1 
68448 
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10.00907 
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9.99093 
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10  26  o 

25  52 

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i  34  o 
34  8 
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9.3o88- 
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3ioo8 
3  1068 

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10.691  i3 
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9.  3  i  806 
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10.6819 
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10.00920 
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9.99080 
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99°75 
9.9072 
99070 

5t 

i 
5 
5 

5-4 

5 
56 
5 

r 

5 
6 

10  25  20 
25  12 

25  4 
24  50 
24  48 

i  34  4c 
34  4b 
34  5f 
35  4 
35  i 

9.31189 
3i25c 
3.3ic 
3i37e 
3i43r 

5? 
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55 
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10.6881 
68760 
68690 
6863r 
6857t 

9.3212 
32.8 

3224£ 

323  1 
3a37 

54 
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57 
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10.6787 
6781 
6775 
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10.00933 
00936 
00938 
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0094^ 

2 
2 
2 
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2 

0.09067 
99064 
99062 
99069 
99066 

10 
( 

10  24  4o 

24  32 
24  24 

24  iC 
24  £ 
24  c 

i  35  20 
35  2 
35  3 
35  4 
35  5 
36 

9.3i49< 
3i54 
3  1  60 
3i66c 

3l72 

3i78 

57 
58 

59 
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61 
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10.685! 
6845 
6839 
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9.3243( 
3249£ 
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3262.: 
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,  59 
60 
6, 
!  63 
64 
,  65 
n;ff 

10.6766 
6760 
6743 
6737 
6731 
6726 

Tangent 

10.00946 
00949 
00952 
oo954 
00967 
00960 

Cosecant 

2 
2 
2 

!5 

I3 

I>iff 

9.990^4 
99061 
99o48 
99046 
99043 
99040 

Sine. 

M 

JM  Hour  i>.  M 
101° 

Hour  A.  M 

A         A 

B        B 

C 

C  78° 

Seconds  of  time  

1* 

2« 

3' 

23 

24  ' 

i 

4° 

5" 

lo~ 
40 
a 

6« 

7* 

54 

57 

3 

(A 

Prop,  partf  ot  com  <  B 
I  C 

8 

!6 
10 
! 

3i 
32 
i 

4-7 
49 

a 

- 
TARI/E  XXVII.                ^  Page  197 

I  og.  Sines,  Tangents,  and  Secants.               w'« 
123               A        A      B        B      C        C  167° 

>I 

Hour  A.M. 

Hour  P.M. 
i  36  o 
36  8 
36  16 
36  24 
36  32 

Sine. 

Diff. 

Cosecant. 

Tangent.  |Diff.jCotang-cnt 

Secant. 

Dift.  Cosine. 

AI 

o 

4 

10  24   0 
23  52 

23  44 
23  36 

23  28 

9.31788 
3  1  847 
31907 
3  1  966 

32025 

0 

i 

2 

3 
4 

10.68212 
68  1  53 
68o93 
68o34 
67975 

9.32747 

328-10 

32872 

32933 
32995 

0 
2 

3 
4 

10.67253 
67190 

67.28 

67067 
67005 
10.66943 
6688  1 
66820 
66758 
66697 

i  o  .  00960 
00969. 
oo965 
oo968 
oo97o 

o 
o 
o 
o 
o 

9.99040 
99o38 
99o35 
99°32 
99o3o 

60 
59 

58 
57 
56 

55 

54 
53 

52 

5i 

K 

6 

8 
9 

10  23  20 
23  12 

23  4 

22  56 
22  48 

i  36  4o 
36  48 
36  56 
37  4 
37  12 

9.32084 

32143 

32202 
32261 

323i9 

5 
6 

8 
9 

10.67916 
67857 
67798 
67739 
67681 

9.33o57 
33ii9 
33  1  80 
33242 
333o3 

5 

6 
7 
8 

9 

.10.00973 
00976 
00978 
0098  1 
00984 

0 
0 
0 
0 
0 

9.99027 
99024 

99022 

99°  '9 
99016 

10 

1  1 

i  2 

i4 

IO  22  4o  I  37  2O 
22  32     3y  28 

22  24   37  36 
22  1  61   37  44 
22  8!   3?  52 

9.3?378 
32437 
32495 
32553 
32612 

IO 
10 

II 

12 

i3 

10.67622 
67563 
675o5 

67447 
67388 

9.  33365 
33426 
33487 
33548 
336o9 

10 

ii 

12 

i3 
i4 

io.66635 
66574 
665.3 
66452 
6639. 

io.6633o 
66269 
66208 

66147 
66087 

10.00987 
00989 
00992 
0099^) 
00998 

o 

9.99013 

990  1  1 
99008 
9900  5 
99002 

5o 

49 
48 

47 
46 

1  D 

16 

i? 
18 

19 

10  22   O 
21  52 

21  44 
21  36 

21  28 

i  38  o 
38  8 
38  16 
38  24 
38  32 

9.32670 
32728 
32786 
32844 
32902 

i4 
i5 
16 

17 
18 

10.67330 
67272 
67214 
67  1  56 
67098 

0.  33670 

3373i 
33792 
33853 
339i3 

i5 

16 

17 
18 

*9 

IO.O1OOO 

oioo3 
01006 
01009 

010.  I 

9  .  99000 
98997 
98994 

9899' 
98989 

45 
44 
43 

42 

4i 

20 

21 
22 
23 

a4 

10  21  20 
21  12 
21   4 

20  56 
20  48 

i  38  4o 
38  48 
38  56 
39  4 

39  12 

9.32960 
33o.8 
33o75 
33  1  33 
33  1  90 

19 
20 

21 
22 
23 

10.67040 
66982 
66925 
66867 
668  1  o 

9.33974 
34o34 
34o95 
34.55 
342  1  5 

20 
21 
22 
23 
24 

10.66026 
65966 
65oo5 

65845 
65785 

10.0101/4 
01017 

01020 
01022 
O1025 

9.98986 
98983 
98980 
98978 
98975 

4o 

% 

II 

35 
34 
33 

32 

3i 

25 

a€ 

^7 
28 
29 

10  20  40 
20  32 
20  24 
20  1  6 
20   8 

I  30  20 

3o  28 
39  36 
39  44 
3952 

9.33248 
333o5 
3336p. 
33420 

33477 

24 
25 
26 
27 
28 

10.66752 
66695 
66638 
6658o 
66523 

9.  34  2  76 
34336 
34396 
34456 
345  1  6 

25 
26 
27 
28 
29 

10.65724 
65664 
656o4 
65544 
65484 

10.01028 
o  i  o3  1 
oio33 
oio36 
oio39 

9-98972 
98969 
98967 
98964 
9896i 

3o 
:h 
3j 

33 

34 

10  20   0 

19  52 

19  44 
19  36 
19  28 

i  4o  o 
4o  8 
4o  16 
4o  24 
4o  32 

9.33534 
3359i 

33647 
337o4 
3376i 

29 
29 

3o 
3i 

32 

10.66466 
66409 
66353 
66296 
66239 

9.34576 
34635 
34695 
34755 
348.4 

3o 
3i 

32 

33 

34 

10.65424 
65365 
653o5 
65245 
65.86 

IO.OIO42 

01045 
01047 
oio5o 
oio53 

2 
2 

9.98958 
98955 
98953 
98960 

98947 

3o 
29 
28 

27 
26 

35 
36 
37 
38 
39 

4<> 
4i 
4^ 
43 
44 

IO  19  20 
19  12 

19  4 
18  56 
18  48 

i  4o  4o 
4o  48 
4o  56 
4i  4 
4i  12 
r  4i  20 
4i  28 
4i  36 
4i  44 
4i  52 

9.338.8 
33874 
33o3i 

33987 
34o43 

33 
34 
35 
36 

37 

10.66182 
66126 
66069 
660  r  3 
65957 

9.34874 
34933 
34992 
35o5i 
35m 

35 
36 
37 
38 
39 

io.65i26 
65o67 
65oo8 
64949 
64889 

io.oio56 
01059 
01062 
o  1  064 
01067 

2 
2 
2 
2 
2 
2 
2 
2 
2 
2 

9-98944 
98941 
98938 
98936 
98933 

25 

24 

23 
22 
21 

jo  i  8  4o 
18  32 
18  24 
18  16 
18  8 

9  .  34  1  o'o 
34i56 
34212 
34268 
34324 

38 
39 
4o 
4r 

42 

10.65900 
65844 
65788 
65732 
65676 

9.35170 
35229 

35288 
35347 
354o5 

4o 
4i 
42 

43 
44 

io.6483o 

64771 
64712 
64653 
64595 

i  o  .  o  i  070 
01073 
01076 
01079 
01081 

9.98930 
98927 
98924 
9892i 

989'9 

2O 

'9 
.8 

'7 
1  6 

45 
46 
47 
4S 

49 

10  18  o 

17  52 
17  44 
17  36 
17  28 

1C  17  20 
17  12 

17  4 
16  56 
16  48 

i  42  o 
42  8 
42  16 
42  24 

42  32 

9.3438o 
34436 
344oi 
34547 
34602 

43 
44 
45 
46 
47 
48 
48 
49 
5o 
5i 
52~ 
53 
54 
55 
56 
j>7_ 
DirT. 

10.65620 
65564 
655o9 
65453 
65398 

9.35464 
35523 
3558i 
3564o 
35698 

45 
46 
47 
48 

A 

5° 

52 

53 
54 

io.64536 
64477 
644  1  9 
6436o 
643o2 

10.01084 
01087 
01090 
oio93 
01006 

2 
2 
2 
2 
2 

9.989i6 
989.3 

98910 
98907 
98904 

i5 
i4 
.3 

I  2 
I  I 
10 

8 

6 

So 

5i 

52 

53 
54 

i  42  4o 
42  48 
42  56 
43  4 
43  12 

9.34658 
3471  3 
34769 
34824 
34879 

10.65342 
65287 
6523i 
65  176 
65i2i 

9.35757 
358i5 
358-3 
3593i 
35989 

10.64243 
64  1  85 
64127 
64069 
64oi  i 

io.oio99 

01  102 

01  104 
01  107 

01  I  10 

2 
2 
2 
2 
3 

9.98901 

98898 
98896 
98893 
98890 

56 
56 

5~ 
58 
59 
60 

10  16  4o 
16  32 
16  24 
16  16 
16  8 
16  o 

i  43  20 
43  28 
43  36 
43  44 
43  52 
44  o 

9.34934 
34989 
35o44 
35099 
35  1  54 
35209 

io.65o66 
65oi  i 
64956 
649o  i 
64846 
64791 

9.36o47 
36io5 
36.63 

3622. 

36279 
36336 

55 
56 

57 
58 

r9 
60 

10.63953 
63895 
'  63837 
63779 
6372i 
63664 

10.01  i  i3 

OI  I  l6 

01  1  19 

OI  122 
01  125 

oi  128 

Cosecant.) 

3 

3 
3 
3 
3 
3 

9.98887 
98884 
9888i 
98878 
98875 
98872 

5 

4 
3 

2 

I 
O 

M 

Tour  P.M 

lour  A.M. 

Cosine. 

Secant. 

Cotangent 

DilT. 

Tangent. 

ixr. 

Sine. 

M 

102° 


A                    A 

B 

B 

C 

Seconds  of  time  

1s 

9s 

:V 

/!• 

5' 

fis 

7« 

f  A 

Prop,  parts  of  "ols.  <   B 

7 

*f 

i4 
i5 

-  1 

22 

29 

3o 

36 
37 

43 
45 

^>O 

52 

I  C 

0 

• 

I 

• 

9 

a- 

1 

c     ir- 


Fage  11JS| 
S'. 

13° 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
A       A      B        B      C 

G 

C  166° 

• 
> 

ai 

o 

2 

3 

4 

our  A.M.IIIourp.M. 

Sine.   1 

>iff.C 

Cosecant. 

Tangent. 

)iff. 

otanger». 

Secant.  DiiT. 

Uosine. 

o  16  o 
i5  5. 
1  5  441 
i5  36 
1  5  28 

i  44  o 
44  8 
44  16 
44  24 
44  32 

}.  35209 
35263 
353i8 
35373 
35427 

0  I 
2 

3 
4 

o.  6479i 
64737 
64682 
64627 
645-3 

9.36336 
36394 
36452 
365o9 
36566 

0 

i 

2 

3 
4 

0.63664 
636o6 
63548 
634  9  1 
63434 

o.oi  128 
Oi  l3i 
ou33 
oii36 
on39 

o  s 
o 

0 

o 

0 

.98872 
98869 
98867 
98864 
98861 

5 
6 

8 
9 

O  I  5  20| 
l5  I2i 

i5  4. 

i4  56 
i4  48 

i  44  4" 
44  48 
44  56 
45  4 
45  12 

j.  3548i 
35536 
3559o 
35644 
35698 

4  i 
5 
6 

8 

0.64519 
64464 
644  1  o 
64356 
643o2 

9.36624 
3668  1 
36738 
36795 
36852 

5 
6 
6 

8 

o.63376 
633  1  9 
63262 
632.o5 
63  1  48 

c.oi  142 
on45 
ou48 
01  i5i 
01  154 

0 
0 

o 
o 
o 

>.  98858 

98855 
98852 
98849 
98846 

1  O 

11 

12 

i3 
i4 

o  i4  4o 
i4  32 
i4  24 
i4  16 
i4  8 

i  45  20 
45  28 
45  36 
45  44 
45  52 

9.35752 
358o6 
3586o 
35914 
35968 

9 

10 

ii 
ii 

12 

0.64248 
64194 
64i4o 
64o86 
64o32 

o  .  36909 

36966 

3-02: 
37o8o 
37i37 

9 

10 

1  1 

12 

i3 

o.63(  91 
63o34 
6-J977 
62920 
62863 

O.OI  ID7 
01  1  60 

oi  i63 
01  166 
oi  169 

7.9S843 
98840 
988*7 
98834 
9883i 

i5 

!  6 

18 
19 

o  i4  o 
i3  52 
1  3  44 
i3  36 
i3  28 

i  46  o 
46  8 
46  16 
46  24 
46  32 

O.36O22 

36o75 
36129 
36:82 
36236 

i3 
i4 
(5 
16 
17 

o.63978 
63925 
6387i 
638  1  8 
63764 

9.371^3 
37250 
373o6 
37363 
3j4i9 

M 

i5 
16 

17 
18 

10.62807 
6275o 
62694 
62637 
62  58  1 

10.01  179 

or  i75 
oi  t78 
oi  181 
01184 

9.98828 
98825 
98822 
988i9 
98816 

i 
1 
l 

; 

! 

• 

20 

21 
22 
23 
24 

0  l3  20 
13  12 

i3  4 
12  56 
12  48 

i  46  4o 
46  48 
46  56 
47  4 
47  12 

9.36289 
36342 
36395 

36449 
365o2 

18 
18 
19 

20 
21 

o.637u 
63658 
636o5 
6355i  1 
63498 

9.37476 
37532 
37588 
37644 
377oo 

9.37756 
378i2 
37868 
37924 
3798o 

19 
19 
20 

21 

22 

10.62524 
62.468 
62412 
62356 
623oo 

10.01  187 
oi  190 
oi  193 
01196 

01199 

9.9b8i3 
988  1  o 
98807 
98604 

98801 

25 

2f> 

37 
28 

2  9 

o  12  4o 

12  32 
12  It. 
12  l6 
12   8 

i  47  20 
47  28 
47  36 
47  44 
47  52 

.365551 
366o8 
3666o 
367i3 
36766 

22 
23 

24 
25 
25 

0.63445 
63392 
6334o 
63287 
632.34 

2C 

Ii 
25 
2O 

27 

"^8" 

29 
3o 

3i 

32 

10.62244 
62188 

62132 

62076 
62020 

IO.OI2O2 
01205 
01208 
OI2II 
OI2i4 

9.98798 

98795 
98792 

98789 
98786 

-1 

3o 
3i 

32 

33 
34 

0  12   0 
II  52 

ii  44 
ii  36 
ii  28 

i  4»  o 
48  8 
48  16 
48  24 
48  32 

9.36819 
3687. 
36924 
36976 
37028 

26 

27 
28 

2  9 

3o 

IT 

32 
32 

33 

31 

io.63t8i 
63129 
63o76 
63o24 
629-72 

9.38o35 
38091 
38  1  47 

38202 

38257 

10.619*5 

61009 

6i853 
61798 
6i743 

IO.OI2I7 
01220 
01223 
01226 
01229 

2 
2 
2 
2 
2 

0.98783 

98-780 
?8777 
9S/74 
9877' 

6 

35 

3C 
37 
38 
9o 

1O  II  20 
II  12 

ii  4 
10  56 
10  48 

i  48  4o 
48  48 
48  56 
49  4 
49  i? 

I  49  20 

49  28 
49  36 
49  44 
4o  52 

9.37081 
37i33 
37i85 
37237 
37289 

10.62919 
62867 

62815 
62763 
62-71  1 

9- 

383  1  3 
38368 
38423 
38479 
38534 

32 

33 

34 
35 
36 

10.61687 
6i63a 
6  1  577 
6i52i 
6  1  466 

IO.O1  232 

01235 
01238 
01241 
01244 

2 
2 
2 
2 
2 

9.98768 

98765 
98762 
98759 
98756 

•> 
j 
1 
a 
i 

|O 

4 
4 
4^ 
4^ 
4- 
4 
4 
4 
4 

r 

C 

I 

10  10  4o 

10  32 

10  .2Z 

10  16 

10   & 

9.3734i 
37393 

37445 
37497 
37549 
9.37600 
37652 
377o: 
3775: 
378o6 

9.3785£ 
379,-c 
3796c 
38oi 
38o6 

973877 

38.6 
382i 
3826 
383  1 
3836 

35 
36 
37 
38 
39 

10.62659 
6260-7 
62555 
6s5o3 
62451 

9.38589 
38644 
3869s 
3875.' 
388o£ 

37 
38 
39 
4o 
4i 

io.6i4i  i 
6  1  356 
6i3oi 
61246 

6lI92 

I0.01247 
01250 

01254 

OI257 

01260 

2 
2 
2 
2 
2 

9.98753 

9875o 
98746 
98743 
9874o 

6 

13  10   C 

9  5, 

9  4^ 
?3C 
o  2,£ 

i 

>  i 

j 
> 

1 

i 

jo   < 

5o  8 
5o  16 
5o  2/ 
*><•>  3p 

39 
4o 

4« 

42 
43 

10.62400 
62348 
6229-7 
62245 
62194 

9- 

3886: 
389i£ 
3897: 

3902' 

39o8- 

42 
43 
44 
45 
45 

10.6 
6 
6 
6 
6 

ii37 
1082 
1028 
o973 
o9i8 

0864 
o8ic 
o75f 

07OI 

064- 

10.0126^ 
OI26C 
0126^ 
Oi27: 
oi27: 

2 
2 
2 
2 
2 

,9-98737 
98734 
9873, 
98728 
98725 

5 

-1 
(3 
a 

1  1 

10  9  2c 
9  IS 

9  « 
8  5( 

8  4^ 

10  8  4< 
8  3 

8  2 

8  i 
8 
8 

5o  4< 
5o  4£ 
5o  5<: 
5i  - 
5i  i 

5l  2 

5i  2 
5i  3 
5i  4 
5i  5 

52 

44 
45 
46 
47 
47 
4b 

49 
5c 
5i 

52 

53 

10.6214^ 
62091 
62040 
6.9Sc 
6i93fc 

9.39,3( 
39.9< 
>   3924 
)   3929 
i   3935 

46 
4? 
48 

49 
5o 

10.6 
6 
6 
6 
6 

IO.OI27^ 

0128 
oiaSf 

oust 

0129 

3 
3 
3 
3 
3 

9.98722 
98719 
987.5 

987.2 
98709 

10 
9 
8 

i 

10.6188- 
6i83( 
6178? 
6i73. 
6168, 
6i63 

'.  Secant. 

__ 

A 

7   9.3940 

)   3946 
]    395. 
|   3956 
]    3962 
\  __J^7 

Cotangei 
_J.  
B 

5i 

52 

53 
54 
55 
56 

Dif 

io.6o59J 
6o53c 
6o485 
6o43  1 
6o37- 
6o32: 

".  Tangent. 

— 

B 

10.0129-; 
0129- 
oi3oc 
oi3o^ 
oi3o( 
oi3i( 

Cosecant 

.. 

C 

3 
3 
3 
3 
3 
3 

jTO 

5.98706 
98703 
98700 
9869.7 
98694 
9869o 

5 

4 
3 

a 
i 

0 

11 

1M  Hour?.?.!  Ho 
103° 

UTA.J 

Cosine 

—  ^—  —  —  —  — 

A 

Dif 

C  76° 

Seconds  of  time  

1" 

2s 

3s 

20 

21 

I 

4s 

26 

28 

2 

5s 

33 

35 

2 

6s 

"17 

42 

2 

7§ 

~46~ 

49  | 
5  1 

T^1 

Prop,  paita  of  cols.  <  B 
1  C 

•7 

7 

o 

i3 

i4 

i 

TABLE  XXVII.                tragei 

Log.  Sines,  Tangents,  and  Secants. 
14°               A        A      B         B      C        C  16 

fd 

5° 
M 

31 

Hour  4.M. 

Hour  P.M. 

Sine. 

Diff. 

Cosecant. 

Tangent. 

Diff. 

vctangent 

Secant. 

Dff. 

Cosine. 

o 
i 

2 

3 
4 
5 

6 
7 
8 

9 

10  8  o 
7  52 
7  44 
7  36 
7  28 

I  52   0 

52  8 
52  16 

52  24 
52  32 

9.38368 
384  18 
38469 
385  1  9 
38570 

o 
i 

2 

2 

3 

~T 

6 

7 
7 

io.6i632 
6i582 
61  53  1 
6i48i 
6i43o 

9.39677 
39731 
39785 
39838 
39892 

0 
2 

3 
3 

io.6o3a3 
60269 
602  1  5 
60162 
60108 

TO.Ol3lO 

Oi3i3 

oi3i6 
01319 

Ol322 

0 

o 

0 
0 

o 
o 

0 
0 
0 

o 

9.9b69o 
98687 
98684 
98681 
98678 

60 

58 
5"> 
56 

10  7  20 
7  12 
7   4 
6  56 

6  48 

i  52  4o 
52  48 
52  56 
53  4 
53  12 

9.38620 
3867o 
3872i 

38771 
3882i 

io.6i38o 
6i33o 
61279 
61229 
61179 

9-39945 
39909 

40062 
4o  1  06 
4oi59 

4 
5 
6 

8 

io.6oo55 
60001 
59948 
59894 
5984i 

10  oi325 
01329 
oi33a 

oi335 
oi338 

9.98675 
98671 
98668 
98665 
98662 

55 
54 
53 
5a 
5i 

10 
1  1 

12 

i3 
i4 

10  6  4o 
6  32 
6  24 
6  16 
6  8 

i  53  20 
53  28 
53  36 
53  44 
53  52 

9.3887i 
3892i 
3897r 

30021 

39071 

8 
9 

10 

ii 
ii 

12 

i3 
i4 
i5 
i5 

io.6t  129 
61079 
61029 
60979 
60929 

9.40212 
40266 
4o3i9 
4o372 
4o4a5 

9 

10 

10 

11 

12 

10.59788 
59734 
5968i 
59628 
5o575 

io.oi34i 
01  344 
oi  348 
oi35i 
oi354 

9.98659 
98656 
98652 
98649 
98646 

5o 

49 

48 
47 

46 

i5 

16 

17 
18 

'9 

10  6  o 
5  52 
5  44 
5  36 
5  28 

i  54  o 
54  8 
54  16 
54  24 
54  32 

9.39.2, 
39170 

39220 

39270 

393i9 

10.60879 
6o83o 
60780 
60730 
60681 

9.40478 
4o53i 
4o584 
4o636 
40689 

i3 

i4 
i5 
16 
17 

10.59522 
59469 
594i6 
59364 
593ii 

io.oi357 
oi36o 
oi  364 

01  367 

01370 

9.98643 
9864o 
98636 
98633 
9863o 

45 
44 
43 
42 
4i 

20 
21 
22 
23 
24 

IO  5  20 
5  12 

5  4 
4  56 
4  48 

i  54  40 
54  48 
54  56 
55  4 
55  12 

9.39369 
394.8 
39467 
39517 

39566 

16 
17 
18 

'9 

20 

io.6o63i 
6o582 
6o533 
6o483 
6o434 

9.40742 
40795 
40847 
40900 
40952 

17 
18 

«9 

20 
21 

10.59258 
59205 
59i53 
59100 
59048 

10.01373 
oi  377 
oi38o 
oi383 
oi386 

9.98627 
98623 
98620 
986.7 
98614 

4o 
39 
38 

37 
36 

25 

26 

27 
28 
29 

10  4  '4o 
4  32 
4  24 
4  16 
4  8 

i  55  20 
55  28 
55  36 
55  44 
55  52 

9.396i5 
3g664 
397i3 
39762 
39811 

2O 
21 
22 
23 

24 

24 
25 

26 

27 
28 
29 
29 

3o 
3i 

32 

io.6o385 
6o336 
60287 
60238 
60189 

9.4ioo5 
4io57 
41109 
4i  161 
41214 

22 
23 
23 

24 

25 

10.58995 
58943 
5889i 
58839 
58786 

10.01390 
01393 
oi396 
oi399 
oi4o3 

2 
2 

9.98610 
98607 
98604 
98601 
_98597 

9-98594 
9859, 
98588 
98584 
9858i 

35 
34 
33 

32. 

3i 

30 

29 
28 

27 
26 

25 

24 

23 
22 
21 

3o 
3i 
3?. 
33 
34 
35 
36 

37 
38 
39 

10  4  o 
3  52 
3  44 
3  36 
3  28 

i  56  o 
56  8 
56  :6 
56  24 
56  32 

9.39860 
39909 
3995? 
4ooo6 
400*35 

Tn.6oi4o 
60091 
60042 
59994 
59945 

9.41266 
4i3i8 
41370 

4l422 

4i474 

26 

27 
28 

?9 

3o 

~3o~ 
3i 

32 

33 

34 

10.58734 
58682 
5863o 
58578 
58526 

io.oi4o6 
01409 
01412 
01416 
01419 

2 
2 
2 
2 
2 

2 

2 
2 
2 
2 

10  3  20 
3   12 

3  4 
2  56 

2  4& 

i  56  4o 
56  48 
56  56 

57  4 

57  12 

9.4oio3 
4oi52 
40200 
4o249 
40297 

io.59897 
59848 
598oo 
59761 

59703 

9-4i526 
4i578 
41629 
41681 
4i733 

10.58474 
58422 
5837i 
583  1  9 
58267 

10.01422 
01426 
01429 
oi432 

oi435 

9.98578 
98574 
9857i 
98568 
98565 

4o 
4i 
42 
43 
44 
45 
46 
47 
48 

49 
5o 
5i 

52 

53 
54 

10  2  40 
-2  32 
2  24 
2   16 
2   8 

I  57  2O 

57  28 
57  36 
57  44 
57  52 

9.4o346 
4o394 

4o44a 
40490 
4o538 

33 
33 
34 
35 
36 

10.59654 
596o6 
59558 
595io 
59462 

9.41784 
4  1  836 
41887 
41939 

41990 

35 
36 
36 

37 
38 

10.58216 
58  1  64 
58u3 
58o6i 
58oio 

10.01439 
oi44^ 
oi445 
01449 
01452 

2 
2 
2 
2 
2 

9.9856i 
98558 
98555 
9855i 
98548 

20 

!S 

17 
l6 

10      0 

52 

44 
36 
28 

i  58  o 
58  8 
58  16 
58  24 
58  32 

9.4o586 
4o634 
40682 
40730 
40778 

37 
3? 
38 
39 
4o 

10.59414 
59366 
593.8 
59270 
59222 

9.42041 
42093 
42i44 
42195 
42246 

39 
4o 
4i 

42 
43 
43 
44 
45 
46 
47 

10.57959 

57907 
57856 
578o5 
57754 

io.oi455 
oi459 
01462 
oi  465 
01469 

2 
3 
3 
3 

3 

9.98545 
9854i 
98538 
98535 
9853i 

1  4 

Io 

II 

10     20 
12 

4 
o  56 
o  48 

i  58  4o 
58  48 
58  56 
59  4 
59  12 

9.40825 
4o873 
40921 
40968 
4ioi6 

4i 

42 
42 

43 
44 

10.59175 
59127 
59079 
59082 
58984 

9.42297 
42.348 
42399 
4245o 
425oi 

10.57703 
57652 
57601 
5755o 
57499 

10.01472 

oi475 

01479 
01482 
oi  485 

3 
3 
3 
3 
3 

9.98528 
98525 
98521 
985i8 
985i5 

10 

6 

55 
56 

57 
58 

59 
60 

10  o  4o 

0  32 

o  24 
o  16 
o  8 
o  o 

i  59  20 
59  28 
59  36 
59  44 
59  52 
200 

9.41  o63 
4>  1  1  1 
4ii58 
4i2o5 

41252 

4i3oo 

45 
46 
46 
47 
48 

49 

io.58937 
58889 
58842 
58795 
58748 
58700 

9.42552 
42603 
4a653 
42704 
42755 
42805 

48 

I9 

5o 
5o 
5i 

52 

io.5y448 
57397 
57347 
57296 
57245 
57195 

10.01489 
01492 
01495 
oi499 

01502 

oi5o6 

3 
3 
3 
3 
3 
3 

9.98511 
985o8 

985o5 
985oi 
98498 
98494 

5 
4 
3 

2 
I 

0 

M 

Ho'.irp.M. 

Hour  A.M. 

Cosine. 

Diff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Cosecant. 

Diff. 

Sine. 

M 

114° 


C      75 


Seconds  of  time 

1" 

9s 

?s 

4s 

f>s 

(1s 

7- 

(A 

6 

12 

18 

24 

3i 

37 

43 

Prop,  parts  of  cols.  ^  B 

7 

i3 

20 

26 

33 

39 

46 

I  C 

0 

I 

I 

2 

2 

a 

3 

l';i 

5' 
15° 
;\i 

ie~a^                 TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
A        A      B        B      C        C  1C>4? 

lour  A.M. 

lour  P.M. 

Sine. 

Diff. 
o 

a 

2 

3 

Cosecant. 

Tang-ent. 

Difl'. 

yotangenl 

Secant.  |Diff 

Cosine. 

M 
o 

I 

7 

r\ 

i 

2 

3 

4 
5 
6 

7 
8 

_9 
10 
1  1 
i  '). 
i3 
i4 

O   O   0 

9  69  52 

59  44 
59  36 
59  28 
9  59  20, 
g" 

09  4l 

58  56; 
58  48 

200 
o  8 
o  16 
o  24 

0  32 

3  0  40 

o  48 

o  56 
4 

12 

9.41  3oo 
4  1  347 
4i394 
4i44i 
4  1  488 

0  .  58700 
58653 
586o6 
58559 
585i2 

9.42805 
42856 
42906 
42957 
43oo7 

o 

i 

2 
2 

3 

4 
5 
6 

7 
7 

0.57195 
57i44 
5-7094 
57o43 
56993 

O.oi5o6 
Oi5o9 

0  1  5  I  2 

oi5i6 
oi5i9 

0 
0 

o 

0 
0 

.98494 
9849i 
98488 
98484 
9848  1 

9-4i535 
4i582 
41628 
4i675 
41722 

4 
5 
5 
6 

7 

0.58465 
584  1  8 
58372 
58325 
58278 

9.43o5/ 
43  108 
43  1  58 
432o8 

43  2  58 

o.56943 
56892 
56842 
56792 
56742 

o.oi523 
0026 

Ol529 

oi533 
01  536 

0 

o 
o 

0 

I 

.98477 
98474 
98471 
98467 
98464 

5 

4 
3 

52 

5i 

9  58  4o 
58  32 
58  24 
58  16 
58  8 

2     20 

28 

36 
44 

52 

9.41768 
4i8i5 
41861 
41908 
41954 

8 
8 
9 

10 

n 

io.58232 
58i85 
58i39 
58092 
58o46 

9.433o8 
43358 
434o8 
43458 
435o8 

8 
9 

10 

ii 
1  1 

10.56692 
56642 
56592 
56542 
56492 

o.oi54<> 
01  543 
o.547| 
oi55o 
oi553 

9.98460 
98457 
98453 
9845o 
98447 

5o 

1 

46 

i5 
16 

17 
18 

i? 

20 
21 
22 
23 

24 

9  58  o 
*  5752 
57  44 
57  36 
57  28 

220 
2   8 
2   16 
2  24 
2  32 

9.42001 
42047 
42093 
42140 
42186 

ii 

12 

i3 

i4 
i4 

~TT 

16 

17 
17 

18 

10.5-7999 
57953 
5-790-7 
5786o 
578i4 

9.43558 
436o7 
43657 
437o7 
43756 

12 

i3 
i4 
i5 

16 

10.56442 
56393 
56343 
56293 
56244 

io.oi557 
oi56o 
01  564 
01  567 
01571 

9.98443 
9844o 
98436 
98433 
98429 

45 
4-/ 
4^ 
42 
4. 

9  D7  20 

57  12 

57  4 
56  56 

56  48 

2  2  40 

2  48 
2  56 
3  4 

3   12 

9.42232 
42278 
42324 
4237o 
42416 

io.57768 
57722 
57676 
5763o 
57584 

9-438o6 
43855 
439o5 
43954 
44oo4 

16 
17 
18 

«9 

20 

io.56i94 
56«45 

56o95 
56o46 
55996 

IO.OI  574 

01578 

oi58i 
0.585 
01  588 

9.98426 
98422 
984i9 
9«4i5 
984i2 

4o 
3y 
38 
37 
36 

35 
34 
33 

32 

3i 

26 

^8 
:!9 

9  56  4o 
56  32 
56  24 
56  16 
56  8 

2  3  20 

3  28 
3  36 
3  44 
3  52 

9.42461 
42507 
42553 
42599 
42644 

'9 

20 
21 
21 
22 

io.57539 
57493 
57447 
574oi 
57356 

9-44o53 
44  1  02 
44i5i 
44201 
4425o 

2O 
21 
22 
23 
24 

io.55947 
55898 
55849 
55799 
557§o 

io.oi59i 
o.595 
oiS^ 
0.602 
Qi665 

9.  98409 
98405 
98402 
98398 
98395 

;io 

3  1 

33 
34 

9  56  o 
55  52 
55  44 
55  36 
55  28 

240 
4  8 
4  16 
4  24 
4  32 

9.42690 
42735 
42781 
42826 
42872 

23 

24 
24 

25 

26 
27 
27 
28 

I9 

3o 

io.573io 
57265 
572i9 
57174 
57128 

9.44299 
44348 
44397 
44446 
44495 

25 
25 

26 

27 
28 

10.55701 
5565a 
556o3 
55554 
555o5 

i  o  .  o  .  6o9 
01612 
016.6 
oi6i9 
0162: 

2 
2 
J 

2 
2 

9.9839, 
98388 
98384 
9838i 

3o 

2() 
2 

27 
2(> 

35 
36 

3? 
38 
3q 

9  55  20 
55  12 
55  4 
54  56 
54  48 

244' 
4  48 
4  56 

5   4 

5  12 

9.42917 
42962 
43oo8 
43o53 
43o98 

10.57083 
57o38 
56992 

56947 
56902 

9-44544 
44592 
4464i 
44690 
44738 

29 

y 

3o 
3  1 

32 

10.55456 
554o8 
55359 
553io 
55262 

10.01627 
o  1  63o 
oi634 
01  637 
01641 

9.98373 
o837o 
98366 
98363 
98359 

25 
Ii 

4' 
4 
4? 
43 
44 

9  54  4o 
54  32 
54  24 
54  16 
54  8 

2   5   2C 

5  28 
5  36 
5  44 
5  52 

9.43.43 
43  1  88 
43a33 
43278 
43323 

3o 
3i 

32 

33 
33 

10.56857 
568i2 
56767 

56722 

56677 

9.44787 
44836 
44884 
44933 
44981 

33 

34 
34 
35 
36 

io.552i3 
55i64 
55n6 
55o67 
55oi9 

lo.o.  644 
01  648 
oi65i 
oi655 
01  658 

2 
2 
2 
3 

3 

~F 
3 
3 
3 
3 

9.9835b 
98352 
98349 
98345 
98342 

4o 
4( 
47 
48 
49 
5o 
5 
5 
5 

5-4 

9  54  o 
53  52 
53  44 
53  36 
53  28 

260 
6  8 
6  16 
6  24 
6  32 

9.43367 
434i2 
43457 
435o2 
43546 

34 
35 
36 
36 

37 

10.56633 
56588 
56543 
5649b 
56454 

9.45029 
45o^8 
45.26 
45i74 

45222 

37 
38 
38 
39 
4o 

10.5497 
54922 
54874 
54826 
54778 

10.01662 
01666 
01669 
0167: 
01676 

9>9833b 
98334 
9833i 
98327 
98324 

10 

74° 

9  53  20 
53  12 
53  4 
52  56 
52  48 

2  6  4o 
6  48 
6  56 
7  4 
7  12 

9.43591 
43635 
4368o 

43724 
43769 
9.438i3 
43857 
43901 
43946 
4399c 
44o34 

38 

! 

4i 

i  o.  56409 
56365 
56320 
56276 
5623 

9.45271 
453.9 
4536- 
454  1  5 
45463 

4i 

42 

43 
43 
44 

10.54729 
5468 
54633 
5458 
54537 

10.01  680 
01  683 
01687 
oi69i 
o.69z 
io.oi698 
01701 
01705 
01709 
01712 
01716 

3 
3 
3 
3 
3 

~r 

3 
3 

3 
3 
4 

]1)U_ 

983.7 
^313 
983o9 
983o6 
9.983o2 
98299 
98296 
9829 
98788 
9-8284 
Sine. 

- 

C 

5 

5f 
5 
58 
~> 
5 
\ 
lite 

9  52  4o 

52  32 
52  24 

52  16 
52  8 

52   0 

2  7  20 

7  28 
7  36 
7  44 
7  5 
8  o 

42 

43 
43 
44 
45 
46 

Diff 

io.56i87 
56  1  43 
56099 
56c»54 
56oio 
55966 

9.455;i 
45559 
456oC 
45654 
457o2 
4575c 

45 
46 
47 

47 
48 

49 

io.54489 
5444 
54394 
54346 
54298 
54250 

Hour  p.  M 

-•• 
:-j 

Hour  A.  M 

Cosine. 
A 

Secant. 

____——— 

A 

Cotangen 

.. 

B 

Diff 

i 

Tangent 

_ 

B 

Cosecant 

————— 
C 

Sec  >nds  of  time 


I" 


Prop,  parts  of  cols.  <    B 
r 


3' 


18 


4. 

5s 

()' 

7" 

23 

1^8~ 

17 

4o 

25 

3i 

37 

43 

2 

2 

3 

3 

TABLE  XXVII.                [pa*B5i01 

^               Log.  Sines,  Tangents,  and  Secants. 
16"               A        A      B        B      C        C  163° 

M 

0 

I 
2 

3 
4 
5 

6 

S 
9 

Hour  A.M.  [Hour  P.M. 

Sine. 

Diff. 

Cosecant. 

Tangent. 

Diff. 

Cotangent 

Secant. 

Dff.  Cosine. 

M 

o  52  o 
5i  52 
5i  44 
5i  36 
5i  28 

280 
8  8 
8  16 
8  24 
8  32 

9.44o34 
44078 
44122 
44i66 
44210 

0 

i 
i 

2 

3 

io.55o66 
55922 

55878 
55834 
55790 

9.4575o 
45797 
45845 
45892 
4594o 

0 

i 

2 
2 
3 

io.5425o 
54ao3 
54  1  55 
54  1  08 
54o6o 

10.01716 
01710 
oi723 

OI727 

oi73o 

0 
0 
0 

o 

0 

9.98284 
98281 

98277 
98273 
98270 

60 

59 
58 
5-7 
56 

9  5  1  20 

5l  12 

5i  4 
5o  56 
5o  48 

2  8  4o 
8  48 
8  56 
9  4 
9  'a 

9.44253 
44297 
4434i 
44385 
44428 

4 
4 
5 
6 
6 

10.55747 
557o3 
55659 
556  1  5 
55572 

9.45987 
46o35 
46082 
46i3o 
46177 

4 
5 
5 
6 

7 

io.54oi  3 
53965 
539i8 
5367o 
53823 

io.oi734 
oi738 
oi74t 
oi745 
oi749 

0 
0 
0 
0 

I 

9.98266 

98261! 
98259 
98255 
9825r 

55 
54 
53 

52 

5t 

56 

49 
A8 

47 
46 

10 
1  1 

12 

i3 

i4 

9  5o  4o 
5o  32 
5o  24 
5o  16 
5o  8 

2   9  20 

9  28 
9  36 
9  44 
9  52 

9.44472 
445  1  6 
44559 
44602 
44646 

8 
9 
9 

10 

ii 
ii 

12 

i3 
i4 

i4 
i5 
16 
16 
17 
18 
18 
19 

20 
21 

io.55528 
55484 
5544i 
55398 
55354 

9.46224 
46271 
463  1  9 
46366 
464  1  3 

8 
9 
9 

10 

ii 

10.53776 
53729 
5368i 
53634 
53587 

IO.OI752 

oi756 
oi76o 
oi763 
01767 

9.98248 
98244 
98240 
98237 
98233 

1  5 
16 
i? 
18 

12 

20 
21 
22 
23 

24 

9  5o  o 
49  52 
49  44 
49  36 
49  28 

2  10   0 

10  8 
10  16 
10  24 

10  32 

9.44689 
44733 
44776 
44819 
44862 

io.553i  i 
55267 
55224 
55i8[ 

55  1  38 

9.46460 
46507 
46554 
466oi 
46648 

12 
12 
13 

i4 
i5 

i5 
16 

17 
1.8 

'9 

io.5354o 
53493 
53446 
53399 
53352 

10.01771 

01774 
01778 
01782 
oi785 

9.98229 
98226 

98222 

982i8 
982i5 

45 
44 

43 

42 

4i 
4o 
39 
38 

37 
36 

9  49  20 

49  12 

4Q  4 
48  56 
48  48 

2  10  40 

10  48 
10  56 
ii  4 

II  12 

9.44905 
44948. 
44992 
45o35 
45077 

io.55o95 
55o52 
55oo8 
54965 
54923 

9.46694 
46741 
46788 
46835 
46881 

io.533o6 
532  59 

53212 

53!65 
53n9 

io.oi789 
oi793 
01796 

01800 
01804 

9.98211 

98207 
98204 
98200 

98196 

a  5 

26 

27 
28 
29 

9  48  4o 
48  32 
48  24 
48  16 
48  8 

2  II  2O 
II  28 

ii  36 
ii  44 

II  52 

9.45120 
45  1  63 
45206 
45249 
45292 

io.5488o 
54837 
54794 
5475  1 
54708 

9.46928 
46975 
47021 
47068 
47ii4 

'9 

20 
21 
22 
22 

10.53072 
53oa5 
52979 
5293t 
52886 

10.  01808 
0181  1 
01816 
oi8i9 
01828 

2 

9.98192 

98180 

981  85 
98181 
98i77 

35 
34 
33 

32 

3i 

3o 
3  1 

32 

33 
34 

9  48  o 
4?  52 
47  44 
4?  36 
47  28 

2  12   0 
12   8 
12  l6 
12  24 
12  32 

9.45334 
45377 
454i9 
45462 
455o4 

21 
22 
23 

23 

24 

10.54666 
54623 
5458  1 
54538 
54496 

9.47160 
47207 
47253 
47299 
47346 

23 
24 
25 

26 
26 

10.  52.84() 

52?93 

53747 

52701 

52654 

10.01826 
oi83p 
01  834 
oi838 
01841 

2 
2 
2 
2 
2 

9.98i74 
98170 
98166 
98162 
98i59 

3o 

29 

28 
27 
26 

,35 
36 

37 
38 
39 

9  47  20 
4?  12 

47  4 
46  56 
46  48 

2  12  40 

12  48 
12  56 
i3  4 

l3  12 

9-45547 
45589 
45632 
45674 
457i6 

25 

26 
26 

27 
28 

10.54453 
544n 
54368 
54326 
54284 

9.47392 
47438 
47484 
4753o 
47576 

27 
28 
29 

?9 

3o 

10.52608 
52562 
525i6 
52470 
5242.4 

io.oi845 
oi849 
oi853 
oi856 
01860 

2 
2 
2 
2 
2 

9.98i55 
98i5i 
98147 
98144 
98140 

25 

24 

23 
22 
21 

4o 
4i 

42 
43 
44 
45 
46 
47 
48 

49 

o  46  4o 
46  32 
46  24 
46  16 
46  8 

2  l3  20 

i3  2.8 
i3  36 
i3  44 
i3  52 

9.45758 
458oi 
45843 
45885 
45927 

28 
29 

3o 
3i 
3i 
~3T 
33 
33 
34 
35 

10.54242 
54iQ9 
54i57 
54u5 
54073 

9.47622 
47668 
477M 
47760 
47806 

3i 

32 
32 

33 
34 

10.52378 
52332 
52286 
52240 
52i94 

10.01864 
01868 
oi87i 
oi875 
oi&79 

2 
3 

3 
3 
3 

~3~ 
3 
3 
3 
3 

9.98i36 
98i32 
98i29 
98i2.5 
98121 

20 
'9 

1  8 

'7 
1  6 

9  46  o 
45  52 
45  44 
45  36 
45  28 

2  l4   0 

i4  8 
i4  16 
14  24 
i4  32 

9-45969 
46oi  i 
46o53 
46095 
46  1  36 

io.54<>3i 
53989 
53947 
539o5 
53864 

9-47^52 

47897 
47943 
47989 
48o35 

35 
36 
36 
37 
38 

10.52148 
52io3 
52o57 

52OI  I 

5io65 

io.oi883 
01887 
01800 
01894 
01898 

9  98117 
98113 
981  10 
98106 
98102 

i5 
t4 
i3 

12 
II 

5o 
5i 

52 

53 
54 

9  45  20 
45  12 
45  4 
44  56 
44  48 

2  14  4o 
i4  48 
i4  56 
i5  4 

l5  12 

9.46178 
46220 
46262 
463o3 
46345 

36 
36 

37 
38 
38 

10.53822 
5378c> 
53738 
53697 
53655 

9.48080 
48126 
48171 
48217 
48262 

39 
39 

4o 
4i 
42 

I0.5l920 

5  1  874 
5i829 
5i783 
5i738 

10.01902 
01906 
01910 
01913 
01917 

3 
3 
3 
3 
3 

9.98098 
98094 
98090 
08087 
98o83 

IO 

T 

6 

55 
56 
ST 
58 

59 

60 

9  44  4o 
44  32 
44  24 
44  16 
44  8 
44  o 

2  1  5  20 

1  5  28 
i5  36 
i5  44 
i5  52 
16  o 

9-46386 
46428 
46469 
465  1  1 
46552 
46594 

38 

4i 

4r 
42 
43 

io.536i4 
53572 
5353i 
53489 
53448 
534o6 

9.48307 
48353 
48398 
48443 
48489 
48534 

43 
43 
44 
45 
46 
46 

io.5i693 
5  1  647 
5  1  602 
5i557 
5i5n 
5  1  466 

10.01921 
01925 
0192(7 
01933 
01937 
01940 

3 

3 
4 
4 
4 
4 

9.98079 
98o75 
98071 
98067 
98o63 
98060 

5 

4 

2 
I 

O 

M 

M 

Hour  P.M. 

Hour  A.M. 

Cosim>.  !Diff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Cosecant. 

DfF.i  Sine. 

106° 


C      73" 


Seconds  of  time  

!• 

2' 

3' 

4' 

5s 

6* 

7' 

f  A 

5 

ii 

16 

21 

27 

32 

3? 

Prop,  parts  of  cols  <  B 

6 

12 

17 

23 

29 

3^ 

4i  1 

(c 

0 

J   1   * 

2 

2 

3 

3 

1>age202]                TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
17°               A        A      B        B 

G'. 

M 

Hour  A.M.  illonr  P.M. 

Sine.  IDiff  (Cosecant 

Tangent. 

Diff| 

o 

i 

2 

3 

Cotangent 

Secant. 

Diff. 

Cosine. 

M 

o 

i 

2 

3 

4 

9  44  o 
43  52. 
43  44 
43  36 
43  28 

210   0 

16  8 
16  .6 
16  24 
16  32 

9-46594 
'  46635 
46676 
46717 
46758 

o 

2 

3 

io.534o6 
53365 
53324 
53283 
532.42 

9-48534 
48579 
4862.4 
48669 

487i4 

io.5i466 
61421 
5i376 
5i33i 

6.286 

i  o  .  o  .  940 
01944 
Oio48 

01966 

o 

0 
0 
0 

o 

9  .  98060 

98062 
98048 
98o44 

60 

59 
58 

56 

5 
6 

7 
& 

9 

9  43  20 

43  12 

43  4 
42  56 
42  48 

2  16  4o 

1  6  48 
16  56 

17  4 

17  12 
2  17  20 

17  28 

17  36 
17  44 
17  52 

9  468oo 
4684  1 
46882 
46923 
46964 

3 
4 
5 
5 
6 

7 
7 
8 

9 
9 

10.53^00 
53.59 
53  1,8 
53077 
53o36 
10.52995 
52955 
52914 
62873 
5-2.832 

488cM 

48849 
48804 

4 

4 
5 
6 
7 

10.5.241 
51196 
5n5i 

5uo6 
61061 

10.01960 
01964 

0  I  968 

01971 

01975 

o 
o 

0 

9.98040 
98o36 
98032 
9802.9 
98026 

55 
54 
53 

52 

5: 
5o 

48 
4? 

46 

45 

44 
43 

42 

4i 

10 

1  1 

12 

i3 

9  42  4o 

42  32 

42  24 
42  16 
42  8 

9.47005 

47086 
47127 
47168 

9.48984 
49029 

49118 
49163 

8 

9 

10 
10 

10.61016 
50971 

60927 
60882 
5o837 

10.019-79 

01983 
01987 
0199. 
01996 

9.98021 
98017 
98013 
98009 
98006 
9.98001 
97997 
97993 

97989 
97986 

1  5 

.6 

17 
18 

'9 

9  42  o 
4i  52 

4i  44 
4i  36 
4i  28 

2  1  8   0 

18  8 
18  16 
18  24 
18  32 

9.47209 
47249 
47290 
4733o 

10 

1  1 
1  1 

12 

i3 

10.52-791 
62761 

52710 

52670 
52629 

9.4920-7 
492.62 
49296 

49385 

1  1 

12 

12. 

i3 
i4 

10.60793 
60748 
60704 
60669 
606  1  5 

10.01999 

02003 

02007 

0201  I 

020.4 

20 

2  I 
22 
23 

2.4 

9  41  20 
4i  12 
4i  4 
4o  56 
4o  48 

2  18  4o 
18  48 

18  56 
19  4 

19  12 

47452 
47492 
47533 
_  47573 

47654 
47M 
47734 
47774 

i3 

i5 
i5 
16 

17 
'7 
18 

'9 

20 
21 
21 
22 
23 

10.52589 
62648 
525o8 
62467 

'49474 
49619 
49563 

i5 
16 
16 
17 
18 

10.50670 

5o48i 

5o437 
5o393 

10.020.8 
02022 
02026 
02030 

02034 

2 

9.9798'-* 
97978 
97974 
979/0 
97966 

3? 
3-' 
36 

i 
33 

32 

3, 

2.5 

26 

28 
29 

3o 

3  i 

32 

33 

35 
36 

37 
38 

•9 

•i  i 
I  > 

I  i 

•\  i 

4  5 

46 

48 

49 
5o 
5  1 

52 

53 

54 

o  j^o  <4o 
4o  32 
4o  24 
4o  16 
4o  8 

2  19  20 
19  28 

19  36 
19  44 
19  62 

io.52387 
52346 
523o6 
52266 
62226 

9.49662 
49696 

49784 
49828 

18 
'9 

20 
21 
21 

io.5o348 
5o3o4 
60260 
60216 
60172 

10.02038 
02042 
02046 
02o5o 
02064 

2 
2 
2 
2 
2 

9.97962 

97958 
97954 
97960 
97946 

9  4o  o 
39  52 
39  44 
39  36 
39  28 

2  2O   0 

20   8 

20  1  6 

20  24 
20  32 

47854 
47894 
47934 
47974 

10.52186 

62106 
62066 
62026 

9.49872 
49916 
49960 
60004 
5oo48 

22 

23 

2/4 

24 

25 

10.60128 
60084 
60040 
49996 
49962 

io.o2o58 
02062. 
02066 
02070 
02074 

2 
2 
2 
2 
2 

9.97942 
97938 
97934 
97930 
97926 

3o 

28 
26 

V  39  20 

39  1  2 

39  4 
38  56 
38  48 

2  20  4« 

20  48 
20  56 

21   4 
21   12 

9.48014 
48o54 
48094 
48.33 
48i73 

23 

24 
25 
25 

26 

10.51986 
61946 
61906 
5i867 
5i827 

9  .  60092 
5oi36 
60180 
60223 
60267 

26 
26 
27 
28 
29 

10.49908 
49864 
49820 
497-7 
49733 

10.02078 
02082 
02086 
02090 
02091 

2 
2 
2 

3 
3 

9.97922 
97918 

979  i  4 
97910 
97906 

25 

24 

22 
2  I 

2O 
[0 

,8 

17 
.6 

9  38  40 
38  32 
38  2.4 
38  16 
38  8 

2  VI  2.0 
21  2.8 

2.  36 
21  44 

21  52 

9.482.3 

48252 
48292 
48332 
483-1 

27 
27 
28 
29 
29 

io.5i787 
5i748 
61-708 
5  1  668 
61629 

9.5o3i  i 
5o355 
5o398 

5o485 

I9 

3o 
3i 

32 
32 

10.49689 
49645 
49602 
49668 
49616 

10.02098 

02102 

02106 

021  10 
021  l4 

3 
3 
3 
3 
3 
3 
3 
3 
3 

9.97902 
97898 

97«94 
9-7890 
97886 

9  38  o 
37  52 
37  44 
37  36 
37  28 

2  22   0 
22   8 
22  l6 
22  24 
22  32 

4845o 
48490 
48529 

48568 

3o 

3i 
3i 

32 

33 

10.61689 
5i55o 
5i5io 

5i432 

9.60629 
5o572 
60616 
60669 
6070$ 

33 
34 
35 
35 
36 

10.49471 
49428 
49384 

49297 

10.02118 

02122 

02126 

02l3o 

02  1  34 

9.9-7882 
97878 
97874 
97870 
97866 

i  •> 
i4 
1  3 

1  2 

.  I 

9  37  20 

37  12 

37  4 
36  56 

36  48 

2  22  4o 
22  48 
22  56 

23  4 

23  12 

9.48607 
48647 
48686 
48725 
48-64 

33 
34 
35 
35 
36 

"37 
37 
38 

39 
39 
4o 

io.5i393 
5i353 
5i3i4 

5i275 
5  1  236 

9.60746 
60789 
5o833 
60876 
60919 

37 

38 

39 

4o 

10.49264 
49211 
49167 
49124 
49081 

10.  C 

c 
c 
c 
c 

2i3o 
2i43 
2147 

2l5. 

2i55 

2169 
2i63 
2167 
2171 

2.76 

2179 

3 
3 
3 

4 
4 

9.9786. 
97867 
97853 
9784Q 

I  C) 

6 
5 
4 

3 

a 
i 
o 

55 
56 

57 

58 

r9 

60 

M 

9  36  4o 
36  32 
36  24 
36  16 
36  8 
36  o 

2  23  20 
23  28 

23  36 
23  44 

23  52 

24  o 

9_488o3 
48842 
48881 
48920 
48959 
48998 

io.5.  19-7 
5u58 
61119 
5  1  080 
5io4i 
61002 

9.60962 
5ioo5 
5io48 
61092 
5ii35 
61178 

4o 
4i 

42 

43 
43 
44 

io.49o38 
48995 
48962 
48908 
48865 
48822 

IO.C 

c 

0 
0 
0 
0 

4 
4 
4 
4 
4 
4 

9.97841 
97837 
97833 
97829 
97826 
97821 

Hour  P.M. 

Hour  A.M. 

Cosine 

Diff. 

Secant. 

Cotangent 

Din. 

Tangent. 

Cosecant.  'Diff. 

Sine. 

M 

107° 

\        A 

B 

B      C 

C   72* 

Seconds  of  time  

1-  2' 

3° 

4. 

20 

22 
2 

5s 

25 

28 

2 

6' 

5o 
33 
3 

7' 

"35" 

39 

3 

(A 

Prop,  pnrts  of  cols.  <  B 
(  C 

5   10 
6   ii 

0     I 

16 

i? 

i 

TABLE  XXVN.                       [Page203 

Log.  Sines,  Tangents,  and  Secants.               '-' 
18°               \        A      B        B      C        C  )<>r 

M 

Hour  A.M.  [Hour  "  M. 

bine. 

Diff. 

Cosecant. 

Tangent.  JDifT.  jCotn^ent 

Sei-aiil.  iDiff. 

Cosine. 

M 

D 
I 
•I 

3 
4 

9  36  o 
35  52 

35  44 
35  36 
35  28 

2  24   0 
24   8 

24  16 
24  '24 
24  3? 

9.48998 
49087 
49076 
49U5 
49153 

o 

i 

2 

3 

I0.5I002 

50963 
50924 
5o885 
5o847 

9.51178   0 
5l22l|   I 
5l264   1 

5i3o6'  2 
61349  3 

10.48822 

48779 
48736 
48694 
4865  1 

10.02179 
021  83 
02188 
02192 
02196 

0 

0 
o 

o 
o 

9.97821 
978i7 
97812 
97808 
97804 

60 
59 
58 

57 
56 

55 
54 
53 

52 

5i 

So" 

49 
48 
4? 

46 

5 
6 

7 
8 

_9 

10 

1  1 

12 

i3 
i4 

9  35  20 
35  12 
35  4 
34  56 
34  48 

2  24  4o 
24  48 
24  56 
25  4 

25  12 

9.49192 

4923i 
49269 
493o8 

49347 

3 
4 
4 
5 
6 

io.5o8o8 
50769 
5o73i 
60692 
5o653 

9.61392 
5i435 
61478 
61620 
5  1  563 

3 
4 
5 
6 
6 

10.48608 
48565 
48622 
4848o 
4843y 

IO.O22OO 
O22O4 
02208 
O22I2 
022l6 

o 

0 
0 

9.97800 
97796 
97792 
97788 
97784 

9-97779 
97775 
97771 
97767 
97763 

9  34  4o 
34  3a 
34  24 
34  16 
34  8 

2  25  20 
25  2.8 

25  36 
25  44 

25  52 

9.49385 
49424 
49462 
495oo 
49539 

6 

8 
8 
9 

io.5o6i5 
5o576 
5o538 
5o5oo 
5o46i 

9.61606 
61648 
61691 
5i734 

5]  776 

8 
8 
9 

10 

10.48394 
48352 
483o9 
48266 
48224 

IO.0222J 
O2225 
02229 
02233 
02237 

i5 
16 

17 
18 

1? 

20 
21 
22 
23 
24 

9  34  o 
33  52 

33  44 
33  36 
33  28 

2  26   0 

26  8 
26  16 
26  24 
26  3s 

9.49577 
49615 
49654 
49692 
49730 

9 

IO 

1  1 
1  1 

12 

io.5o423 
5o385 
5o346 
5o3o8 
60270 

9.61819 
61861 
61903 
61946 
61988 

IO 

1  1 

12 

i3 
i3 

~T4~ 
i5 
i5 
16 

'7 

10.48181 
48.  39 
48o97 
48o54 
48012 

10.02241 
02246 
O2250 
62254 
02258 

— 

9.97759 

97754 
97760 
97746 
97742 
9-97738- 
97734 
97720 
97726 
9772  r 

45 
41 
43 
42 
4i 
4<- 
3y 
3!'. 
3-; 
3i> 

9  33  20 
33  12 
33  4 
32  56 
32  48 

2  26  40 

26  48 
26  56 

27  4 

27  12 

9.49768 
49806 
49844 
49882 
49920 

i3 
i'3 

i4 
i4 
i5 

10.50232 

50194 
5oi56 
60118 

5oo8o 

9.52o3i 
62073 
62116 
52i57 
62200 

i  0.47969 
47927 
47885 
•  47843 
47800 

10.02262 
02266 
02271 
02276 
02279 

2D 
26 

11 

29 

9  32  4o 

32  32 

3a  24 
3a  16 
32  8 

2  27  20 
27  28 

27  36 
27  44 

27  52 

9.49958 
49996 
5oo34 
50072 
5ono 

16 
16 

17 
18 
18 

io.5oo42 
5ooo4 
49966 
49928 
49990 

9.62242 
62284 
62326 
52368 
62410 

17 
18 

W 
20 
20 

10.47758 
477i6 
47674 
47632 
47590 

10.02283 

02287 
02292 
02296 

02300 

2 
2 

2 

9.97717 
977  '  3 
97708 
97704 
97700 

35 
31 
3j- 
32 
3i 

3o 

29 
28 
27 
26 

3o 
3i 

32. 

33 

34 

9  32  o 
3i  62 
3i  44 
3i  36 
3i  28 

2  28   0 

28  8 
28  16 
28  24 
28  32 

9.50148 
5oi85 

50223 

5o26i 
60298 

'9 

20 
2O 
21 
21 

10.49852 
49815 
49777 
49739 
49702 

9.62462 
62494 
62536 
62.578 
62620 

21 

22. 
22 
23 
24 

10.47548 
4?5o6 

47464 
474" 
4738o 

io.023o4 
02309 

O23lO 

02317 

02321 

2 
2 
2 
2 
2 

9-9/696 

97691 
97687 
97683 
97679 

35 
36 

37 
38 
39 

9  3i  20 

3  I  12 

3i  4 
3o  56 
3o  48 

2  28  4<> 

28  48 
28  56 
29  4 

29  12 

9.5o336 
5o374 
5o4n 

5o449 
5o486 

22 
23 
23 

24 
25 

10.49664 
4962(5 
49589 
4955  1 
495  1  4 

9.62661 
527o3 

62745 
62787 
62829 

24 
25 

26 

27 
27 

10.47339 

47297 
47255 
472i3 
47171 

10.02326 
0233o 
02334 
02338 
02343 

2 

3 
3 
3 

3 

9-97674 
97670 
97666 
97662 
97657 

25 

24 

23 
J>2 
21 

4o 
4i 

42 

43 
44 
45 
46 
47 
48 

49 

9  3o  4o 
3o  32 
3o  24 
3o  16 
3o  8 

2  29  20 
29  28 

29  36 
29  44 
29  52 

9.5o523 
5o56t 
5o5o8 
5o635 
5o673 

25 

26 
26 
27 
28 

10.49477 
49439 
49402 
49365 
49327 

9.62870 
52912 
52953 
62996 
53o37 

28 
29 

I9 

3o 
3i 

3i 

3a 
33 
•<4 

34 

io.47i3o 
47088 

47047 
47006 
46963 

10.02347 
0235i 
02355 
0236o 
02364 

3 
3 
3 
3 
3 

9.  97653 
97649 
97645 
97640 
97636 

2O 

»V 
1  8 

'7 
1  6 

9  3o  o 
29  52 
29  44 
29  36 
29  28 

2  30   0 

3o  8 
3o  16 
3o  24 
3o  32 

9.50710 
5o747 
5o784 
5o82  1 
5o858 

28 

29 
3o 

3o 
3r 

10.49290 
492.53 
492  1  6 
49179 
4914^ 

9.53078 
53  1  20 
53i6i 

53202 

53^44 

10.46922 
46880 
46839 
46798 
46756 

IO.O2368 
02372 
02377 
0238i 
02385 

3 
3 
3 
3 
3 

9.97632 
9-7628 
97623 
976!  9 
976i5 

i5 
M 
i3 

I  2 
I  I 

5o 
5i 

52 

53 

54 

9  29  20 

29  12 

29  4 
28  56 
28  48 

2  3o  4o 
3o  43 
3o  56 
3i  4 

3l  12 

9  .  50896 
5o933 
50970 
5-i  1x17 
5.o43 

31 

3a 
33 

33 

34 

10.49104 

49067 
49o3o 
48993 
48957 

9.53285 
53327 
53368 
53409 
5345o 

J5 
J6 
J6 

37 
38 

10.46716 
46673 
46632 
4659i 
4655o 

IO.O23OO 

02394 

02398 

O24o3 

02407 

4 
4 
4 
4 
4 

9.9:7610 
9-7606 
9/602 
97597 
97^93 

IO 

6 

55 
56 
57 
58 
59 
60 

9  28  4o 

28  32 

28  *4 
28  16 
28  8 
28  o 

2  3  1  20 

3  1  28 
3  1  36 
3  1  44 
3  1  52 

32   0 

9.  5  1080 
5i  i  17 
5ii54 
5i  191 

5l227 

5  1  264 

35 
35 
36 
3? 
37 
3« 

10.48920 
48883 
48846 
48809 
48773 
4«736 

9.53492 
53533 
53574 
536  [5 
53656 
53697 

38 
39 
4o 
4i 

4i 
42 

10.46608 
46467 
46426 
46385 
46344 
463o3 

10.0241  i 
02416 
02420 
02424 

02429 
02433 

4 
4 
4 
4 
4 
4 

9-  97589 
97584 
97680 
97676 
97571 
97667 

5 
4 
3 
i 

i 
o 
M 

12 

Hour  P.M 

Hour  A.M. 

Cosiiu:.  Diff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Cosecant. 

Diff.  Sine. 

108° 


Seconds  of  time  1    !• 

2' 

9 

39 

i4 

4« 

19 

5s 

6* 

7s 

(A        5 

24 

28 

33 

Prop,  parts  of  coin.  *  B         5 

!O 

16 

21 

26 

3i 

37 

(c  1  . 

I 

2 

2 

3    I    3 

4 

p 

s> 

( 
0 

i 

2 

3 
i 

e 

E 

c 

^e204J                 TABLE  XXVIT. 

Log.  Sines,  Tangents,  and  Secants. 
°                A        A      B         B      C        C  100° 

Hour  A.M.  I 

lour  .'.M 

Sine. 

)iff.|  Cosecant. 

'angent. 

>i<'.C 

oUiiii^ent 

Sec-  ant.  Diff.l  Cosine. 

9  p8  o 

27  52 

27  44 
27  36 
27  28 

32  ci 

32   H 

3a  16 

32  24 
32  32 

5.  264 

5.338 
5.374 
5i4i. 

0  I 

i 
I 

2 
2 

0.487.36 
48699 

48(  >(>•;. 
48626 
48689 

9.53697 
53738 
53779 
53820 
5386. 

O  I 
2 

3 

o.463o3 
46262 
46221 
46180 
46i39 

0.02433 
02437 
02442 

•r 

o 

o 

.97667 
97563 
9-7668 
97554 
9755o 

9  27  20 

27  12 

27  4 
26  56 

>    26  48 

2  3?  4<> 
32  48 
32  50 
33  4 
33  12 

-5.447 
5  1  484 
61620 
5  1  55~ 
5  1  59: 

3 

4 
4 
5 
5 

0.48553 
485.6 
4848o 
48443 

484o7 

9.5390; 
5  394  3 

54o65 

3  i 
4 
5 
5 
6 

0.46098 

46o,6 
45975 
45935 

0.02455 

02464 
02468 
024-72 

0 
0 

97545 
9-764. 
97536 

97532 
9-7628 

1C 
T 

\: 
\ 

n 

>  9  26  4o 

26  32 

I    26  24 
}    26  1  6 
i    26  8 

2  33  20 

33  28 
33  36 
33  44 
33  62 

.5.629 
5  1  666 

5l702 

5i73C 

5i774 

(i 

7 

8 
8 

0.4837  i 
48334 
48298 
48262 
48226 

9.64106 
54i47 
54i87 
54228 
54269 

7 

7 
8 

9 

9 

io.45894 
45853 
458,3 

45^72 

4573. 

0.02477 

0248. 
02485 
02,490 
02494 

2 
2 
2 
2 

2 

9-762.3 

9-73,6 
9-7610 

i 

I 
1 

I 

)  9  26  o 
3    26  62 
7    26  44 
3    25  36 

)     25  28 

2  34  o 

34  8 
34  1  6 
34  24 
34  32 

5i847 
5i883 
5.910 
5i955 

9 

IO 
10 

1  1 
II 

0.48189 
48i53 
48117 
48081 
48o45 

9.543oy 
5435o 
5439o 
5443. 
5447i 

IO 

1  1 

12 

i3 

0.46691 
4565o 
456  10 
45569 
46629 

0.02499 
0260^ 
02608 
02612 
026.6 

.975oi 
97497 
97492 
97488 
97484 

•2 
2 
2 
2 
2 

3   9  25  20 
I      25  12 
2     25   4 

3    24  56 

4   24  48 

2  34  4o 
34  48 
34  56 
35  4 
35  12 

.5.991 
6202-7 
62063 
62099 
62  1  35 

12 

I  2 

i3 

0.48009 

47973 
47937 
4-790 
47865 

9.545.2 
54552 
54693 
54633 
54673 

i3 
i4 

16 
i5 

.6 

0.45488 
45448 
45407 
45367 
45327 

o'.  0262  1 
02626 
0253o 
02534 
02639 

•97479 
974  7  5 
9747o 
97466 
9746i 

2 

; 
3 

2 
2 

3 

3 
1 

5  9  24  4o 
6   24  32 
7    2-4  24 
8    24  16 
9    24  8 

2  35  20 

35  28 
35  36 
35  44 
35  52 

9.6217 
62207 
62242 
62278 

16 

i5 
16 

17 
'7 

ic,.4782.9 
4779 
47758 
4772 
4768 

9.547>4 
54754 
5479 
54835 
54875 

17 
•  7 
18 

'9 
•9 

10.45286 
45246 
4520 
45r6 
4612 

10.02643 
02647 
0255 
0255 
0266 

9.97457 
97453 
97448 
97444 
97439 

o  9  24  o 

I      23  52 

*    23  44 
3    23  36 
/i    23  28 

2  36  o 
36  8 
36  16 
36  24 
36  3 

9.5235o 
52385 
62421 
52456 
62.492 

18 
18 
19 
20 

20 

10.4766 

4757 
4754 
475o 

'54955 

54995 
55o35 
55o75 

20 
21 
21 
22 
2J 

io.45o8 
45o4 
45oo 
4496 
4492 

10.0266 
0267 
0267 
02679 
02583 

2 
2 
2 
2 
3 

9.97435 
9743o 
97426 
97421 

97417 

7 

6 

4 

3 

i 

0 
iM 
"0° 

5  9  23  20 

16     23  12 

h    23  4 
J8    22  56 
}9    22  48 

2  36  4c 
36  48 
36  56 

'   37  t- 
37  ' 

9.62627 
52563 
62698 
52634 
6266^ 

21 
21 
22 

23 

10.4747 
4743 

4736 
4733 

o 

en  en  en  en  en 
en  en  en  en  en 

-j  eoso  en  - 
en  en  en  en  en 

23 

24 

25 
25 

26 

10.4488 
4484 
448o 
4476 
4472 

10.02688 
02692 
02697 
02601 
02606 

3 

3 
3 
3 

9.974.2 
97408 
974o3 

97399 

97394 

{<>  9  22  4c 

fl      22  32 
^2     22  2^ 
^3     22  if 

44   22  £ 

2  37  2 

37  2 

37  3 
37  4 
37  5 

9.5270? 

62740 

62.81 
5284( 

24 
2<; 

26 

26 

10.4-729 
4-726 

4722 

47i8 
47i5 

9.553i5 
55355 
55395 
55434 

27 

27 

2.8 

29 
29 

10.4468 
4464 
446c 
4456 
4452 

10.026.0 
02616 
026.9 
02624 
02628 

3 
3 
3 
3 
3 
3 
3 
4 
4 

9.97390 
97385 
9738. 
97376 

97372 

43  9  22  c 
46    21  5: 

/       21  4^ 

48   21  3f 

49     21  2C 

>  2  38 

38 
»   38  i 
>   38  2 
>   38  3 

529i( 
53<  2 

27 
27 
28 

2 

io.47'  i 
47o8 
47o4 
4701 

469-7 

9.555iz 

5555^ 
5559: 
5563: 

6667-' 

3o 
3i 
3i 

32 

33 

10.4448 
4444 
444o 
4436 
4432 

10.02633 
0263- 
02642 
0264" 
02661 

9-9736- 
97363 

97358 
V97353 
97349 

50   9  21  2( 

5i    21  i: 

52     21   ^ 

53    20  5( 

54    20  4! 

>  2  38  4 
i   38  4 
i   58  5 
3   39  ^ 

J   39  . 

9.53o5< 
53o9 
53,2 
53.6 
53ic>< 

3 
3 
3 
3 
3 

10.469^ 

4687 
4683 

9.5571  : 
5575'. 
5579 
5583 
5587c 

33 
34 
35 
35 
36 

10.4428 
44M 

44  2  < 

44.3 

10.0266^ 
02660 
0266^ 
02660 

10.0267^ 
0268: 
02.68* 
0269: 
0269- 
0270 

Cosecant 

1 

n 

4 

4 
4 

4 

IlT 

>  4 

>  4 

A 

j  t 

t 

9-97344 

9?| 

9  26 
9^97322 
973  1  7 
973i  2 
973o8 
973o3 

T  Sine. 
J-—  -* 
C   ' 

'5  9  20  4< 
56  '  20  3 

57     20  2< 

58    20  i 

69     20 
60     20 

)  2  39  2 

?.   39  2 
i   39  ^ 

3   39  4 
3   395 
3   4o 

0 
en  en  en  en  en  en 

CO  CO  CO  CO  CO  CO 
JX  CO  CO  CO  10  !0 

C  -J  Co  O  CT>  Co 

3 
3 
3 
3 
3 
3 

io.4676 
4673 
4669 
4666 
4663 
46.39 

9.559u 
5594c 

5598c 
56o2.5 
56o6- 
56io- 

3- 
38 

7  3^ 

7   4( 

10.4409 
44"5 
44o 
4397 
4393 
4389 

M  :IO,,M>.> 

jIIonrA.. 

Cosi  ie 

.1  ! 

I) 

——  —  —  — 

—•        •  — 

i  nil 

.  Tan^ei 
i 
n 

109° 


Seconds  of  time  

1' 

2* 

Os 

4s 

5" 

6" 

7- 

(A 
Prop,  parts  of  cols.  <J  B 

4 
5 

9 

IO 

i3 
16 

18 

20 

22 
25 
3 

27 
3o 
3 

3i 
35 
4 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
20°               A        A      B        B      C 

[Page  205 

6'. 
C  159° 

Cosine.  JV 

c 

flour  A.  M 

Hour  P.M 

Sine.  Dill'. 

Cosecant. 

Tanivenl. 

Difr.;Co.tang-en 

Sec-ant.  (Diff 

9  20  o 
19  52 
19  44 
19  36 
19  28 

2  40   C 

4o  8 
4o  1  6 

4o  2^ 

4o  32 

9.534o5 
53440 
53475 
535oo 
5354/ 

0 

I 
I 

2 
2 

io.46595 
4656o 
46525 
46491 
46456 

9.56107 
56  1  46 
56i85 
56224 
56264 

O 

I 
I 

2 

3 

io.43893 
43854 
438  1  5 
43776 
43786 

10.02.701!  o 
02.706  o 
027111  o 
02715  o 
02720)  o 

19.97299 

97294 
97289 
97285 
97280 

60 
59 
58 

56 

6 

it 

.8 
19 

9  19  20 

19  12 

19  4 
18  56 
18  48 

2  4o  4c 
4o  48 
4o  56 
4i  4 
4i  12 

9.53578 
536!  3 

53647 
53682 
537iC 

3 
3 
4 
5 
5 

10.46422 
46387 
46353 
463.8 
46284 

9.563o3 
56342 
5638  1 
56420 
56459 

3 

4 
4 
5 
6 

10.43697 
43658 
43619 
4358o 
4354i 

10  02724 
02729 
0273.' 
02738 
02743 

o 

97271 
97266 
97262 
97257 

55 
54 
53 

52 

5; 

9  18  4o 
18  3? 
.8  24 
18  16 
18  8 

2  4l  20 

4i  28 
4i  36 
4  1  44 
4«  52 

9.5375 

53-85 
538i9 
53854 
53888 

6 
6 

7 
7 
8 

10.46240 
4621  5 
46181 
46i46 
46112 

9.56498 
56537 
56576 
566  1  5 
56654 

6 

8 
8 
9 

'43463 
43424 
43385 
43346 

10.02748 

02-52 
O2757 
02762 
02766 

'97248 
97243 
97238 
97234 

5o 

49 
48 

47 
46 

9  18  o 

17  52 

17  44 
17  3f 
17  28 

2  42   C 

42  b 

42  If 
42  24 

42  35 

9.53922 
53957 
53991 
54025 

54o59 

8 
9 

10 

10 
1  1 

10.46078 
46o43 
46009 
45975 

4594i 

9.56693 
56732 

56771 
568  10 
56849 

10 
10 

1  1 

12 
I  2 

10.43307 
43268 
43229 
43  1  90 
43i5i 

10.02771 

02776 

02780 
02785 

02790 

i 
I 

9.97229 
9-7224 

97220 
97215 
97210 

45 
44 
43 

4^ 

21 
22 

23 
24 

9  17  20 

17  12 

17  4 
16  56 
16  48 

2  42  40 
42  4& 

42  56 
43  4 
43  12 

9.54093 
54127 
54i6i 
54i95 
54229 

1  1 

12 
12 

i3 
i4 

10.459-07 
45873 
45839 
458o5 

9.  56887 
56926 
56965 
57004 
57o42. 

i3 
i3 
i4 
i5 
i5 

io.43n3 

43o35 
42996 
42.958 

10.0279^ 
02799 
02804 

02808 

02813 

2 
2 
2 
2 

2 

9.97206 

97201 
97I96 
97192 
97187 
9.9-182 
97178 
97173 
97168 
97l63 

4o 

38 
3? 

36 

25 

26 

27 

28 

29 

9  16  4o 

16  32 

16  24 
16  16 
16  8 
o  16  o 
'  .5  52 
i5  44 
i5  36 
i5  28 

2  43  20 

43  28 
43  36 
43  44 
43  52 

9.54263 
54297 
5433i 
54365 
54399 

i4 

i5 

16 
16 

10.45737 
45?o3 

45669 
45635 
456oi 

9.57081 

57  I  20 

57i58 
57i97 
572.35 

16 
17 

17 
18 

'9 

42880 
42842 
42803 
42765 

10.02818 

02822 
02827 

02832 

02837 

2 
2 
2 
2 
2 

35 
34 
33 

32 

3i 

O  •-  cs  ro  XT 

2  44  o 
44  8 
44  16 
44  24 
44  32 

y.54433 
54466 
545oo 
54534 

17 
17 
18 

19 
19 

io.45567 
45534 
455oo 
45466 
45433 

9.57274 
573i2 
5735i 
57389 
57428 

'9 

20 
21 
21 
22 
22 
23 
24 
24 
25 

10.42726 
42688 
42649 
42611 
42572 

10.02841 
02846 
O285i 
02855 
02860 

2 
2 

3 
3 
3 

3 
3 
3 
3 

9-97i59 
97i54 
97149 
97M5 
9-Ti4o 

3o 
29 

28 

27 
26 

35 
36 

3  7 
38 

3? 

9  1  5  20 

l5  12 

i5  4 
r4  56 

i4  48 

2  44  4o 
44  48 
44  56 
45  4 
45  12 

9  .  546o  i 
54635 
54668 
54702 
§4735 

20 
20 
21 
21 
22 

io.45399 
45365 
45332 
45298 
45265 

9.57466 

57543 
5758i 
576i9 

10.42.534 
42496 
42457 
42419 
4238i 

10.02865 
02870 
02874 
02879 
o?884 

9.97135 
97i3o 
97126 
97121 
97116 

25 
24 
23 
22 
21 

4o 
4  1 

43 
44 

9  i4  4o 
i4  32 
14  24 
i4  16 
14  8 

2  45  20 

45  28 
45  36 
45  44 
45  52 

9.54769 
54802 
54836 
54869 

23 
23 
24 
24 
25 

io.4523i 
45i98 
45  1  64 
45i3i 
45097 

9.57658 
57696 
57734 

57772 

578io 

26 
26 

27 
28 
28 

10.42342 

42266 
42228 
42190 

10.02889 
02.893 
02898 
02903 
02908 

3 
3 
3 

3 
3 

9.9-7111 

97107 
97102 

97092 

20 
'9 

1  8 

'7 
16 

45 

46 

47 
48 

49 

9  i4  o 
i3  52 
i3  44 
i3  36 
i3  28 

2  46  o 
46  8 
46  16 
46  24 
46  32 

9.54936 
54969 

DDOOd 

55o36 
55o69 

25 
26 
26 

27 
28 

io.45o64 
45o3i 
44997 
44964 

9.57849 
57887 

57963 
58ooi 

I9 

3o 
3o 
3i 
3i 

io.42i5i 
4an3 

42075 
42037 
41999 

10.02913 

02917 

O2922 
02927 
O2932 

4 
4 
4 
4 
4 

9-97087 
97o83 
97078 
97073 
97068 

i5 
i4 
i3 

12 
II 

5o 
5i 

52 

53 

54 

9  1  3  20 

l3  12 

i3  4 
12  56 
12  48 

2  46  4o 
46  48 
46  56 
47  4 
47  12 

9.55io2 
55i36 
55  1  69 

55202 

55235 

28 
29 

3o 

10.44898 
44864 
4483  1 
44798 
44765 

9.58039 
58o77 
58.115 

58i53 
58191 

32 

33 
33 
34 
35 

10.41961 
41923 
4i885 
4  1  847 
41809 

I0.02937 

02941 
02946 

O295l 

02956 

4 
4 
4 
4 
4 

9.97063 
97059 
97o54 
97049 
97044 

10 

7 

55 
56 
57 
58 
59 
60 

9  12  4o 

12  32 
12  24 

i?.  1  6 

[2   8 
12   0 

2  47  20 

47  28 
47  36 
47  44 
47  52 
48  o 

9.55268 
553oi 
55334 
55367 
554oo 
55433 

3i 

32 
32 

33 
33 
34 

10.44732 
44699 
44666 
44633 
446oo 
44567 

9.58229 
58267 
583o4 
58342 
5838o 
584  18 

35 
36 
37 
37 
38 

39 

10.41771 
4i733 
41696 
4i658 
41620 
4i582 

10.02961 
02965 

02975 
02980 
02985 

4 
4 
4 

5 
5 

9.97039 
97035 
97o3o 
97025 
97020 
970  1  5 

5 
4 
3 

2 

I 
0 

M 

lour  P.M. 

lour  A.M. 

Cosino. 

)iff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Uosecant.  jDiff. 

Sine. 

3T 

110°              A        A      B        B      C        C   60' 

Srconds  of  time  

1s 

2s 

3* 

4" 

5' 

fi8 

7' 

{A 

4 

8 

i3 

,7 

21 

25 

3o 

B 

5 

10 

i4 

19 

24 

29 

34 

C 

i 

• 

a 

2 

3 

4 

4 

Fa; 

5". 
rjjo 

w" 

0 

£ 

:i 
3 
4 
5 
6 

8 
9 

10 

'  i 

12 

i3 
i4 

'e2>;]                TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants.              r'' 
A        A      B        15      C        C  158° 

-Jo:!--  I'.V  . 

Sine. 

>itf.{Cosecant. 

'angent.  I 

)iff. 

otan^ent 

Secani. 

)\ff.\  Cosiiu-. 

•M 

9  12  o 

I  I  52 

ii  44 
ii  36 
ii  28 

2  48  -i 

/«   -! 

48  ;> 
48  i'. 
48  2,' 
4i>  3, 

j.  55433 
55466 
55499 
55532 
55564 

o 
i 

2 

2 

0.44567 

44534 
445oi 
44468 
44436 

9.584i8 
58455 
58493 
5853  1 
58569 

o 
i 
r 

2 

2 

0.4l582 
4i545 
4  1  5o7 
4>469 
4i43i 

0.02985 

0300f; 

02995 
02999 

o3oo4 

o  J9 

0  1 
0 
0 

o 

.97015 
97010 
97co5 
97001 

9699(1 

K> 

1? 

>7 

V3 

9  1  1  20 

II  12 

ii  4 
10  56 
10  48 

•2  4i-  4  • 

48  4'i 
48  &:> 

49  4' 

49  12 

•).  55597 
5563o 
55663 
55695 
557a8 

3 
3 
4 
4 
5 

o.444o3 

4437o 
44337 
443o5 
44272 

9.586o6 
58644 
5868  1 
587i9 
58757 

3 

4 
4 
5 
6 

o.4i394 
4  1  356 
4i3i9 
41281 
4i243 

o  .  o3oo9 
o3oi4 
o3oi9 
o3o24 
o3o29 

0  S 

0 

I 
1 

I 

>.  96991 
96986 
9698, 
969-6 
96971 

15 

54 
53 

^2 

5i 
5o 

.  c 

47 
46 

45 
44 
43 

42 

4i 

4o 
3o 
38' 
37 
36 

9  10  4o 

10  32 
10  24 

10  16 
10  8 

2  49  20 
49  28 

49  36 
49  44 
49  52 

o.5!/76i 
55793 

55C,?6 
55*  !# 
S5C9.T 
.55023 
55o56 
55o88 
56o2i 
56o53 

5 
6 
6 

7 
7 

[o.44239 
44207 
44i74 
44i42 
44109 

9.58794 
58832 
58869 
58907 

58  ?44 

6 

7 
7 
8 

9 
9 

IO 
IO 

I  I 

12 

0.41206 
4u68 
4n3i 
4io93 
4io56 

o.o3o34 
o3o38 
o3o43 
o3o48 
o3o53 

I 
I 
I 
I 
I 

'•96966 
96962 

96957 
96962 

96947 

i5 
16 

17 
18 

i? 

20 
21 
22 
2: 

2^ 

9  10  i! 
9  5. 
o  44] 

9  36 
9  28! 

2  5o   O 

5o  8 
5o  16 
5o  24 
5o  32 

JJ 
9 

9 

IO 

10 

10.44077 
44o44 
44012 

43979 
43947 

9.58981 
59019 
59o56 
59o94 
59i3i 

io.4ioi9 
4o98i 
4oo44 
4o9o6 
40869 

o.o3o58 
o3o63 
o3o68 
o3o73 
03078 

I 

I 
I 

2 

j.  o694  2 
96o37 

9f> 
^927 

9699.2 

9  9  20 

9  ,2 

9  4 
8  56 
8  48 

2  5o  4o 
5o  48 
5o  56 
5i  4 
5i  12 

,56o85 

56  118 
56i5o 
56.82 
562  1  5 

I  i 
1  1 

12 
12 

i3 

10.4391  5 
43882 
•  4385o 
438  1  8 
43785 

9.59168] 
59205 
59243 
59280 
593.7 

12 

i4 

M 
i  c 

io.4o83a 
4o795 
4o757 
40720 
4o683 

o.o3o83 
o3o88 
o3o93 
o3o97 

O3l02 

2 
2 
2 
2 
2 

9-969'7 
96912 

96907 
9690.3 
968r/; 

25 
2t) 

28 
2O 

9  8  4o 
8  3., 
8  24 
8  1  6 
8  8 

1  5l  20 

5  1  28 
5  1  36 
5i  44 
5i  52 

9.56247 
56279 
563  1 
56343 
56375 

i3 
i4 

i4 
1  5 
,6 

0.43753 
43725 

43689 

A31  1 
4362 

9-59354 
59391 
59429 
59466 

59503 

i5 
16 

17 
17 
18 

10.40646 
40609 
40671 
4o534 
40497 

10.03107 

03)12 

o3i  17 

O3l22 

O3l27 

2 
2 
2 
2 
2 

9.96893 

96888 

96883 
96878 
96873 

3b 

3. 

3i 

20 
2« 

27 
26 

o 

2 

33 

34 

980 
7  52 
7  44 
7  36 
7  28 

2  52   O 

52  8 

52  1  6 

52  2.4 

52  3  a 

9.564o8 

5644o 
56472 
565o4 

56536 

16 

17 

17 

18 
18 

io-4359 
4356 
435^ 

4340 
4346 

9.5954oi  19 
59577  '9 

59614  20 

50651  20 
59688  2, 

io.4o46< 
4042 
4o38b 
4o34 
4o3t 

io.o3i32 
o3.37 
o3i42 
o3i47 
o3i5a 

io.o3i57 
o3i6? 
o3i67 
o3  1  72 
o3i77 

2 
3 
3 
3 

3 

9.96868 
96863 
06858 
96853 
^848 

35 
36 

37 
38 

?1? 
no 
4> 
i«a 

43 

44 

9  7  20 
7  12 
7  4 
6  56 
6  48 

2  52  4o 
52  48 
52  56 
53  4 
53  12 

9.56568 
56599 
5663. 
56663 
56695 

19 
19 

20 
20 
21 

io.4343 
434o 
4336 
4333 
433o 

»1j£ 
&8 

59872 

22 
2^ 
23 

24 

10.4027 
4023 

4020 

4oi6 
4012 

3 
3 
3 
3 
3 

9.96843 
o6838 
96833 
96828 
96823 

|a!) 

24 
23 
2-2 
31 

9  6  4o 
6  32 
6  24 
6  it 
6  & 

2  53  20 

53  28 
53  36 
53  44 
53  52 

9.56727 
56759 
5679c 
56822 
5685^ 

21 
22 

22 
23 

24 

24 
25 
25 

26 
26 

10.4327 
4324 
432i 
43i7 
43  1  4 

9-  ^99°9 
59946 
59983 
60019 
6oo56 

;25 
25 

26 

27 

27 

i  o  .  4009 
4oo5 
4ooi 
3998 
3994 

io.o3i82 
o3i87 
o3  1  92 
o3i97 

03202 

3 
3 
3 

4 
4 

9.968:8 
968  1  3 
96808 
o68o3 
96798 

2O 

'9 

18 

'7 
1  6 

45 
46 
47 
48 

4? 
5o 
5i 
5  a 
53 
54 

o  6  c 

5  5? 
5  M 
5  3C 
5  a£ 

2  54  o 
54  8 
54  16 
54  24 
54  32 

9.5688e 
5691- 
5694c 
-56981 

5701: 

io.43i  i 
43o8 
43o5 

4302 
4298 

0.6009: 
6oi3c 
6oi6£ 
6020' 
6oa4c 

28 
28 

?9 

3o 
3o 

io.399o 
3987 
3o83 

3979 
3976 

10.0320- 
03212 

o32i- 

03222 
0322^ 

4 

4 
4 
4 
4 

9.96793 

96788 
96783 
96778 
9677? 

ID 

i4 
1  3 

I  2 
1  I 

9  5  2e 
5  i: 

5  i 
4  5( 
4  4£ 

2  54  4< 
54  48 
54  56 
55  i 
55  i 

9.5704^ 
5707' 
5710- 
57i3* 
57i6< 

27 

27 
28 
28 

29 

io.4295 

4292 

4289 

4286 

4283 

9.6o27( 
6o3t: 
fo34c 
6o38( 
6,42: 

3i 
3  1 

32 

33 
33 

io.39-2 
3968 
3965 
3o6i 

3957 

io.o323, 
o32.3J 

0324: 

o324£ 
o325: 

4 

4 
4 
4 

4 

96762 

96757 
96752 

96747 

I 
6 

55 
56 
57 
58 
5$ 
(k 

9  1  f: 
4  2, 
4  i< 

4  i 
4  < 

2  55  20 

55  28 
55  36 
55  M 
}\   55  5 
J   56  c 

9.5720 
V5723 
5726, 
5729 
5732< 
5735 

29 
3o 
3o 
3i 

32 
32 

10.4279 
4276 
4273 
4270 
4267 
4264 

9.6o45< 
60/9 
6o53 
6o56! 
6o6c 
6o64 

34 
35 
35 
36 
36 
37 

io.3954 
395o 
3946 
3943 
3939 
3?35 

io.o325L 
o3p.6: 
o326J 
0327: 
o3a7? 
o3a8: 

D 

5 
5 
5 
5 
5 

DitT 

9-967^ 
96737 
96702 
9672- 
9672: 
0671-; 
Sine. 

4 
3 
a 

o 
^ 

M 
1  1 

Hour  kMi.)  Hour  A.M 
.  1  
i" 

Cosine.  |Diff 

i 

A 

Secant 
A 

Cotangent  Uitf.j  rangen 
B         B 

C 

C 

G8'J 

TABU:  xxvn. 

^"*               IjOg-  Sines,  Tangents,  and  Secants. 
29°              A       A      B        B      C 

[Page  «07 
G'. 
C  157° 

M 

Hour  A.M. 

Hour  I'.M. 

Sine. 

Dinr. 

Cosecant. 

Tangent. 

Diff 

Cotangent 

Secant. 

Difl'. 

Cosine. 
9.  96717 

967I! 

96706 
06701 
96696 

M 

o 

i 

2 

3 
4 

9  4  o 
3  52 
3  44 
3  36 
3  28 

2  56  o 
56  8 
56  16 
56  24 
56  32 

9.57358 
57389 
5742o 
5745i 
57482 

o 
i 

i 

2 

2 

10.42642 
42611 
4258o 

o.  6064  . 
60677 
607  1  4 
6o75o 
6o786 

o 

1 

2 
2 

io.39359 
3932.3 
39286 
3925o 
392i4 

io.o3283 
o3289 
o3294 
o3299 
o33o4 

0 
o 

o 

0 

o 

60 

56 

5 
6 

8 
9 

9  3  20 

3  12 

3  4 

2  56 
2  48 

2  56  4o 
56  48 
56  56 

57  4 

57  12 

9.575i4 

57545 
57576 
576o7 
57638 

3 
3 

4 
4 
5 

10.42486 
42455 
42424 

42362 

9.  608  23 
60869 

6o93i 
6o967 

3 

4 
4 
5 
5 

io.39i77 
39141 

39.o5 
39o69 
39033 

io.o33o9 
o33.4 
o33.9 

o3324 
o333o 

o 

9.9669i 
96686 
9668i 
916676 
96670 

55 
54 
53 

52 

5. 

10 

1  1 

12 

i3 

i4 

9  2  4o 

2  32 
2  24 
2  l6 
2   8 

2  57  20 

57  28 
57  36 
57  44 
57  52 

9.57669 
67700 
5773i 
57762 
57793 

5 
6 
6 
7 

7 

io.4233r 

42300 
42238 

42207 

9.6ioo4 
6io4o 
61076 

6l  I  12 

6n48 

6 

7 

8 
8 

10.38996 
3896o 
38924 
38888 
38852 

io.o3335 
o334o 
o3345 
o335o 
o3355 

9.96666 
96660 

96655 
9665o 
96645 

5o 

1 

47 
46 

i5 

1  6 

18 
'9 

920 

I  52 

i  44 
i  36 
i  28 

2  58  o 
58  8 
58  16 
58  24 
58  32 

9  '57855 
57885 

57947 

8 
8 
9 
9 

10 

10.42176 
42i45 
42ii5 

42084 
42o53 

9.61184 

6.220 

6i256 

6l292 

6i328 

9 
10 

10 

1  1 
1  1 

10.388.6 
3878o 
38744 
387o8 
38672 

io.o336o 
o3366 

o3376 
o338. 

9.96640 
96634 
96629 
96624 
966.9 

45 
44 
43 

42 

4i 

20 
21 
32 
23 
24 

9  i  20 

I  12 

i  4 
o  56 
o  48 

2  58  4o 
58  48 
58  56 
59  4 

59  12 

9  '58oo8 
58o39 
58o7o 
58ior 

10 

1  1 
1  1 

12 
12 

10.42022 
41992 
41961 

4i93o 
4i899 

9.  6.364 
6.400 
6.436 
6>472 
6i5o8 

12 

i3 

id 

i4 

i4 

10.38636 
386oo 
38564 
38528 
38492 

10.38456 
3842i 
38385 
38349 
383  1  3 

io.o3386 
o3392 
o3397 
o34o2 

2 
2 
2 
2 
2 

9.96614 
96608 
966o3 
o6598 
96593 

4o 
39 
3ft 
37 
36 

25 

26 

27 
28 

29 

3o 
3i 
3  a 

33 

34 

9  o  4o 

0  32 

o  24 
o  16 
o  8 

2  59  20 
69  28 

59  36 

59  44 
59  52 

9.58.3i 
58i62 
58  1  02 
58123 
58253 

13 

i3 
i4 
i4 
16 

io.4i869 
4i838 
4  1  808 

4.777 
4i747 

9.6i544 
61  579 
61616 
6i65i 

6.687 

16 

i5 
16 

17 
17 

10.034.2 
o34i8 

03428 
o3433 

2 
2 

2 
2 

3 

9.96588 
96582 

96677 
9=6572 
96567 

35 
34 
33 

32 

3. 

900 
8  59  52 
59  44 
69  36 
59  28 

3  o  o 
o  8 
o  16 
o  24 

0  32 

9.68284 
583t4 
58345 
583-5 
68406 

i5 
16 

16 

17 
17 

10.4.716 
4.686 
4i655 
41625 
4i594 

0.61722 
'  6i758 
61794 
6i83o 
6.865 

18 
18 
'9 

20 
20 

10.38278 
38242 
38206 
38  1  70 
38i35 

io.o3438 
o3444 
o3449 
o3454 
o3459 

3 
3 
3 
3 
3 

9.96662 

96556 
9655i 
^546 
96641 

3o 
20 
28 

27 
26 

35 
36 

37 
38 

39 

8  59  20 
59  12 
59  4 
58  56 
58  48 

3  o  4o 
o  48 
o  56 
i  4 

I  12 

9.58436 
58467 
58497 
58527 
58557 

18 
18 
»9 

20 
20 
21 
21 
22 
22 

io.4i564 
4.533 
4i5o3 

4  1  443 

9.6i9oi 
6i936 
6i972 
62008 
62043 

21 
21 
22 
23 
23 

10.38099 

38o64 
38028 
37992 

37957 

io.o3465 
o347o 
o3475 
o348o 
o3486 

3 
3 
3 
3 
3 

9.  96535 
^530 

96520 
965i4 

25 

").(. 

22 
2  1 

20 
I9 

18 

17 

.6 

4o 
4i 

42 

43 
44 

8  58  4o 
58  32 
58  24 
58  16 
58  8 

3  i  20 

1  28 

i  36 
i  44 

I  52 

9.58588 
586.8 
58648 
58678 
587o9 

io.4i4i2 
4i382 
4i352 
4i3aa 

4l29I 

9.  62079) 
621  14 
62160 
62185 

6^22  1 

24 
25 

26 
26 

io.3792i 
37886 
37860 

378i5 

37779 

io.o349i 
o3496 
o35o2 
o35o7 
o35.2 

3 

4 
4 
4 
4 

9.96609 

965o4 
96498 
96493 
96488 

45 

46 
47 
48 
49 

8  58  o 
57  52 
57  44 
57  36 
57  28 

320 
2   8 
2  16 
2  24 
2  32 

9.58739 
58769 
58799 
58829 
58859 

23 
23 
24 
24 
25 

10.41261 
4i23i 
41201 
41171 

9.  62256 

62292 
62327 

62362 
62398 

2.7 

2.7 

28 
29 

io.37744 
37708 
37673 
37638 
376o2 

ro.o35.7 
o352.3 
o3528 
o3533 
o3539 

4 
4 
4 
4 
4 

9.96483 
96477 
96472 
9.6467 
9646i 

r 
I  I 

o  ~  «  ro  XT 
m  m  m  m  m 

8  57  20 

57  12 

57  4 
56  56 
56  48 

3  2  4o 
2  48 
2  56 
3  4 

3  12 

9.58889 
589,9 
58949 
58979 
59009 

25 
26 
26 

27 
?-7 

10.  4i  .  i  i 
41081 

4io5i 

4l02l 

4o99i 

9.62433 

62468 
62504 
62539 

62574 

3o 

3o 
3i 

32 
32 

io.37567 
37532 
37496 
3746i 
37426 

io.o3544 
o3549 
o3555 
o356o 
o3565 

4 
4 
5 
5 
5 

9.96456 
9645. 
06445 

9644o 
o6435 

10 

8 
6 

r, 

2 

O 

55 
56 

57 

58 
69 

60 

8  56  4o 
56  32 
56  24 
56  16 
56  8 
56  o 

3  3  20 

3  28 
3  36 
3  44 
3  52 
4  o 

9.59o39 
59o69 
59o98 
59.28 
59.58 
59.88 

28 
28 
29 

3i 

DifT 

io.4o96i 
4o93i 

40902 

40872 
40842 
40812 

9.62609 

62645 
62680 
62715 
62760 
62785 

33 
33 
34 
35 
35 
36 

10.3739. 
37355 
3732o 
37285 
3725o 
372i5 

io.o357i 
o3576 
o358i 
o3587 
o3592 
o3597 

5 
5 
5 
5 
5 
5 

9.96429 
96424 
96419 
964.3 
96408 
964o3 

M 

Hour  P.M. 

IIourA.M. 

Cosine. 

Secant. 

Cotangent 

Tangent. 

Cosecant. 

Diff. 

Sine. 

M 

112C 


Seconds  of  time            . 

l« 

9s 

3« 

4" 

5- 

6* 

7s 

(A 

4 

8 

ii 

i5 

19 

23 

27 

Prop,  parts  of  cols.  J  B 

4 

9 

i3 

.8 

22 

27 

3  1 

I  C 

i 

i 

2 

3 

3 

4 

5 

I>l8e3)81'                 TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
$J°               A        A      B         B      C 

G  . 
C  156° 

i 

M 

0 

i 

2 

3 

4 

5 

6 

7 

8 
9 

our  A.M.  1 

•lour  P.M. 

Sine.  IDiff. 

Josecanl. 

raiigeni. 

>iflV 

'oiaii«-ent 

Secanl. 

>iff. 

0 
0 
0 
0 

o 

Cosine.  M 

b  56  o 
55  52 
55  44 
55  36 
55  28 

34o 
4  8 
4  16 
4  24 
4  32 

?.  59i88 
59.fi 
5924v 
59277 
593o7 

0 
0 

2 

0.40812 
40782 
40753 
4o7a3 
4o693 

9.62785 
62820 
62855 
62890 
62926 

o 

2 

2 

o.372i5 
37i8o 
37i45 

37110 

37074 

o.o3597 
o36o3 
o36o8 
o36i3 
o36  1  9 

.964o3  60 
96397  59 
96392  58 
96387  57 
96381  55 

8  55  20 
55  12 
55  4 
54  56 
54  48 

3  4  4o 
4  48 

4  56 
5  4 

5  12 

9.59336 
59366 
59396 

59425 
59455 

2 

3 
3 

4 
4 

o.4o664 
4o634 
4o6o4 
4o575 
4o545 

9.62961 
62996 
63o3. 
63o66 
63ioi 

3 
3 
4 
5 
5 

0.37039 
37004 
36969 
36934 
36899 

0.03624 
o363o 
c3635 
o364o 
o3646 

0 

>.o6376  5c 
9637o  ^ 
96365  53 
96360  5: 
o6354  5 

10 

1  1 

12 

i3 

i4 

8  54  4o 
54  32 
54  24 
54  it) 
54  8 

3  5  20 
5  28 
5  36 
5  44 
5  52 

9.59484 
595i4 
59543 
59573 
59602 

5 
5 
6 
6 

7 

7 
8 
8 
9 
9 

o.4o5i6 
4o486 
4o457 
40427 
4o398 

9.63i35 
63  1  70 
632o5 
6324o 
63275 

6 
6 

7 

8 

[0.36865 
3683o 
36795 
3676o 
36725 

o.o365  i 
o3657 
o3662 
o3667 
o3673 

p.  96349  5c 
96343  4< 
96338  4! 
96333  4 
963  27  4 

I 

1 

7 
) 

i5 

16 
'7 
18 

'9 

8  54  o 
53  52 
53  44 
53  36 
53  28 

3  6  o 
6  8 
6  16 
6  24 
6  32 

9.59632 
5966i 
5969o 
59720 
59749 

io.4o368 
4o339 
4o3io 
40.280 
402  5  1 

9.633io 
63345 
63379 
634  1  4 
63449 

9 

9 

10 
10 

1  1 

io.3669o 
36655 
3662.1 
36586 
3655  1 

o.o3678 
o3684 
o3689 
o3695 
o37oo 

2 
2 

9.96322  4 
963.6  4 
963n  4 
963o5  4 
96300  i 

j 

\ 

i 

20 

21 
22 

8  53  20 
53  12 
53  4 

52  56 
52  48 

3  6  4o 
6  48 
6  56 
7  4 
7  12 

9.59778 
59808 
59837 
59866 
59895 

10 
10 

1  1 
ii 

12 

10.40222 
4oi92 
4oi63 
40  1  34 
4oio5 

9.  63484 
635i9 
63553 
63588 
63623 

12 

12 

i3 
i3 
i4 

io.365i6 
3648  1 
36447 
364i2 
36377 

o  o37o6 
o37u 
o37i6 

0372.2 
O3727 

2 

2 
2 
2 
2 

9.96294  4 
96289  3 
96284  3 
962-78  3 
962-73  3 

0 

9 

8 

j( 

2* 
29 

8  52  4o 

52  32 

52  24 

52  16 
52  8 

3  7  20 
7  28 
7  36 
744 
7  5i? 

9.59924 
59954 
59983 
60012 
60041 
9.60070 
60099 
60128 

60  1  57 

60186 

t 

4 

10.40076 
40046 
40017 
39988 
39959 

0.6365-; 
63692 
63726 
63761 
S3796 

9.6383o 
63865 
63899 
63934 
63968 

i4 
i5 
16 
16 
17 

17 
18 
18 

'9 
20 

io.36343 
363o8 
36274 
36239 
36204 

io.o3733 
o3738 
o3744 
o3749 
o3755 

2 
2 

2 

3 
3 

9.962.67  3 
96262  3 
06256  .5 
0625  i  : 

962.45  : 

2 

T 

3o 
3i 
3  a 
33 
3 

8  52  o 
5i  52 
5i  44 
5i  36 
5i  28 

3  8  o 
8  8 
8  16 
8  24 
8  32 

i5 
i5 
i5 
16 
16 

io.3993o 
399oi 
39872 
39843 
398i4 

io.36i7o 
36i3 
36io 
36o66 
36o3 

io.o376o 
o3766 
o377i 
o3777 
o3782 

3 
3 
3 
3 
3 

9.9624  ; 
^23  : 
9-6229  : 
96223  : 
9621  • 

,0 

9 
,8 
I1 

.6 

3* 
36 
3 
38 
3 

8  5i  20 

5l  12 

5i  4 
5o  56 
5o  48 

3  8  4« 
8  48 
8  56 

9  4 
9  12 

9.  6021  5 
60244 
6o273 
6o3o2 
6o33i 

17 
17 
18 
18 
'9 

io.39785 
39756 
39727 
3o698 
39669 

9>64oo3 
64o37 
64072 
64  ioc 
64i4c 

20 
21 
21 
22 
22 

10.3599 
3596 
3592 
3589 
3586 

io.o3788 
o3793 

o3799 
o38o4 
o38io 

3 
3 
3 
3 
4 

9.9,6212  : 

9.620-7  : 

^20!  : 

96190  • 
96i9o  • 

i 
i. 

<3 

12 

).  I 
1C 

4 
4 
4 
4- 

\ 

8  5o  4o 
5o  32 
5o  it 
5o  16 
5o  8 

3  9  20 
9  28 
9  36 
9  44 
9  52 

9.6o35c 
60  388 

604  1  7 
6o446 
6o474 

'9 

20 
2O 
21 
21 

10.39641 

3961  2 

39583 
39554 
39526 

9.  64i75 
64209 
6424i 
6427£ 
643  1  2 

23 
24 
24 
25 
25 

,  26 
26 

,  27 
>  28 
i  28 

10.3582 
357o 
3575 
3572 
3568 

io.o38i5 
o382i 
o382.6 
o3832 

o3838 

4 
4 
4 
4 
4 

|9.96i85 
1  96i79 
9617^ 
96168 
96162 

4 

4 
4 
4 
1 

8  5o  c 

49  52 
4Q  M 
49  36 
49  28 

3  10  o 
10  8 
10  16 
10  24 

10  32 

o.6o5o: 
6o53a 

6o56i 
6o585 
606.  fc 

22 
22 
23 
23 

24 

10.39497 
39468 
39439 
394u 
39382 

9.6434C 
6438 
644  iJ 
6444c 
6448: 

10.3565 
356i 
3558 
3555 
355i 

io.o3843 
o3849 
o3854 
o386o 
o3865 

4 
4 
4 
4 
4 

9.96.57 
96161 

96146, 
96140 
96i35 

1C) 

•^ 
5? 

8  49  2c 
49  is 
49  t 
48  5f 
48  4£ 

3  10  4o 
10  48 
10  56 
>   ii  4 

i     II  12 

9.6064^ 
6o67f 
6070^ 
6073: 
6076 

24 
25 
25 
26 
26 

io.39354 
39325 
39296 
39268 
39239 

9.6451- 
6455: 
6458( 
6462( 
6465, 

1  29 

\  y 

)  3o 
)  3i 
<  3i 

10.3548 
3544 
354i 
3538 
3534 

10.  0 

o 
o 
o 

0 
IO.O 
0 
0 
0 
0 
0 

Cose 
i 

6" 

22 
26 
A 

jo7i 

3877 
3882 
3888 
3893 

389c 
39o5 
39ic 
39i6 

3<y2  I 

cant 

CJ 
7- 

25 

3i 
^ 

'j 
5 
5 

K 

5 

5 
5 
5 
5 
6 

Diff 

9.96129 
9612: 
96118 
96112 
96107 

"9^°J 

96095 

06090 
96064 
960-79 

..Jffi 

.  Si/io. 
C 

6 

8  48  4^ 
48  3; 
48  2^ 
48  i( 
48  i 
48  c 

)  3  II  2C 
II  28 

i  ii  3e 

>   ii  M 

\     II  53 
)     12   C 

9.60780 
608  1£ 
6o84^ 
6087' 
6090: 
6o93 

27 
27 
28 
28 
29 
29 

10.39211 
39182 
39i54 
39125 
39097 
39069 

9.64681 
6472: 
6475( 
6479< 
6482; 
648  51 

J  32 
,  32 

5  33 
>  33 
I  34 
5  35 

io.353i 
3527 
3524 
352i 
35i7 
35i4 

Hour  p.  M 

.  Hour  A.  M 

Cosine 

Diff 

Serai 

—  —  — 
A 

- 

Cotangen 

— 

B 

p~~ar~ 

t  D.fl 

-  —-  '  — 

3' 

Tai 

—  — 

4' 

ige» 
B 

5» 

18 

22 

1 

113° 

A 

Seconds  of  time  . 

(A 

Prop,  parts  of  cols.,!  B 

4    7 
4   9 

ii 
i3 

i5 

17 

a 

TABLE  XXVII.                [Page  am 

^                Log.  Sines,  Tangents,  and  Secants.               &*• 
'M°               A        A      B        B      C        C  155° 

M 

0 

i 

2 

4 

Hour  A.M.  [Hour  P.M 

Sine.  Diff 

Cosecant. 

Tang-ent. 

Diff. 

0 

i 
i 

2 
2 

~~3 

3 

4 
4 
5 

Cotangent 

Secant.  D  ff.  Cosine. 

M 

8  48  o 

47  52 
47  44 
47  36 
47  28 

3  12   0 

12   8 
12  16 
12  2/ 
12  32 

9  .  6o93  i 
6o96o 
6o988 
6  1  o  i  (: 
6io45 

O 

o 

I 
I 

2 

io.3oo69 
39o4o 

39OI2 

38984 
38955 

9.  64858 
64892 
64926 
64960 
64994 

io.35i42 
35io8 
35074 
35o4o 
35oo6 

io.o3927 
03933 
o3938 
o39  f  4 
o395o 

i°o 

0 

o 

0 

9.96073 
96067 
96o62 
960  56 
96o5o 

60 

% 

57 
56 

6 

8 
9 

8  47  20 
47  12 
47  4 
46  56 
46  48 

3  12  4o 
12  48 
12  56 
i3  / 

l3  12 

9.  6  1073 
61  101 

6  1  I29 

6n58 
61186 

2 
3 

3 
4 
4 

10.38927 
38899 
3887i 
38842 
388  1  4 

9.65o28 
65o62 
65oo6 
65i3o 
65  1  64 

10.34972 
34938 
34904 
3487o 
34836 

io.o3955 
o396i 
03966 
03973 

o3978 

0 

9.96o45 
96o39 
96034 
96028 

9OO22 

55 
54 
53 

52 

5i 

10 

1  1 

12 

i3 

1  4 

8  46  4o 
46  32 
46  24 
46  16 
46  8 

3  i3  20 
i3  28 
i3  36 
i3  44 
i3  52 

9.612.4 
61242 
61270 
6i298 
6i3a6 

5 
5 
6 
6 
6 

io.38786 
38758 
3873o 
38702 
38674 

9.65i97 
6523  1 
65265 
65299 
65333 

6 
6 

7 

8 

io.348o3 
34?69 
34735 
34701 
34667 

io.o3983 
03989 
o3995 
o4ooo 

o4oo6 

9.96017 
O60II 

o6oo5 
96000 
95994 

5o 

49 
48 
4-? 
46 

f* 

16 

'  7 
18 

'9 

8  46  o 
45  52 

45  44 
45  36 
45  28 

3  14  o 
i4  8 
i4  if 
14  24 
14  32 

9.6.354 
6i382 
6i4i  i 
6i438 
6  1  466 

7 
7 
8 
8 
9 

10.38646 
386  1  8 
38589 
38562 
38534 

9.65366 

654oo 
65434 
65467 
655oi 

8 
9 
9 
10 
1  1 
ii 

12 
12 

i3 

i3 

io.34634 
346oo 
34566 
34533 
34499 

io.-o4oi2 
o4o  1  8 
04023 
0.4029 
o4o35 

I 

2 
2 
2 
2 

9.95988 
93982 

95977 
9597' 
95965 

45 
44 
43 

42 

4i 
4o 
39 
38 

37 
36 

20 
21 
22 
23 
24 

8  45  20 
45  12 
45  4 
44  56 
44  48 

3  i4  4o 
i4  48 
i4  56 
i5  4 

l5  12 

9.6i494 
6i5a2 
6i55o 
6r578 
61606 

9 
10 
10 
ii 
1  1 

io.385o6 

38478 
3845o 
38422 
38394 

9.  65535 
65568 
65602 
65636 
65669 

io.34465 
34432 
34398 
34364 
3433. 

io.o4o4o 
o4o46 
o4o52 
o4o58 
o4o63 

2 
2 
2 
2 
2 

9.95960 

95954 
95948 
95942 
95937 

2.5 
26 

2? 
28 
29 

8  44  4o 
44  32 

44  24 
44  16 
44  8 

3  i5  20 
i5  28 
i5  36 
1  5  44 
i5  52 

9.6i634 

61662 
6i689 
61717 

6i745 

12 
12 
12 

i3 

i3 

~i4 
i4 
i5 
i.5 

16 

10.38366 
38338 
383n 
382.83 
38255 

9.65703 
65736 
65770 
658o3 
65837 

i4 
i5 
i5 
16 
16 

17 
17 
18 
18 
*9 

10.34297 
34264 
3423o 
34i97 
34i63 

io.o4o69 
04075 
04080 
04086 
o4o92 

2 
2 
3 
3 
3 
~3~ 

3 
3 
3 
3 

9.9593. 
95925 

95920 

959i4 

959o8 

35 
34 
33 

32 

3i 

3o 
3i 

32 

33 

34 
35 
36 

37 
38 
39 

8  44  o 
43  52 
43  44 
43  36 
43  28 

3  16  o 
16  8 
16  16 
16  2.4 
16  32 

9.  6i773 
61800 
61828 
6i856 
6  1  883 

10.38227 
38200 
38i72 
38  1  44 
38n7 

9.65870 
659o4 
65937 
6597i 
66004 

io.34i3o 
34096 
34o63 
34029 
33996 

i  o  .  o4o98 
o4io3 
o4io9 
o4i  1  5 
04121 

9.95902 

95897 
9589i 
95885 
95879 

3o 

29 

28 

2T 

26 

8  43  20 
43  12 
43  4 
42  56 
42  48 

3  16  4o 
16  48 
16  56 

17  4 

17  12 

9.61911 

fr939 

6i9o6 
6i994 
62021 

16 

17 
17 
18 
18 

io.38o89 
38o6i 

38o34 
38oo6 
37979 

9.66o38 
66071 
66104 
66  1  38 
66171 

20 
2O 
21 
21 
22 

io.33o62 
33o29 

33896 
33862 
338a9 

10.04127 

o4i32 
o4i38 
o4i44 
o4i5o 

3 
3 

4 
4 
4 

9.95873 
95868 
95862 
95856 

9585o 

25 

24 

23 
25 
21 

4o 
4  1 
42 
43 
44. 

8  42  4o 

42  32 

42  24 
42  16 
42  8 

3  17  20 

17  28 

17  36 
17  44 
17  52 

9.62049 
62076 
62104 
62i3i 
62i59 

18 
19 

19 
20 

20 

io.3795i 

37924 
37896 
37869 
3784i 

9.66204 
66238 
66271 
663o4 
66337 

22 
23 
23 
24 
25 

~25~ 

26 
26 
27 

27 

io.33796 
33762 
33729 
33696 
33663 

io.o4i56 
04161 
04167 
o4i73 
o4i79 

4 
4 
4 
4 
4 

9-95844 
95839 
95833 
95827 
9582. 

2O 

17 

16 
75 
i4 
i3 

12 
II 

10 

I 

6 

45 
46 
47 
48 
49 

8  42  o 
4i  52 
4i  44 
4r  36 
4  1  28 

3  18  o 
18  8 
18  16 
18  2.4 
18  32 

9.  62186 
62214 
62.241 
62268 

62296 

21 
21 
22 
22 
23 

io.378.4 
37786 
37759 
37732 
377o4 

9.6637i 
664o4 
66437 
66470 
665o3 

io.33629 
33596 
33563 
3353o 
33497 

io.o4i85 
o4«9o 
o4i96 
04202 
04208 

4 
4 
5 
5 
5 

9.958i5 
958io 
958o4 
95798 

95792 

bo 
5i 

52 

53 
54 

8  4r  20 
4i  12 
4i  4 
4o  56 
4o  48 

3  18  4o 
18  48 
18  56 
19  4 

I9  12 

9.62333 

6235o 
62377 
624o5 
62432 

23 

24 
24 
24 

25 

io.37677 
3765o 
37623 
37595 
37568 

9.66537 
6657o 
666o3 
66636 
66669 

28 
28 

?9 

3o 
3o 

10.33463 
3343o 
33307 

33364 
3333i 

10.04214 
04220 
04225 
0423  1 

o4237 

5 
5 
5 
5 
5 

9.95786 

9578o 
95775 
95-69 
95763 

bo 

5(5 
57 
58 
59 
60 

8  4o  4o 
4o  32 

4o  24 
4o  1  6 
4o  8 
4o  o 

3  i9  20 
19  28 
i9  36 
i9  44 

I9  52 
20   0 

9.62459 
62486 
625  1  3 
62541 
62568 
62.595 

25 

26 
26 

27 
27 
28 

io.3754i 
375i4 
37487 
37459 
37432 
374o5 

9.66702 
66735 
66768 
66801 
66834 
66867 

3i 
3i 

32 
32 

33 
33 

io.33298 
33265 
33232 
33i99 
33i66 
33  1  33 

10.04243 
o4249 
o4255 
04261 
04267 
04272 

5 
5 
5 
6 
6 
6 

9.9fi-57 
9575i 
95745 
95739 
95733 
95728 

5 
4 
3 

2 

I 
0 

:>1 

M 

Hour  P.M.  Hour  A.M. 

Cosine. 

Diff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Cosecant.  1  Diff. 

Sine. 

114C 


C       G5C 


Seconds  of*  time  .  . 

1s 

2* 

Prop,  parts  of  cols. 

I'i 

3 
4 

7 
8 

y 

4s 

5' 

0* 

7- 

10 

i4 

17 

21 

24 

i3 

'7 

21 

25 

,9  1 

f 
Pa 

.S''. 

M 

o 

i 

2 

3 

4 

-e  2lOn 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
A        A      B        B      C 

fji'. 
C  154° 

lour  A.  M.I  I  lour  P.M. 

Sine. 

Diff.  Cosecant. 

1'ai 

igent. 

Diff. 

Sotangfcnt 

Secant.  Diff.| 

Cosine. 

M 

60 

59 
58 

57 
56 

S  4o  o 
39  52 
39  44 
39  36 
39  28 

3  20   0 
20  '8 
20  1  6 
20  24 
20  32 

9.62595 
62622 
62649 
626/6 
62703 

o 
o 
i 
i 

2 

io.374o5 
37378 
3735i 
37324 
37297 

9.66867 
66900 
66933 
66966 
66999 

o 

i 
i 

2 
2 

io.33i3? 

33ioo 
33o67 
33o34 
33ooi 

0.04272 
042-8 
04284 
04290 
04296 

o 
o 

0 

•}.  957  2(0 
95722 
95716 
90710 

95704 

6 

7 
8 

9 

8  39  20 

39  12 

39  4 
38  56 
38  48 

3  20  4o 

20  48 
20  56 

21   4 
21  12 

'62757 

62784 
62811 
62.838 

a 

3 
3 
4 
4 

4 
5 
5 
6 
6 

0.37270 
37243 
372i6 
37i89 
37162 

9- 

67032 
67065 
67098 

67  1  63 

3 

3 
4 
4 
5 

10.32968 
32935 
32902 
32869 
3a837 

O.O43O2 

o43o8 
o43i4 
o432o 
04326 

I 

9.95698 
96602 

95686 
9568o 

55 
54 
53 

52 

5i 

5o 

47 
46 

10 

ii 

12 

i3 

8  38  4o 
38  32 
38  24 
38  16 

38  8 

3  21  20 

21  28 

21  36 
21  44 

21  52 

9.62865 
62892 
62918 
62945 
62972 

io.37i35 
37108 
37082 
37055 

37028 

9  .  67  i  96 
67229 
67262. 
67295 
67327 

5 
6 

7 
7 
8 

0.32804 
32771 
32738 
32705 
32673 

10.04332 
o4337 
o4343 
04349 
o4355 

9.95668 
95663 

9565  i 
95645 

i5 
16 
17 
18 

'9 

8  38  o 
37  52 
37  44 
37  36 
37  28 

3  22   0 
22   8 
22  1  6 
22  24 
22  32 

9.62999 
63o26 
63o52 
63079 
63  1  06 

7 

8 
8 
8 

9 

10 
10 

1  1 

10.37001 
36974 
36948 
3692  1 
36894 

9- 

6736o 
67393 
67426 
674  58 
6749' 

67556 
67589 
67622 
67654 

8 
9 
9 

10 
10 

32607 
32574 
32542 
32309 

io.o436i 
o4367 
o4373 

o4385 

2 
2 
2 

95627 
95621 

956i5 

45 
44 
43 

42 

4i 

20 

21 
22 

23 

24 

8  37  20 

37  12 

37  4 
36  56 
36  48 

3  22  4o 

22  48 

22  50 

23  4 

23  12 

o.63i33 
'  63i59 
63  186 
632  1  3 
63239 

10.36867 
3684i 
368  1  4 
36787 
3676i 

II 

I  [ 

12 

1  2 
F3 

10.32476 

32.444 
324  1  1 
32378 

32346 

10.04391 
04397 
o44o3 
04409 
o44i5 

2 

2 
2 
2 

2 

9.93609 
956o3 

95597 

95585 

4o 
39 
38 

37 
36 

25 

26 

27 

28 
29 

8  36  4o 
36  32 
36  24 
36  16 
36  8 

3  23  20 

23  28 

23  36 
^3  44 
2.3  5  a 

9.63266 

63292 

633  19 
63345 
63372 

9".  63398 
63425 
6345i 
63478 
635o4 

1  1 
1  1 

I  2 
12 

i3 

10.36734 
367o8 
3668  1 
36655 
36628 

9 

67687 
67719 

67785 
67817 

i4 
i5 
i5 
16 

10.32.3.3 
32281 

32248 

322l5 

32i83 

10.04421 
04427 
o4433 
o4439 
o4445 

3 
3 
3 
3 
3 

3 
3 
3 
3 

9-95579 
95573 
95567 
9556i 
95555 

35 

34 
33 

32 

3i 

3o 

3i 

32 

33 
34 

3d 
37 
38 

39 
i< 
4i 

42 

43 
44 

8  3t>  o 
35  52 
35  44 
35  36 
35  28 

3  2.4  o 
24  8 
24  j6 
24  24 
24  3;. 

i3 

i4 

.5 
i5 

io.366o2 
36575 
36549 
36522 
36496 

9.67850 
67882 
67915 
67947 
67980 

16 

17 

18 

18 

io.32i5o 
32118 
32o85 
3ao53 

32O2O 

io.o445i 
o4457 
o4463 
04469 
o4475 

9.95549 
95543 
95537 
9553i 
95525 

3o 
29 
28 

27 
26 

8  35  20 
35  12 
35  4 
34  56 
34  48 

3  24  4o 
24  48 
24  56 
25  4 

25  1  2 

9.  6353i 
63557 
63583 
636io 
63636 

i5 
16 
16 

17 

10.36469 
36443 
364  1  7 
3639o 
36364 

9 

68012 
68o44 
68077 
68109 
68142 

20 

20 

2.1 
21 

i  o  .  3  i  988 
3.956 
31923 
31891 
3i858 

10.04481 
04487 
04493 

o45o6 

4 
4 
4 
4 
4 

9.95519 

95507 
95494 

25 

24 

2.2 
21 

8  34  4o 
34  32 
34  24 
34  16 
34  8 

3  25  20 
25  28 

25  36 
25  44 

25  52 

9.63662 
63689 
637i5 
6374  1 
63767 

18 
18 
'9 
'9 

io.36338 
363  1  1 

36285 

36233 

9 

68174 
68206 
68239 
68271 
683o3 

22 
22 
23 
23 

24 

10.31826 
31794 
31761 
31729 
31697 

10.  045  12 
045  !  8 
04524 

o453c 
o4536 

4 
4 
4 
4 
4 

9.95488 
95482 
95476 
95470 
95464 

20 

1  5 

1  2 
[  I 

45 
46 
47 
48 
49 

8  34  o 
33  52 
33  44 
33  36 
33  28 

3  26  o 

26  8 
26  16 
26  24 

26  32 

9.63794 
63820 
63846 
63872 
63898 

20 
20 
21 
21 
22 
2.2 
23 
23 
23 
24 

10.36206 
36  1  80 
36i54 
36i28 
36  1  02 

9 

68336 
68368 
684oo 
68432 
68465 

24 

25 
25 

26 

27 

i  o  .  3  i  66^ 
3i632 
3  1  600 
3  1  568 
3  1  535 

io.o4542 
o454o 
o4554 
o4'56o 
o4566 

b 
5 
5 
5 
5 

9.95458 

95446 

9544o 
95434 

5o 
5i 
5  a 
53 
54 

8  33  20 
33  12 
33  4 

32  56 
32  48 

3  26  4o 

26  48 
26  56 
27  4 

27  12 

9.6392^ 

63976 
64002 
64028 

10.36076 
36o5o 
36024 
35998 
35972 

9 

.68497 
68529 
6856  1 
68593 
68626 

27 
28 
28 
29 
29 

io.3i5o3 

3i47' 
3  1  439 
3  1  407 
3i374 

04579 
o4585 
04591 
04597 

5 
5 
5 
5 

9.95427 

95421 
95{.5 
95409 

IO 

9 
8 

6 

t 

i 

0 

M 

55 
5b 
57 
58 

60 
M 

£  32  4o 

32  32 

32  24 

32  16 
32  8 

32   0 

3  27  20 
27  28 
27  36 

27  44 

27  52 

28  o 

9.64o54 
64o8o 
64  1  06 
64  1  32 
64  1  58 
64  1  84 

24 
25 
25 

26 
26 
26 

10.35946 
35920 
35894 
35868 
35842 
358i6 

9.68658 
68690 
68722 
68754 
68786 
68818 

3o 
3o 
3i 
3i 

32 

33 

io.3t342 
3i3io 
3i278 
3  1  246 
3i2i4 
31182 

Tangent. 

io.o46o. 
04609 
04616 
04622 
04628 
o4634 
Cosecant. 

b 
6 
6 
6 
6 
6 

ttifi 

9.95397 

o5384 
95378 
95372 
95366 

Sine. 

flour  P.M 

HOUTA.M 

Cosine. 

Diff.  Secant. 

Cotangent 

Diff 

its3 

A        A 

B         B      C 

C   64° 

Seconds  of  time  

1* 

& 

3s 

4'   5> 

l>9 

7' 

~2T 

28 

5 

(A 
Prop,  parts  of  cols.  <  B 

J  r< 

3 
4 

7 
8 

10 

12 

i3   17 
16   20 

20 

TABLE  XXVII.                I"*65"1 

Log.  Sines,  Tangents,  and  Secants               G'- 
26°               A        A      B        B      C        C  153° 

31 

Hour  A.M. 

Hour  P.M. 

Sine. 

Diff. 

Cosecant. 

Tangent. 

Diff. 

Cotangent 

Secant. 

Diff. 
o 

0  i 

0 

o 

0 

Cosine. 
y.  96  366 
9536o 
95354 
95348 
95341 

M 

0 

i 

2 

3 
4 
') 
6 

8 
9 

8  32  o 
3i  52 
3i  44 
3i  36 
3i  28 

3  28  o 
28  8 
28  16 
28  24 

28  32 

9.64l84 
64210 
64236 
64262 
64-^.88 

o 
o 
I 
I 

2 

io.358i6 
35790 
35764 
35738 
357i2 

9.68818 
6885o 
68882 
68914 
68946 

0 

i 
i 

2 
2 

10.  3i  182 
3  1  i5o 
3iit8 

3  1  086 
3io54 

io.o4634 
o464o 
o4646 
04662 
04669 

60 
69 
58 

67 
56 

8  3i  20 

3l  12 

3i  4 
3o  56 
3o  48 

3  28  4o 
28  48 
28  56 
29  4 

29  12 

9.64313 
64339 
64365 
64391 
644i7 

2 

3 
3 
3 

4 

io.35687 
3566  1 
35635 
356o9 
35583 

9.68978 
69010 
69042 
69074 
69106 

3 
3 

4 
4 
5 

IO.3lO22 
30990 

3o958 
30926 
30894 

10.04666 
04671 
04677 
o4683 
04690 

).  95335 
95329 
953a3 

953.7 
953io 

55 
54 
53 

52 

5. 

10 

1  1 

I  2 

.3 

i4 

8  3o  4o 
3o  32 
3o  24 
3o  16 
3o  8 

3  29  20 

29  28 

29  36 
29  44 
29  5a 

9-64442 
64468 
64494 
645  .9 
64545 

4 
5 
5 
5 
6 

10.35558 

35532 
355o6 
3548i 
35455 

9.69138 
69170 
69202 
69234 
69266 

5 
6 
6 

7 
7 

10.30862 
3o83o 
30798 
3o766 
3o734 

10.04696 
04702 
04708 
o47i4 
04721 

9.96304 
96298 
96292 
96286 
96279 

5o 

49 
48 

47 

46 

i5 
16 

1-7 

18 

19 

8  3o  o 
29  52 
29  44 
29  36 
29  28 

3  3o  o 
3o  8 
3o  16 
3o  24 
3o  32 

9.64571 
64596 
64622 
64647 
64673 

6 

8 
8 

10.35429 
354o4 

35378 
35353 

35327 

9.69298 
69329 
69361 
69393 
69425 

8 
8 
9 
9 

10 

1  1 
1  1 

12 
12 

1  3 

10.30702 
30671 
3o63g 

3o6o7 
3o575 

10.04727 
o4733 
04739 
o4746 
04762 

2 
2 
2 
2 
2 
2 
2 
2 
2 

3 

9.96273 
96267 
9626. 
96264 
96^48 

45 
44 
43 
42 
4( 

20 
21 
22 
23 

24 

8  29  20 

29  12 

29  4 
28  56 
28  48 

3  3o  4o 
3o  48 
3o  56 
3i  4 

3f  12 

9.64698 
64724 
64749 
64775 
64800 

8 
9 
9 

10 
10 

io.353o^ 
35276 
3525i 
35225 
352oo 

9.69457 
69488 
69520 
69552 
69584 

io.3o543 
3o5i2 
3o48o 
3o448 
3o4i6 

10.04768 
04764 
04771 

o4777 
04783 

9.96242 
95336 
96-9 

96  22  3 

9621  •; 

4o 

ll 

37 
36 

25 

26 

27 
28 
29 

8  28  4o 

28  32 

28  24 
28  16 
28  8 

3  3t  20 
3i  28 
3i  36 
3i  44 
3i  52 

9.64826 
6485. 

64877 
64902 
64927 

i  1 
ii 
1  1 

12 
12 

10.  35174 

35.49 
35i23 

35o98 
35o73 

9.696.5 
69647 
69679 
69710 
69742 

i3 
i4 
i4 
1  5 
i5 

io.3o385 
3o353 
3o32i 
30290 
3o^58 

10.04789 
04796 
04802 
04808 
o48i5 

3 
3 
3 
3 
3 

9.9621; 
9620^ 
95.9^ 
96192 

96.86 

35 
3/1 
33 

32 

3. 

3o 
3i 

32 

33 

34 

8  28  o 
27  52 
27  44 
27  36 
27  28 

3  32  o 
32  8 
32  16 

32  24 
32  32 

9.64953 

64978 
65oo3 
65029 
65o54 

13 

i3 

i4 
i4 

i4 

io.35o47 

35022 

34997 
34971 
34946 

9.69774 
698o5 
69837 
69868 
69900 

16 
16 

17 
17 
18 

18 

i9 

20 
20 

21 

IO.3O226 

3oi95 
3oi63 
3oi32 

3oioo 

10.04821 
04827 
04833 
o484o 
o4846 

3 
3 
3 
3 

4 

9.96179 

95i73 
96167 
96160 
95,54 

3o 

29 

28 
27 
26 

35 
36 

3? 
38 
39 

4o 
4i 

42 
43 
44 

8  27  20 

27  12 

27  4 
26  56 
26  48 

3  32  4o 
32  48 
32  56 
33  4 
33  12 

9.66079 
65io4 
65i3o 
65i55 
65  180 

9.652o5 
6523o 
65255 
6528i 
653o6 

i5 

i5 
16 
16 

16 

10.34921 
34896 
34870 
34845 

34820 

9.  69932 
69963 
69995 
70026 
70o58 

io.3oo68 
3oo37 
3ooo5 
29974 
29942 

10.04862 
04869 
04866 
04871 
04878 

4 

4 
4 
4 
4 

9.96148 
96141 
95i35 
96129 
96122 

25 

2.4 
23 
2.2 
21 

20' 

'9 

18 
17 
16 

8  26  4o 
26  3a 
26  24 
26  16 
26  8 

3  33  20 

33  28 
33  36 
33  44 
33  52 

17 
'7 
18 
18 
'9 

10.34/95 
34770 
34745 

34719 
34694 

9.70089 
7012  1 
70162 
70184 
702  1  5 

9-70247 
70278 
70309 
7o34i 
70372 

21 
22 
22 

23 
23 

~^4~ 
24 
26 
26 
26 

10.2991  i 
29879 
29848 
29816 
29786 

10.04884 
04890 
04897 
04903 
04910 

4 
4 
4 
5 
5 

~T 

5 
5 
5 
5 

9.961  16 
96110 
96103 

96097 
96090 

45 
46 
47 
48 
49 
5o 
5i 

52 

53 
54 

8  26  o 

25  52 

a5  44 

25  36 

25  28 

3  34  o 
34  8 
34  16 
34  24 
34  32 

9.6533i 
65356 
6538  1 
654o6 
6543  1 

19 

19 

20 
20 
21 

10.34669 
34644 
34619 
34594 
34569 

10.29763 
29722 
29691 
29669 

29628 

10.04916 
04922 
04929 
04935 
04941 

9.96084 
96078 
95071 
96066 
96069 

1  5 

14 
i3 

I  2 

1  1 

10 

I 

7 

8  25  20 
25  12 

25  4 
24  56 
24  48 

3  34  4o 
34  48 
34  56 
35  4 
35  12 

9-65456 
6548  1 
655o6 
6553  1 
65556 

21 

22 
22 
22 
23 

io.34544 
345i9 
34494 
34469 
34444 

9.70404 
7c435 
70466 
70498 
70629 

26 

27 
27 
28 
28 

10.29696 
29565 
29534 
29602 

29471 

ic  .04948 
04964 
04961 
04967 
04973 

5 
5 
5 
6 
6 

9.95062 
96046 
96039 
95o33 
96027 

55 

56 
57 
58 

| 

8  24  4o 

24  32 

24  24 

24  16 
24  8 
24  o 

3  35  20 
35  28 
35  36 
35  44 
35  52 
36  o 

9-6558o 
656c»5 
6563o 
65655 
6568o 
66705 

23 
24 
24 
25 
25 
25 

10.34420 
34395 
34370 
34345 
34320 
34?-95 

9.70660 
70692 
70623 
70664 
70686 
70717 

y 
3o 
3o 
3i 
3i 

32 

10.29440 
29408 

29377 
29346 
293i5 
29283 

10.04980 
04986 
04993 
04999 
06006 
06012 

6 

6 
6 
6 
6 
6 

9.96020 
96014 
96007 
9600  1 

94995 
94988 

5 

4 
3 

2 
I 

0 

M 

M 

Hour  P.M. 

Hour  A.M. 

Cosine. 

Diff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Cosecant. 

Diff. 

Sine. 

116° 


tiff 


Seconds  of  time  

!• 

& 

3s 

4s 

5s 

6' 

7' 

(A 

3 

6 

10 

i3 

16 

•9 

22 

Prop,  parts  of  cois   /  B 

4 

8 

12 

16 

20 

•»4 

28 

1  r- 

. 

A 

4 

«; 

ft 

•>7 

mwq 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants               G'- 
A        A       B         B  '     C        C  158 

r 
i 
i. 

23  5: 

23  4^ 
23  3( 

23  2* 
8  23  2C 

23  i: 

23   / 
22  5( 
22  4£ 

336 
36  ' 
36  . 
36  2 
36  3 

9.6570: 

657  2  c 

6575/ 
6577S 

uin 

o 

0 

v/osecan 
i  10.  3429 
3427 
3424 
3422 
34196 

1  aiigent. 
9.7071- 
7074* 
70/7$ 
708  ic 
70841 

Difl 

f   O 

i   i 
>   i 

)   2 

~1 

L 

t 

jCotan,>>-ei 
10.2928 
2926 
2922 
29,9 
2916 

Secant. 
I  0.060  ii 

o5o3i 
o5o3£ 

iDfl 
o 
o 
o 

0 

0 

Cosine 
9.9498 
9498 
9497 
9496 
9496 

31 

Go 
69 
58 

67 
66 

3  36  4 
364 

36  5 
37 
37  i 

9.66828 
65853 
6587fi 
66902 
66927 

10.3417 
34.4 
34i2 
34o9& 
34o73 

9.7087; 
7090 
7093 
7096 
7099 

10.2912 

2906 
29o3^ 
2900; 

10.  06044 
0606  1 
05057 
06064 
06070 

9-94956 
9494 
9494 
94936 

55 
54 
53 

52 

5i 

8  22  4r 
22  32 
22  24 
22  if 
22   fc 

3  37  2 

37  2 
37  3 
37  4 
37  5 

9.65962 

65976 
6600. 
66026 
66060 

6 

io.34o4< 
34024 
33999 
33975 
3395o 

9.7102 
7106 
7109 

71  12 

71.5 

6 
6 

10.2897 
2894 
289. 
2887 
2884 

io.o5o77 
o5o83 
06089 
06096 
06102 

9.9492 
9491 
9491 
94904 
94898 

5o 

49 
48 

47 
46 

16 
.6 

2 

8  22   ( 

21  5; 
21  44 
2.  36 

21  28 

3  38  o 
38  8 
38  if 
38  24 
38  3 

9,60075 
66099 
66.24 
66.48 
66.73 

b 
6 

8 

10.33926 
3390 
33876 
33852 
33827 

9.71.8 
7121 
7124 
7127 
7i3o 

8 
8 
9 
9 

10 
10 

1  1 
ii 

12 
12 

1C 

14 
M 

10.2881 
2878 
2876 
2872 
2869 

o5i  .5 
06.22 
06129 
o5i35 

; 
2 

9.9489 

9488 
94878 
9487 
9486 

45 
44 
43 

42 

4i 

82.  20 
21   .2 
21   4 

20  56 
20  48 

3  38  4c 
38  48 
38  56 

9.66.97 
66221 
66246 
662-70 
6629 

8 

Q 

9 

10 

io.338o3 

33779 
3375/ 
3373c 
337o5 

9.7i33 
7i4o 
7i46 

10.2866 
2863o 
28699 
28669 
28538 

061  48 
o5i55 
06161 
06168 

2 

2 
2 
3 

3 

3 
3 

1  3 
3 
3 

9.94868 
9485 
9484 
94839 
9483 

4o 

39 
38 
37 
36 

a6 

28 
29 

8  20  4o 

20  32 
20  24 
20  1  6 

20   8 

3  .9  % 
39  20 

39  3f 
39  44 
39  52 

3  4o  o 
4o  8 
4o  .6 
4o  24 
4o  32 

9.663.9 
6634 
66368 
6639 
664i6 

10 

ii 
ii 
ii 

12 

io.3368 
33657 
33632 
336o8 
33584 

9-7i49 
71624 
7.55 
71686 
7161 

10.28607 
28476 
2844 
28414 
2838. 

io.o5.74 
06181 
o5i87 
06194 
06201 

948.9 
948.3 
948o6 
94799 

35 
34 
33 

32 

3i 

8 

6 
1 

i 

3o 

8  20   0 

'95 
19  44 
19  3( 
19  28 

9.6644 
66465 
66489 
665.3 
66537 

4 

io.33559 
33535 
335it 
3348- 
33463 

9.7.648 
71679 
7.709 

7177 

i5 

16 
16 

17 
17 

10.2835 

2832 

2829 
28260 
28229 

I0.o5207 

0621 
0622 
0622 

0623 

3 
3 

4 
4 
4 

9.94793 
94786 

94773 
94767 

1C 

to 
'9 

8  19  20 

19  .2 

1  8  5f 
18  48 

3  4o  40 
4o  48 
4o  56 
4i  4 
4i  12 

9.66662 
66586 
666.0 
66634 
66658 

4 

c 

c 

K, 

16 

io.33438 
334.4 
3339o 
33366 
33342 

9.71802 
7i833 
7i863 
71894 
7i925 

18 
'9 

'9 

20 
20 

10.28195 
28167 
28  13- 
28ic€ 

28076 

06253 
06260 
06266 

4 

4 
4 
4 
4 

9.94760 
94753 

94740 
94734 

4i 

44 
45 

7 

48 
9 

5  1 

55 
3  i 
55 

-7 

58 
9 
o 
I 

8  18  4o 

18  32 

18  2-4 
1  8  i6 
18  8 

3  4.  20 

4.  28 
4.  36 
4.  44 
4i  62 

9.66682 
66706 

6673. 
66755 
66779 

16 

17 
17 
17 
18 

0.333.8 
33294 
33369 
33245 

33221 

9.71966 
7.986 
72017 
72048 
72078 

21 
21 
22 
22 
23 

o.28o45 
2801^ 

27983 

27922 

io.o5273 
06280 
06286 
06293 
o53oo 

4 
4 

5 
5 

9.94727 
94720 
947  '4 
94707 
94700 

8  18  o 
17  62 

17  44 
17  36 
17  28 

3  42  o 
42  8 
42  .6 

42  24 
42  32 

9.66800 

668  2  7 
6685. 
66875 
66899 

18 
19 
19 
19 

20 

°'33l?3 
33.49 
33.25 
33io. 

9.72109 

72140 
72170 
72201 

7223l 

23 

24 

24 

25 

26 

0.2789I 

27860 

2783o 

27799 
27769 

io.o53o6 
o53i3 
o532o 
o532.6 
o5333 

5 
5 
5 
5 
5 

9.94694 

9468o 
94674 
94667 

8  17  20 

17  12 

16  56 
16  48 

3  42  4o 
42  48 
42  56 
43  4 
43  12 

.66922 
66946 
6697o 
66994 
67o.8 

20 
21 
21 
21 
22 

0.33078 
33o54 
33<>3o 
33oo6 
32982 

9.72202 
72293 
72323 

72354 

72384 

26 
26 

27 
27 
28 

o.27738 

2770-7 
27677 
27646 
27616 

o.o534o 
o5346 
o5353 
o536o 
o5366 

6 
6 
6 
6 
6 

9.94660 
9*654 
94647 

94634 

o 

7 

?.  16  4o 
1  6  32 
1  6  24 
r6  .6 
16  8 
16  o 

3  43  20 
43  28 
43  36 
43  44 
43  62 
44  o 

.6-7042 
67066 

6-7090 

6?!37 
67161 

22 
23 
23 
23 
24 
24 
>iff. 

0.32958 
32934 
32910 
32887 
32863 
32839 

9.724.5 
72445 
72476 
72606 
72537 
72667 

28 
29 

3o 
3  1 

o.  27686 
27555 
27624 
27494 
27463 
27433 

o.o5373 
o538o 
o5386 
o5393 

06407 

6 
6 
6 
6 

6 

7 

^.94627 
94620 
9.46.4 
94607 
94600 
94693 

5 
4 

2 
O 

our  P.M. 

lour  A.M. 

Cosine.  1 

Secant. 

otangeut 

Diff. 

'angent. 

Cosecant. 

>iff. 

Sine. 

I 

U7° 

A        A      B        B      C        C   GSP 

Seconds  of  time  

|» 

2' 

6 

8 

2 

3s 

4« 

F2 
.5 

3 

5* 

6' 

I 

53 

_71 

21 
? 

6 

(A 
Prop,  parts  of  cols.  <    |j 

(  C 

3 

4 

i 

9 

.2 
2 

16 

'9 
4 

TABLE  XXVII.                [Pise  aw 

Log.  Sines,  Tangents,  and  Secants. 
:>$>               A        A      B         JB      C        C  151° 

M 

Hour  A.M.;  Hour  I>.M. 

Sine.  .Diff. 

Cosecant. 

Tangent. 

Diff. 

Cotang-eiU 

Secant.  |Dff.  Cosine. 

M 

c 

i 

2 

3 

4 

8  16  o 
i5  52 
1  5  44 
i5  36 
:5  28 

3  44  o 
44  8 
44  1  6 
44  24 
44  32 

9.67161   o 
67185  o 

67208  I 

67232   I 
67256  2 

ID.  3  2.839 

32.8.5 
32792 
32768 
3  2  744 

9.72567 
72598 
72628 
72659 

72689 

0 

i 

I 

2 

IO  .27433 

27402 

27372 

27341 

273.  [ 

io.o54o7  o 
o54i3  o 
05420  o 

C)5427   0 

o5433|  o 

9.94593 
945B7 

9458o 
94573 
94567 

60 

ll 

5  7 
56 

5 
6 

7 

8 

9 

10 

i  i 

I  2 

•3 

i  i 

8  i5  20 

[5  12 

i5  4 
1  4  56 
i4  48 

3  44  4o 
44  48 
44  56 
45  4 
45  i2 

9.67280 
673o3 
67327 
67350 
67374 

2 
2 

3 
3 
3 

10.32720 
32697 
32673 
32.65o 
32626 

9.7272.0 
72750 
72780 
728  1  i 
72841 

3 
3 

4 
4 
5 

10.27280 

27250 

27220 

27189 
2.7  1  59 

[O.o544° 
6544? 

o5454 
c>546o 

05467 

9.94560 
94553 
94546 
9454o 
94533 

55 
54 
53 

5  3 

5i 

5o 

49 

48 

47 
46 

8  14  4o 
i4  32 
i4  M 
14  16 
14  8 

3  45  20 
45  28 
45  36 
45  44 
45  52 

9.67398 
674?  i 
67445 
67468 
6-492 

4 
4 
5 
5 
5 
~6 
6 
7 
7 
7 
8 
8 
9 
9 
9 

10.32602 
32579 
32555 
32532 
325o8 

9.72872 
72902 
72932 
72963 
72993 

5 
6 
6 

7 

7 

1^.27128 
27038 

27068 

27037 

27007 

10.0.5474 

o548. 

05487 

o5494 
o55o. 

9.94526 
945i9 
945.3 
945o6 
94499 

ir> 
f6 

17 

f8 

'9 

8  14  o 
i3  52 
i3  44 
i3  36 
i3  28 

3  46  o 
46  8 
46  16 
46  24 
46  32 

9.67515 
67539 

67562 
67586 

67609 

10.32485 
32461 
32438 
324.4 
3239i 

9.73023 
73o54 
73o84 
73n4 
73i44 

8 
8 
9 
9 

IO 

10.26977 
26946 
26916 

26886 
26856 

io.o55o8 
o55.5 
o552i 
o5528 
o5535 

2 
2 
2 
2 
2 

9.94492 

94485 

9.4479 
94472 
94465 

45 
44 
43 
42 
4i 
4o 
39 
38 
37 
36 

20 

2  I 
2  2 
2.3 

M 

8  i3  20 

l3  12 

i3  4 
12  56 
12  48 

3  46  4o 

46  48 
46  56 
47  4 
4?  12 

9.67633 
67656 
67680 
67703 
67726 

10.32.367 
32344 

3232.O 

32297 

32274 

9.73i75 
732o5 
73235 
73265 
73295 

10 

1  1 
1  1 

12 
12 

10.2682.5 
26795 
2.6765 
26735 
26705 

[o.  65542 

o5549 
o5555 
o5562 
o5569 

2 
2 
3 

3 
3 

9-94458 
944  5  1 
94445 
94438 
9443  1 

25 
26 

.'7 

a  8 

'9 
3o 
3i 

32 

33 
34 

8  12  4o 

12  32 
12  24 
12  l6 
12   8 

3  4?  20 
47  28 
47  36 
4y  44 
47  52 

9.67750 
67773 
67796 
6-7820 
67843 

10 
10 
10 

1  1 
1  1 

I0.322.5o 

32227 

32204 

32.180 

32i57 
io.32i3'4 

321  10 

32087 

3ao64 

32041 

9.73326 
73356 
73386 
734.6 
73446 

l3 

i3 
i4 
i4 
.5 

10.  26674 

26644 
26614 

26584 
26554 

10.05576  3 

o5583|  3 
05590  3 
o55o6i  3 
o56o3|  3 

9.94424 
94417 
944io 
944o4 
94397 

35 

34 
33 

32 

3. 

8  12   0 

II  52 

ii  44 
n  36 
ii  28 

8  II  20 
II  12 

ii  4 
10  56 
10  48 

3  48  o 
48  8 
48  16 
48  24 
48  32 

9.67866 
67890 
67913 
67936 
67959 

12 

12 
12 
13 

i3 

9.73476 

735o7 
73537 
73567 
73597 

i5 
[6 
16 

17 
'7 

10.26524 
26493 
26463 
26433 
a64o3 

io.o56.o 
o56  1  7 
o5624 
o563i 
o5638 

3 

4 
4 
4 

9.94390 
94383 
94376 
94369 
94362 

3o 
29 
28 

27 
26 

35 

36 
37 
38 

39 

4o 
4i 

4  •;. 
43 

44 

3  48  4o 
48  48 
48  56 
49  4 

49  12 

9.67982 
68006 
68029 
68o5a 

68o75 

i4 
i4 
i4 
i5 
i5 

10.  320  l8 

3  1  994 
3i97i 

3i948 
3.925 

9.7362-7 
73657 
73687 

73717 
73747 

18 
1  8 
«9 

IO 

20 

10.  263  7  3 
26343 
263.3 
26283 
26253 

.  o.'.  >5645 
9565? 
o5658 
o5665 

05672 

4 
4 
4 
4 

4 

9.94355 

94349 
94342 
94335 

94328 

25 

24 

2.3 
22 

2  1 

8  10  4o 

IO  32 
10  24 

10  16 
10  8 

3  49  20 

49  28 

49  36 
49  44 
49  52 

9.68098 
68121 
68i44 
68167 
68190 

16 

16 

16 

17 
17 

i  o  .  3  1  9(  >  2. 
31879 
3i856 
3.833 
.  3(8.0 

9.73777 
738o7 
73837 
73867 
73897 

20 
21 
21 
22 

22 

10.26223 
26193 
26163 
261  33 
26.o3 

IO;p5679 

o5686 
05693 

o57oo 
05707 

5 
5 
5 
5 
5 

9.9432. 
943  1  4 
943c>7 
94  3  oo 
942.93 

2O 

1  6 

45 
46 

il 

4o 

49 
5b 
5  1 

rr>. 

53 

54 

8  to  o 
9  52 
9  44 
9  36 
9  28 

3  5o  o 
5o  8 
5o  16 
5o  24 
5o  32 

9.68213 
68237 
68260 
68283 
683o5 

17 
18 
18 
'9 
[9 

10.31787 
3  1  763 
3i74o 
3.717 
3  .  695 

9-73927 

73957 
73987 

740.7 
74^47 

23 
2.3 

24 
24 

25 

.0.260-3 
26o43 
2.601  3 
25983 
25953 

10.05714 
05721 
05727 
o5734 
05741 

5 
5 
5 
5 
6 

9.94286 
942-79 
9*1273 
94266 
94259 

i5 

i4 
.3 

1  1 

10 

9 

8 

6 

8  9  20 

9  I2 

9  4 
8  56 
8  48 

3  5o  4o 
5o  48 
5o  56 
5i  4 

5l  12 

9.68328 
6835i 
68374 
68397 
68420 

'9 

20 
2.O 
21 
21 

10.31672 
3  1649 
3.626 
3.6o3 
3i58o 

9.74077 
74107 
74i37 
7^(66 
74i96 

25 

26 
26 

27 
27 

10.25923 
25893 
25863 
5.5834 
2.58o4 

10.05748 
o5755 
05762 

05769 
05776 

6 

6 
6 
6 
6 

9.94252 
94245 
94238 
94a3i 
94224 

55 
56 
$7 

r»8 

59 

Go 

8  8  4o 
8  32 
8  24 
8  16 
8  8 
8  o 

3  5i  20 
5i  28 
5i  36 
5  1  44 
5i  52 

52   0 

9-68443  2t 
68466  22. 
68489  22 

685  I  2;  22 

68534'  2,3 
68557  23 

ic.  3  1  557 
3  1  534 
3.5u 
3.488 
3  1  466 
3i443 

9.74226  28 
74  a  56  2.8 
74286  29 
743.6'  29 
74345  3o 
74375|  3o 

10.  25774 
25744 
257i4 
25684 
25655 
25625 

io.o5783|  6 
c5-90j  6 
057971  7 
o58o4!  7 
o58ii|  7 
o58.8j  7 

9.94217 
94210 
94ao3 
94196 
94189 
94182 

5 
4 
3 

2 

I 
0 

M 

He  isr  P.M. 

t  lour  A.M. 

Cosmo.  JDifl'.1  Secant. 

Cotangent.  Diff. 

Tangent. 

Cosecant.  |D  ff. 

Sine. 

M 

118° 


A                    A 

B 

B 

C 

1s 

9s 

3' 

4s 

5" 

f)s 

7" 

(A 
Prop,  parts  of  cols.  <    B 
(  C 

3 

4 

6 
8 

2 

9 
1  1 
3 

1  2 

i5 
3 

i5 

'9 
4 

17 

23 

5 

20 
26 
6 

61C 


Page  2i4] 

S'. 

29° 
M  Hour  A.  M 

.  Hour  p.  M 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 

Sine.  DiffCosecan   Tangent  DiffJCotan-e, 

Secant 

C 
C  15 

o  8  8  < 
i    7  5 
2    7  4/ 
3    7  3( 

4    7  2* 

J  3  52 

I     52 
\     52  I 
)     52  2 

i   52  3 

9-6855 

6858 
6860 
6862 
6864 

o 
o 

io.3i44 
3i35 

9-7437f 
744of 
7443? 
7446C 
7449^ 

o 

0 

i 

2 

10.2562 

2559 
2556 
2553 
255o 

'o582.! 
o583: 
o583s 

5  o 
)  o 
o 
>  o 
>  o 

9.94182 
94i75 
94168 
94161 

5  8  7  2c 
6    71: 
7    7   z 
8    6  5t 
9    6  4£ 

)  3  52  4 
52  4 
i   52  5 
>   53 
53  i 

9.6867 
6869 
6871 
6873 
6876 

4 
4 

t 

e 

io.3i32 
3i3o 
3i28 
3  1  26 

9-7452/ 
7455^ 
74583 
746  r^ 
74643 

2 

3 
3 

4 
4 

10.2547 
2544 
254  1 
2538 
2535 

10.0585'- 
o586c 
0586- 
05874 
o588i 
io.o5888 
05895 
o5oo2 
o59ic 
o59i7 

-! 
•  T 

9.94i47 
94  M 
94i33 
9.4126 
o4i  10 

o  8  6  4c 
i    6  3p 

2      6  2 

3    6  i 
4    6 

3  53  2 
53  2 
53  3 
53  4 
53  5 

9.6878 
6880 
68829 
6885 
68875 

I0.312J 

3  1  19; 
3i  17 
3u4 

3lI2 

74702 
74732 
74762 
7479  ' 

5 
5 
6 
6 

7 

8 
8 
9 
9 

2529 
1    2526 
2523 
2520 

2 

9.9411  a 
94  10' 
94098 

94o9o 

586 
6    55 
7    5  4 
8    53 
9    5  2 

3  54 
54 
54  i 
54  2 
54  3 

9.68897 
68920 
68942 
68965 
68987 

6 
6 

6 

7 
7 

10.  3i  10 
3  1  080 
3io58 
3io3 

9.74821 
7485, 
7488o 
74910 
74939 

10.25(7 
25l2( 

25o9o 
25o6 

io.o5924 
o593[ 
o5938 
o5945 
o595 

2 

2 
2 
2 
2 

94069 

94062 
94o55 
94048' 

9-94o4i 
9^o3^ 
94027 
94020 
94012 

o  8  5  2 
i    5  i 
2    5  4 
3    4  56 
4    4  48 

3  54  4o 
54  48 
54  56 
55  4 
55  12 

9.69010 
69o32 
69o55 
69077 
69100 

8 
8 
9 
9 

10.30990 
3o968 
3o945 
3o92; 
3o9oo 

9.74969 
74998 
75028 
75o58 
75o87 

10 
10 

1  1 
1  1 

12 

io.25o3 
a5oo 

24972 

2494' 
249i3 

io.o595 
o596 
o597 
o598 
o598 

2 
3 

3 
3 
3 

5  8  4  4o 
6    43 
7   4  24 
8    4  16 
9    48 

3  55  20 
55  28 
55  36 
55  44 
55  52 

9.69122 
69144 
69167 
69189 
69212 

9 

10 
10 
10 

II 
II 

12 
12 
12 
13 

i3 
i3 

i4 
i4 
i5 

io.3o878 
3o856 
3o833 
3o8u 
3o788 

'75i46 
75i76 
752o5 
75235 

1  2 

i3 
i3 

i4 
14 

10.2488 
24854 
24824 
24795 
24765 

io.o599 
0600 
0600 
0601 
0602 

3 
3 

3 
3 
3 

9.  9400  5 

9399[ 
93984 
93977 

o  8  4  o 
,    3  52 
2    3  44 
3    3  36 
4    3  28 

3  56  o 
56  8 
56  16 
56  24 
56  3  a 

9.69234 
69256 
69279 
69301 
69323 

io.3o766 
3o744 
3072  1 
3o699 

3o677 

9.75264 
73*94 
75323 
75353 
75382 

i5 
i5 
16 

16 

17 

10.24736 
24706 
24677 
24647 
24618 

io.o6o3 
o6o3 
0604 
o6o5 
o6o5 

4 
4 
4 
4 
4 

9.9397o 
93963 

93948 
9394  > 

! 

3 

4 
4 
4 
4 
4 

5  8  3  20 

1      3  12 

7    3  4 
3    2  56 
?    2  48 

3  56  40 
56  48 
56  56 

.69345 
69368 
6939o 
69.412 
69434 

o.3o655 
3o632 
3o6io 
3o588 
3o566 

7544 
754/o 
755oo 
75529 

17 
18 
18 
19 
'9 

10.24589 
24559 
2453< 
245oo 
24471 

10.06066 
0607 
0608 
06088 
o6o95 

4 
4 
4 
5 
5 

9.93934 
93927 
93920 
93912 

3   8  2  40 
[      2  32 
2      2  2Z 
3      2   l6 
^      2   8 

3  57  20 
57  28 
57  36 
57  44 

57  52 

.69456 

69479 
69501 
69523 
69545 

i5 
1  5 
16 
16 
16 

o.3o544 
3o52i 

3o499 
3o477 
3o455 

9.  75558 
75588 
756i7 
75647 
75676 

20 

20 
21 
21 
22 

10.24442 

244  I  2 

24383 
24353 
24324 

10.06102 
06109 
06116 
06124 
ooi3r 

5 
5 
5 
5 
5 

9.98898 
9389i 
93884 
93876 
93869 

xr  XT  xr  xr  xr  :  m  m  m  »r>  m 

)   8  2   0 
)         52 

7     44 
5      36 
>      28 

3  58  o 
58  8 
58  16 
58  24 
58  32 

.69567 
69589 
69611 
6o633 
69655 

17 
17 
'7 
18 
18 

io.3o433 
3o4u 
3o389 
3o367 
3o345 

9-757o5 
75735 
75/64 
75793 

75822 

22 
23 
23 
24 
24 

10.24295 
24265 
24236 
24207 
24178 

o.o6i38 
o6i45 
06  1  53 
06160 
06167 

5 
5 
6 
6 
6 

*93855 
93847 
9384o 
93833 

)   8     20 
12 

4 
o  56 
o  48 

3  58  40 
58  48 
58  56 
59  4 

59  12 

.69677 
69699 
6972i 
69743 
69765 

'9 
•9 
19 

20 
20 
20 
21 
21 
22 
22 
22 

io.3o323 
3o3o  i 
302-79 
3o257 
3o235 

9.  75852 
7588i 

75^69 

25 
25 

26 

26 

27 

10.24148 
24119 
24090 
24061 

0.06174 
06181 
o6i89 
06106 
06203 

6 
6 
6 
6 
6 

,93826 
938,9 
938i  i 
938o4 
93797 

5f 
5( 

5F 
5c, 
60 

M 

8  o  4o 

0  32 

o  24 
o  16 
o  8 

0   0 

3  59  20 
59  28 
59  36 
59  44 
5^5, 
4  o  o 

.69787 
6(7809- 
6983? 
69853 
69875 
69897 

o.3c>2i3 
30191 
3oi69 
3oi47 
3oi25 
3oio3 

9.75998 
76027 
76o56 
76086 
761  1  5 
76i44 

27 
28 
28 
29 
29 
29 

10.24002 
23973 
23944 
239.4 
23885 
23856 

Tangent. 

0.06211 
06218 
06225 
06232 
06240 

7 
7 
7 
7 
7 
7 
W. 

•93789 
93782 
93775 
93768 
93760 
93753 

o  r  P.M. 

our  A.M. 

Dosine. 

)i(T.  Secant. 

otangent 

Jiff 

osecant. 

Sino. 

119° 


C      (jff 


'   Seconds  of  time  

!• 

2s 

3' 

4- 

5* 

6- 

7« 

(A 

3 

6 

8 

TJ 

i4 

17 

20 

Frop.  parts  of  cols.  <  B 

4 

7 

ii 

i5 

18 

22 

36 

(c 

i 

2 

3 

4 

4 

5 

6 

TABLE  XXVII,                [."ageais 

9.               Leg.  Sines,  Tangents,  and  Secants.              G>' 
W°              A        A      B        B      C       C  349° 

M 

Hour  A.M. 

I  lour  P.M. 

Sine. 

Dill 

Cosecant. 

Tangent. 

Diff 

Cotangent 

Secant. 

DilF. 

Cosine. 

M 

>o 

5S 

t>7 

56 
55 

54 
53 
5? 
5i 

o 

2 

3 
4- 
"5 
6 
7 
8 

9 

800 

7  59  52 
59  44 
59  36 
59  28 

4  o  o 
o  8 

o  16 

o  24 

0  32 

9.69897 
69919 
69941 
69963 
69984 

o 
o 

I 
I 
I 

2 
2 
3 

3 
3 

4 
4 
5 
5 

ic.3oio3 
3oo8i 

3oo37 
3ooi6 

9.  76  i  44 
76173 
76202 
76231 
•76261 

o 

0 

I 
I 

2 

10.23856 
23827 
23798 
23-769 
23739 

0.06247 
06264 
06262 
06269 
06276 

Ii 

0 

0 
0 

o 

9.93753 

o3738 
9373, 
o3?24 

7  59  20 
59  12 
59  4 
58  56 
58  48 

4  o  4o 
o  48 
o  56 
4 

12 

9  .  70006 
70028 
70o5o 
70072 
7OO93 

10.29994 
29972 
29950 
29928 
29907 

9^6290 
•76319 
76348 
76377 
76406 

2 

3 
3 
4 
4 

10.23-710 
2368  1 
23652 
23623 
23594 

10.06283 
06291 
06298 
o63o5 
o63i3 

i 

2 
2 

93-709 
93-702 
93695 
93687 

10 

i  i 

I  2 

i3 

i4 

7  58  4o 
58  32 
58  24 
58  16 
58  8 

4     20 

28 

36 

44 

52 

9.7on5 
70137 
70i59 
70  1  80 
70202 

10.29885 
29863 
2984i 
20.820 
29798 

9  .  76435 

76522 
7655i 

5 
5 
6 
6 

7 

10.23565 
23536 
235o7 
23478 
23449 

io.o632o 
o6327 
o6335 
o6342 
o635o 

9.9368o 
93673 
93665 
93658 
9365o 

5o 

49 
48 

47 

46 

i5 
16 
17 
j.8 

'9 

7  58  o 

57  52 

57  44 
57  36 
57  28 

2   8 
2  16 
2  24 
2  32 

9.  70224 
70245 
70267 
70288 
7o3io 

5 
6 
6 
6 

7 

IO.29776 

29755 
29733 

297I2 

2969o 

9.76580 
76609 
76639 
76668 
76697 

8 
8 
9 
9 

10.23420 
2339i 
2336i 
23332 
233o3 

io.o6357 
o6364 
o6372 
o6379 
o6386 

2 
2 
2 
2 
2 

9-93643 
93636 

93628 
9362  1 
936i4 

45 
44 
43 
42 
4i 
4o 

39 

38 

37 
36 

20 
21 

22 
23 

24 

7-  57  20 

57  12 

57  4 
56  56 
56  48 

4  2  4o 
2  48 
2  56 
3  4 

3  12 

9  '70353 
70375 
7o396 
70418 

i 

8 
8 
9 

10.29668 

29647 

29604 
29582 

9.76725 
76754 
76783 
•76812 
7684i 

10 

IO 

II 

1  1 

12 

10.23275 

23246 

232I7 

23  1  88 
23i59 

10.06394 
06401 
06409 
06416 
o6423 

2 
3 

3 
3 
3 

9.93606 
93599 
93591 
93584 

93577 

25 

26 

27 
28 
29 

7  56  4o 
56  32 
56  24 
56  16 
56  8 

4  3  20 
3  28 
3  36 
3  44 
3  52 

9>7o439 
70461 
70482 

9 
9 
10 

10 
10 

II 
II 
II 

12 
12 

10.29561 
29539 
295i8 
29496 

9.  -768-70 
76899 
76928 
76957 
76986 

12 
13 

i3 
i3 

i4 

io.23i3o 

23lOI 
23072 

23o43 
23oi4 

10.  o643  i 
o6438 
o6446 
o6453 
o646i 

J 
3 
3 
3 
4 

9.93569 
93562 
93554 
93547 
93539 

35 
34 
33 
3: 
3i 

CO  Co  CO  Co  Co 

lix  CO  V3  -  O 

7  56  o 
55  52 
55  44 
55  36 
55  28 

4  4  o 

4  8 
4  16 
4  24 
4  32 

9-70547 
7o568 
7o59o 
7061  1 
70633 

io.29453 

29432 
294  I  0 

29389 

29367 

9.77016 
77044 
77073 
77101 

77i3o 

i4 
16 
16 
16 
16 

10.22986 
22956 
2292-7 
22899 
228-70 

10.06468 
o6475 
o6483 
06490 
06498 

4 
4 
4 
4 
4 

9.93532 
93525 
935i7 
935io 
935o2 

3o 
29 
28 

27 
26 

35 
36 
37 
38 
39 

7  55  20 
55  12 
55  4 
54  56 
54  48 

4  4  4o 

4  48 
4  56 
5  4 

5  12 

9.  70654 
70675 
7o697 
70718 
7o739 

i3 
i3 
i3 

i4 

10.29346 
29325 
29303 
29282 
29261 

9.77169 
77i88 

77217 
77246 
77274 

17 
17 
18 
18 

10.22841 
22812 

22783 
22754 

22-726 

io.o65o5 
066  1  3 
06520 
06528 
o6535 

4 
4 
5 
5 
5 

9.93495 

9348o 
93472 
93465 

25 
24 
23 
22 
21 

4o 

4i 

4  a 
43 
44 

7  54  4o 
54  32 
54  24 
54  16 
54  8 

4  5  20 
5  28 
5  36 
5  44 
552 

9.7o76i 
70-782 
70803 
70824 
70846 

i4 
i5 
i5 
i5 
16 

10.29239 
29218 

29176 
29154 

9'77332 
7736i 
77390 
774i8 

'9 

20 
20 
21 
21 

10.2269-7 

22668 

22639 

22610 

22582 

io.o6543 
o655o 
o6558 
o6565 
o6573 

5 
5 
5 
5 
5 

9-93457 
9345o 
93442 
93435 

2O 
I9 

1  8 

17 
16 

45 
46 
47 
48 
49 
5o 
5. 

52 

53 
54 

7  54  o 
53  52 
53  44 
53  36 
53  28 

4  6  o 
6  8 
6  16 
6  24 
6  32 

9.  70867 
70888 
709o9 
7093t 
70952 

ib 
16 

17 
17 
18 

10.29133 

291  12 
2009I 
29069 

29048 

9-77447 
77476 
775o5 
77533 
77562 

22 
22 
23 
23 

24 

10.  22553 
22624 
22495 

2246-7 
22438 

io.o658o 
o6588 
o6595 
o66o3 
06610 

6 
6 
6 
6 
6 

9.93420 
93412 

93397 
9339o 

9.93382 
93375 
93367 
9336o 
9335a 

r 

i4 

i3 

ii 

10 

I 

6 

7  53  20 
53  12 
53  4 
52  56 
52  48 

4  6  4o 
6  48 
6  56 
7  4 
7  12 

9  .  70973 
70994 
71016 
7io36 
7io58 

18 
18 

«9 
'9 

I0.29027 
29006 

28985 
28964 

28942 

9-7759I 
77619 
77648 

77677 
77706 

24 
25 
25 

26 
26 

10.22409 

22381 
22352 
22323 

2229/1 

10.06618 
06625 
o6633 
o664o 
06648 

6 
6 
6 

7 
7 

55 
56 
5  7 
58 
59 
bo 

-  52  4o 

52  32 
52  24 

52  16 
52  8 

52   0 

4   ~  20 

•7  28 

7  36 
7  44 
7  52 
8  o 

9-71079 
71  100 

71  121 
7II42 

7ii63 
71184 

20 
20 
20 
21 
21 
21 

IO.28921 
28900 

28879 
28858 
28837 
28816 

9-77734 
77763 
77791 
77820 
77849 
77877 

26 

27 
27 
28 
!a8 
29 

10.22266 

22237 

22209 
22180 

22l5l 
22123 

io.o6656 
o6663 
06671 
06678 
06686 
o6693 

7 
7 
7 
7 
7 
7 

9  93337 
93329 

93322 

933i4 
933o7 

c 

A 
3 

2 
I 
C 

M 

Hour  p.M.jHour  A.M 

Cosine. 

Biff. 

Secant. 

Cotangent  'Diff.j  Tangent. 

Cosecant.  (Biff. 

Sine. 

AT 

I2(P 


1 

0 

3 

4 

^ 

fi 

7 

(A 

Prop,  parts  of  cols.  <  B 

(c 

3 
4 
i 

5 

7 

8 
1  1 
3 

ii 

i4 
4 

i3 
18 

16 

22 
fi 

25 

7 

l>i'^2L6]                TABLE  XXVII. 

Loo;.  Sines,  Tangents,  and  Secants.               G' 
A        A      B         B      C        C  148' 

M 

[our  A.M. 

lour  P  .M  . 

Sine. 

Diir. 

Hoserniil. 

Tangent. 

Diff. 

Cotangent 

Secant. 

Di.f 

Cosine. 

M 

o 

i 

2 

3 

4 

7  52  o 
5i  52 
5i  44 
5i  36 
5i  28 

4  8  o. 
8  8 
8  16 
8  24 
8  32 

9.71184 
71205 
71226 

71247 
71268 

o 

0 

I 
I 

10.28816 
28795 
28774 
28753 
28732 

9.77877 
779°6 
77935 
77963 
•77992 

o 
o 
I 
1 

2 

10.22123 
22094 
22065 
22037 
22008 

i  o  .  06693 
0670  1 
06709 
067  1  6 

06724 

0 
0 
0 
0 

I 

r  -  os  —  xr  <c 

O  Os  ONOO  t^ 

OO  IN  0!  Oi  Oi 
00  OO  01  OO  00 

Os  Os  ON  Os  O- 

!o\ 

60 

% 

57 
56 

5 
6 

7 
8 

9 

7  5i  20 

5l  12 

5i  4 
5o  56 
5o  48 

4  8  4o 
8  48 
8  56 
9  4 
9  I2 

9.71289 
7i3io 
7133  1 

7l373 

2 
2 
2 
3 

3 

10.2871  i 
28669 

28648 
28627 

9.  -78020 
78049 
78077 
78106 
781  35 

2 
3 

3i 
4 
4 
~T 
5 
6 
6 
7 

I0.2I98() 
2192.3 

2i894 
2  1  865 

10.06731 
o6739 
o6747 
o6754 
06762 

Os  —  oo  <O  CO 

<n  vo  m  xr  oo 

CS  CN  O)  CN  CN 

ON'  ON  ON  ON  O 
1  Os 

55 
54 
53 

52 

5i 
5o 

3 

47 
46 

o  -  CN  oo  XT 

7  5o  4o 
5o  32 
5o  24 
5o  16 
5o  8 

4  9  20 
9  28 
9  36 
9  44 
9  52 

9.7i393 

7i435 
7i456 

7  '477 

3 

4 
4 
4 
5 

5 
6 
6 
7 

10.28607 
28586 
28565 
28544 
28523 

9.78163 
78192 
•78220 
•78249 
•78277 

10.21837 
21808 
21780 
21761 
21723 

10.06770 
o6777 
06786 
o6793 
06800 

2 
2 
2 

9.93230 
93223 

932i5 

93207 

93200 

i5 

16 

17 
18 

'9 

7  5o  o 
49  52 
49  44 
49  36 
49  28 

4  10  o 
10  8 
10  16 
10  24 

10  32 

ON  i-  00  tn  CO 

XT  m  m  in  m 
ON 

IO.28502 

28481 
28461 
28440 
28419 

9.783o6 
78334 
78363 
7839, 
•78419 

1 
8 
8 
9 
9 

10.21694 
21666 
2i637 
21609 
2i58i 

10.06808 
06816 
06823 
o683i 
o6839 

2 

2 
2 

2 

2 

9.93i92 
93i84 
93177 
93i69 
93i6, 

45 
44 
43 
42 
4i 

20 
21 
22 
23 

25 

25 

27 
28 
29 

30 
31 
32 

33 
34 

35 
36 
37 
38 
39 

7  49  20 

49  12 

49  4 

48  56 
48  48 

4  10  4o 
10  48 
10  56 
ii  4 

I  I  12 

9.71602 
71622 
7l643 
71664 
7l685 

7 

8 
8 
8 

10.28398 
28378 

2835- 
28336 
283i5 

9-78448 
78476 
785o5 
78533 
78662 

9 

10 

10 
1  1 
1  1 

IO.2I552 
21524 

21495 
2146-7 
2i438 

10.06846 
o6854 
06862 
06869 
o6877 

3 
3 
3 
3 
3 

? 

so  so  so  sO  so 

CO  CO  CO  CO  1-0 

(o  OJ  coXx  en 
OJ  "  GO  CT>  -IX 

4o 
3o 
38 

37 
36 

7  48  4o 
48  32 
48  24 
48  ,6 
48  8 

4  I  I  20 
11  28 

ii  36 
ii  44 

II  52 

9.71705 
7I726 
71747 
71767 
71788 

9 
9 
9 

10 
10 

10.28295 
28274 
28253 
28233 
28212 

9.78590 
78618 
78647 
78675 
78704 

12 
12 
13 

i3 

i4 

IO.2l4lO 
21382 

2i353 

21325 
2  I  296 

10.06886 
06892 
06900 
06908 
069  1  6 

3 
3 
3 

4 
4 

9.93i,5 
93108 
93100 
93092 

93o84 

35 

34 
33 

32 

3i 

7  48  o 
47  52 
47  44 
47  36 
47  28 

4  12   0 
12   8 
12  l6 
12  24 
12  3. 

9.71809 
71829 

7i85o 
7i87o 
71891 

10 

1  1 
II 
1  1 

12 

-  -  O  O  ON 

ON  r^m  ro  C 

CO  CO  CO  CO  OO 

CN  CN  CS  CN  CN 
0 

9.78732 
78760 
78789 
78817 
78845 

i5 
i5 
16 
16 

IO.2I268 
21240 
2121  I 
2II83 

2ii55 

10.06923 
o693i 
06939 
06947 
o6954 

4 
4 

4 
4 
4 

9.93077 
93069 
93061 
93o53 
93o46 

3o 
29 

27 
26 

7  47  20 
47  12 
47  4 
46  56 
46  48 

4  12  40 
12  48 
12  56 
i3  4 

13  12 

9.71911 
-71932 
71952 
71973 
7  1  99-4 

12 
12 

i3 
i3 
i3 

10.28089 
28068 
28048 
28027 
28006 

9.78874 
78902 
7893o 
78959 
78987 

17 
17 
17 
18 
18 

10.21  126 

21098 
21070 
21041 

2IOl3 

10.06962 
06970 
06978 
06986 
o6993 

5 
5 
5 
5 
5 

9.93o38 
93o3o 
93022 
93oi4 
93007 

26 

2' 

22 
21 

I 

42 

43 

44 
45 
46 
47 
48 
49 

7  46  4o 
46  32 
46  24 
46  16 
46  8 

4  i3  20 
i3  28 
i3  36 
i3  44 
i3  52 

9.72014 
7203^ 
72055 

72075 

•72096 

i4 
i4 

i4 
i5 
i5 

IO.27986 
27966 

27925 
27904 

9.79015 
79043 
79072 
79100 

-79128 

'9 
19 

20 
20 
21 

10.20985 
20957 

20928 
20900 

20872 

10.07001 
07009 
0701-7 
0-7024 

07o32 

5 

5 
5 
6 
6 

9.92999 

9-299, 
92983 
929-6 
92968 

2O 
li 

l6 

12 
I  I 

7  46  o 
45  52 
45  44 
45  36 
45  28 

4  i4  o 
i4  8 
i4  16 
i4  24 
i4  32 

9.72116 

72l37 

72l57 

72177 
•72198 

i5 

16 

16 
16 

17 

I0.27884 

27863 
27843 
27823 
27802 

9.  79i56 
79i85 
792  1  3 
•792.41 
•79269 

21 
22 
22 
23 
23 

10.20844 
208  1  5 

20787 

20759 
2073  1 

10.07040 
0704£ 
07066 
07064 

07071 

6 
6 
6 
6 
6 

9.92960 
92962 
92944 
92936 
92929 

5o 
5i 

3 

|54 

7  45  20 
45  12 
45  4 
44  56 
44  48 

4  1  4  4o 
i4  48 
i4  56 
i5  4 
i5  12 

9.722i8 
72238 

•72259 

-72299 

17 
18 
18 
18 
i9 

10.27782 
27762 

2772I 
277OI 

9.79297 
79326 
79354 
79382 

794  1  o 

24 

24 

25 
25 

26 

10.20703 
20674 
20646 

20618 

20690 

10.07079 
07087 
07096 

07103 
071  1  1 

10.07119 
07126 
07134 
07142 

07!  58 
Cosecant. 

b 

7 
7 
7 

7 

9.9292. 
92913 
92906 
9289-7 
92889 

10 

8 
6 

t 
t 

i 
o 

155 
156 

j! 

|6o 

7  44  4o 
44  32 
44  24 
44  16 
44  8 
44  o 

4  1  5  20 
i5  28 
i5  36 
i5  44 
i5  52 
16  o 

9.7232C 

7234o 

72360 

7238i 
72401 
•72421 

19 

!9 
20 
20 
20 
21 

io.2768o 
27660 
27640 
2-7619 
27599 
27579 

o  .  '7Q-43o 
79466 
79495 
79523 

79579 

26 

26 

27 
27 
28 
28 

10.20662 
2o534 
2o5o5 
20477 
20449 
20421 

7 
7 
7 

8 

8 

9.9288, 

92866 
92868 
92860 
92842 

Hour  P.M. 

Hour  A.  M 

Cosine.  Diff. 

Secant 

Cotangent 

Diff. 

Tangent. 

Diff.[  Sine. 

M 

1*1 

o 

A 

A      B        B      C        C   bf 

Seconds  of  time  

1s 

2s 

3" 

4' 

5s 

fi' 

7- 

(  A 

3 

5 

8 

10 

i3 

if> 

18 

Prf  p.  parts  of  cols  <   B 

4 

7 

ii 

i4 

18 

21 

25 

TABLE  XXVII.               [p£ee217 
Log.  Sines,  Tangents,  and  Secants.               G 
3^               A        A.      B        B      C        C  147° 

II 

0 

i 

2 

3 

4 

HourA.M. 

Hour  P.M. 

Sine.  (Diff 

Cosecant. 

Tangent. 

Diff. 

Cotangent 

Secant. 

Diff,  Cosine. 

M 

7  44  o 
43  52 
43  44 
43  36 
43  28 

4  16  o 
16  8 
16  16 
16  24 
16  32 

9.  72421 
72441 
72461 

72482 

725O2 

0 
0 

I 
I 

10.2-75-79 
27559 
27539 
275i8 
27498 

9.795-9 
79607 
79635 
79663 
79691 

0 

o 

2 

10.20421 
2o393 
20365 
2o337 
2o3o9 

io.07i5£ 
07166 
07174 
07182 
07190 

o 
o 
o 
o 
I 

CN  xr<o  co  Q 
xrro  «•  —  — 

CO  CO  OO  OO  OO 
CS  CN  CN  CN  CN 

OOOOO 
0 

60 
59 

58 
57 
56 

5 
6 

7 

9 

7  43  20 
43  12 
43  4 
42  56 
42  48 

4  16  4o 
16  48 
16  56 
17  4 
17  12 

9.  72522 
72542 

72562 
72582 
72602 

2 
2 
2 

3 
3 

10.27478 
27458 
27438 
27418 
27398 

9.79719 
79747 
79776 

79832 

2 

3 

3 
4 
4 

10.20281 

20253 

20224 
20196 

20168 

i  o  .  07  i  97 
07205 
07213 
07221 
07229 

9.92803 

92795 

92787 

92779 

927-71 

55 
54 
53 

52 

5i 

10 
1  1 

I  2 

i3 

1  4 

7  42  4o 

42  32 

42  24 
42  16 
42  8 

4  17  20 
17  28 
17  36 
17  44 

I7  52 

9.  72622 
72643 
72663 
72683 
72703 

3 
4 
4 
4 
5 

10.27378 

27357 
27337 

2-729-7 

9.79860 
79888 
799.6 
79944 
79972 

5 
5 
6 
6 

7 

10.20140 

201  12 

20084 

2  oo  56 
20028 

10.07237 
o7245 
07253 
07261 
07269 

2 
2 
2 

9.92763 
92755 
92747 

92739 

9273. 

5o 

ft 

47 
46 

i5 
16 

17 
.8 

7  42  o 
4i  52 
4i  44 
4i  36 
4i  28 

4  18  o 
18  8 
18  16 
18  24 
18  32 

9.72723 
72743 
72763 
72783 
72803 

5 
5 
6 
6 
6 

I0.27277 
27257 
27237 
27217 
27197 

9.80000 
80028 
8oo56 
80084 
80112 

7 

8 
8 
9 
9 

10 

10 
11 
ii 

10.20000 

19972 

19944 

19916 
19888 

10.07277 
07285 
07293 
07301 
07309 

10.07317 
o7325 
o7333 
o734  1 
07349 

2 

2 
2 
2 
3 

9.92723 

927  1  5 

92707 

92699 

92691 

45 
44 
43 
42 
4i 

20 
21 
22 

7  4i  20 
4i  12 
4i  4 
4o  56 
4o  48 

4  18  40 
18  48 
18  56 
19  4 

19  12 

9.72823 
72843 
72863 
72883 
72902 

7 
7 

8 
8 

10.27177 
27157 
27137 
27II7 
27098 

9.80140 
80168 
80195 
80223 
8025  1 

10.  19860 

19832 
19805 
19777 
19749 

3 
3 
3 
3 

3 

9.92683 
92675 
92667 
92659 
9265  I 

4o 
39 
38 

37 
36 

35 
34 
33 
3-2 

25 
26 

27 
28 

7  4o  4o 
4o  32 
4o  24 
4o  16 
4o  8 

4  i9  20 
i9  28 
i9  36 
i9  44 

I9  52 

9.72922 
72942 
72962 
72982 
73002 

8 
9 
9 
9 
10 

10.27078 

27058 
27038 
27018 
26998 

9.80279 
8o3o7 
8o335 
8o363 
8o39i 

12 
12 

i3 
i3 
i3 

10.19721 

19693 
19665 
19637 
19609 

10.07357 
o7365 

o738i 
c,7389 

3 
3 
4 
4 
4 

9.92643 
92635 
92627 

92619 

9261  1 

CO  Co  Co  Co  Co 

Jx  co  10  -  o 

7  4o  o 
39  52 
3944 
39  36 
39  28 

4  20   0 
20   8 
20  l6 
20  24 
2O  32 

>o 

co  co  co  co  co 

5  as>&g 

—  —  _  _  10 

10 

10 

II 
II 
II 

10.26978 
26959 
26939 
26919 
26899 

9.8o4i9 
8o447 
8o474 
8o5o2 
8o53o 

i4 
i5 
i5 
16 

10.19581 

19553 
19526 
19498 

19470 

10.07397 
07405 
0741  3 
07421 
07429 

4 
4 
4 
4 
5 

9.92603 

92595 
92587 
92579 
92571 

3o 
29 

28 
27 

2.6 

35 

36 
37 
38 

39 

7  3o  20 

39  12 

39  4 
38  56 
38  48 

4  20  40 
20  48 
20  56 

21   4 
21  12 

9.73121 

73i6o 
73  1  80 
73200 

12 
12 
12 
13 

i3 

10.26879 
26860 
26840 
26820 
26800 

9.8o558 
8o586 
80614 
80642 
80660 

16 

17 
17 
18 
18 

'9 
19 

20 
20 
2O 

10.19442 
19414 
19386 

i9358 
iy33  1 

10.07437 
07445 
07454 
07462 
07470 

5 
5 
5 
5 

9.  92563 
92555 
92546 
92538 

2.5 

24 

23 
22 
21 

C  ~  rs  ro  VT 
xrxrxt  <rxr 

7  38  4o 
38  32 
38  24 
38  16 
38  8 

4  21  20 
21  28 

21  36 
21  44 

21  52 

9.73219 
73239 
•73259 
73278 
•73298 

i3 
i4 

i4 

Is 

10.26781 
26761 
26741 
26722 
26702 

9.80697 
80725 
8o753 
80781 
80808 

10.  19303 

19275 
19247 
19219 
19192 

10.07478 
07486 
07494 
07502 
07510 

5 
6 
6 
6 
6 

9.92522 
92514 
92506 
92498 
92490 

20 

'9 
1  8 

'7 
16 

46 

47 
48 

49 

7  38  o 
37  52 
37  44 
37  36 
37  28 

4  22   0 
22   8 
22  l6 
22  24 
22  32 

9.733.8 
73337 
73357 
73377 
73396 

i5 
i5 
16 
16 
16 

10.26682 
26663 
26643 
26623 
26604 

9.  808  36 
80864 
80892 
80919 
80947 

21 
21 
22 
22 
23 

10.  19164 
I9i36 
19108 
19081 
I9o53 

io.o75i8 
07527 
o7535 
o7543 
o755i 

6 
6 
6 
6 

7 

CN  00  10  t^  O 

oo  r^o  to  XT 
xr  XT  XT  XT  xr 

CN  CN  CS  CM  CN 

OOOOO 

o 

i5 
i4 

i3 

12 
II 

10 

I 

6 

5o 

5i 

52 

53 
54 
55 
56 

58 

59 
So 

7  37  20 

37  12 

37  4 
36  56 
36  48 

4  22  4o 

22  48 

22  56 

23  4 

23  12 

9.734i6 
73435 
73455 
73474 
73494 

17 
17 
17 
18 
18 

18 
'9 
'9 
'9 

20 
20 

10.2.6584 
26565 
26545 
26526 
265o6 

9.80975 
8ioo3 
8io3o 
8io58 
81086 

23 

24 
24 
25 
25 

26 
26 

27 
27 
28 

IO.I9025 

18997 

18970 
18942 
18914 

10.07559 
07567 
o7575 
07584 
07592 

7 
7 
7 
7 
7 

9.92441 

92433 

92425 
92416 
92408 

7  36  4o 
36  32 
36  24 
36  16 
36  8 
36  o 

4  23  20 
23  28 

23  36 
23  44 

23  52 

24  o 

9.735i3 
73533 
73552 
73572 
7359i 
736n 

10.26487 
26467 
26448 
26428 
26409 
26389 

9.8ni3 
8u4i 
8ii69 
81196 
81224 
81252 

10.18887 
18859 

1  883  1 
18804 
18776 
18748 

i  o  .  07600 
07608 
07616 
07624 
o7633 
07641 

7 
8 
8 
8 
8 
8 

9.92400 

92392 

92384 
92376 
92367 
92-J59 

Sine. 

5 
4 

a 

i 
o 

M 

Hour  P.M. 

HourA.M. 

Cosine. 

Diff. 

Secant. 

CotangentjDiff. 

Tangent. 

Cosecant. 

Diff. 

M 

C       57° 


V 

2" 

3' 

4' 

5s 

6" 

7- 

f  A 

2 

5 

7 

10 

12 

i5 

17 

Prop,  parts  of  cols.  \  B 

3 

7 

10 

i< 

17 

21 

24 

(c 

i 

2 

3 

4 

5 

r, 

•7 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants.               G 
A        A      B         B      C        C  140° 

11 

Hour  A.M. 

Hour  P.M. 

Sine. 

9.73611 
7363o 
7365o 
73669 
73689 

Ditf. 

Cosecant. 

Tangent. 

Jiff. 

yOtangent 

Secant. 

Did 

Cosine. 

9W*p 
92351 
92343 
92.335 
92326 

M 

6 

i 

2 

3 

4 

.7  36  o 
35  52 
35  44 
35  36 
35  28 

4  24  o. 

24  8 
24  16 
24  24 
24  32 

o 
o 

I 
I 

10.26389 
2  63  70 
263  5o 
2633. 

263.! 

9.81252 
81279 
8i3o7 
8  1  335 
8.362 

o 

0 

I 
I 

2 

0.18748 
18721 

1  8638 

I  o  .  0764  i 
07649 
07657 
07665 
07674 

0 
0 

o 
o 
I 

60 

59 

58 

57 
56 

5 
6 

8 
9 

7  35  20 
35  12 
35  4 
34  56 
34  48 

4  24  4o 
24  48 
24  56 
25  4 

25  12 

9.73708 

73727 

73747 
73766 
73785 

2 
2 
2 
3 
3 

10.26292 
26273 
26?53 
26234 
26215 

9.81390 
81418 

8i445 
8i473 
8i5oo 

2 

3 
3 

4 
4 

10.18610 
i8582 
i8555 
1  8527 
i85oo 

10.07682 
07690 
07698 
07707 
07715 

9.923.8 
92  3  10 
92302 
92293 
92285 

55 

54 
53 

52 

5. 

10 

1  1 

13 

1  3 
1  4 

7  34  4o 
34  32 
34  24 
34  16 
34  8 

4  25  20 
25  28 

25  36 
25  44 

25  52 

9-738o5 
73824 
73843 
73863 
73882 

3 

3 

4 
4 
4 

10.26195 
26176 
261  57 
26137 
261.8 

9.81528 
81  556 
8.583 
8.611 
8.638 

5 
5 
5 
6 
6 

10.  18472 
18444 
18417 
18389 
1  8362 

10.07723 
07731 
07740 
07748 
o7756 

2 
2 
2 
2 

9.92277 
92269 
92260 
92252 
922.44 

5o 

* 

47 
46 

.5 
16 

17 
18 

'9 

7  34  o 
33  62 
33  44 
33  36 
33  28 

4  26  o 
26  8 
26  16 
26  24 

26  32 

9.73901 
73921 
7394o 
73959 
73978 

i> 
5 
5 
6 
6 

10.26099 
26079 
26060 
26041 
26022 

9.81666 
8i693 
81721 
8  1  748 
81776 

7 
7 
8 
8 
9 
9 

10 
10 

ii 
ii 

io.i8334 
i83o7 
18279 
18252 
18224 

10.07765 
07773 
07781 
07789 
07798 

2 
2 
2 
3 

3 

9.92235 
92227 
922.9 
922.  i 
92202 

45 
44 
43 
4  a 

4>: 

20 
21 
22 

23 
24 

7  33  20 
33  12 
33  4 
32  56 
32  48 

4  26  4o 
26  48 
26  56 
27  4 

27  12 

9.73997 
74017 
74o36 
74o55 
74074 

6 

7 
7 
7 
8 

i  o  .  26oo3 
25983 
25964 
25945 
25926 

9.8i8o3 
8i83i 
8i858 
81886 
819.3 

10.18197 
18169 
18142 
18114 
18087 

10.07806 
07814 
07823 
07831 
07839 

3 
3 
3 
3 
3 

9-92  '94 
92186 
92177 
92169 
92161 

4< 
3<; 
3l« 
3-7 
36 

35 
34 
33 

32 

3. 

25 

26 
27 
28 
29 

7  32  4o 

32  32 
32  24 

32  16 
3a  8 

4  27  20 
27  28 

27  36 
27  44 
27  52 

9.74093 
74"  i3 
74  1  32 

74i5i 
74170 

8 
8 
9 
9 
9 
10 

10 
IO 
10 

II 

10.25907 
25887 
25868 
25849 
2583o 

9.81941 
81968 
8,996 
82023 
82o5i 

ii 

12 
12 
13 

i3 

10.18059 
i8o32 
18004 
17977 
17949 

10.07848 
07856 
07864 
o7873 
07881 

3 

4 
4 
4 
4 
4 
4 
4 
5 
5 

9.92152 
92144 
92  1  36 
92127 
92119 

3o 
3i 

32 

33 
M 
!5 
36 

^7 

38 

'J'9 
I'- 
ll 

43 

43 
44 

7  32  o 
3i  62 
3i  44 
3i  36 
3i  28 

4  28  o 
28  8 
28  16 
28  24 

28  32 

9.74189 

74208 
74227 
74246 
74265 

io.258ii 
25792 
25773 
25754 
25735 

9.82078 
82106 
82i33 
82161 
82188 

i4 
i4 
i5 
i5 
16 

10.17922 

17894 
17867 
I7839 
17812 

10.07889 
07898 
07906 
079  u 
07923 

9.9211  . 
92102 
92094 
92086 
92077 

3o 

20 
28 
27 
26 

7  3i  20 

3l   12 

3.  4 

3o  56 
3o  48 

4  28  4o 
28  48 
28  56 
2.9  4 
?9  12 

9.74284 
743o3 

74322 

7434i 
7436o 

II 
II 

12 
12 
12 

10.25716 
25697 
25678 
25659 
2564o 

9.82215 
82243 
82270 
82298 
82325 

16 
16 

17 
17 
18 

10.17785 
17757 
17730 
17702 
17675 

10.07931 
07940 
0794^ 
07956 
o7965 

5 
5 
5 
5 
5 

9.92069 
92060 
92052 
92044 
92035 

25 
24 
2,: 
22 
21 

7  3o  4o 
3o  32 
3o  24 
3o  16 
3o  8 

4  29  20 
•20  28 

29  36 
29  44 
29  52 

9.74379 
7439b 

744i7 
74436 
74455 

l3 

i3 
i3 
«4 
i4 

IO.  25621 
25602 

25583 
25564 
25545 

9.82.352 
8238o 
82407 
82435 
82462 

18 
'9 
'9 

20 
2O 

10.17648 
17620 
17593 
i7565 
i7538 

10.07973 
07982 
07990 
07998 
08007 

6 
6 
6 
6 
6 

9.92027 
92018 
92010 
92002 
91993 

2O 

!* 

17 
16 

Tc 

i3 

12 

1  1 

10 

7 
6 

45 
46 

47 
48 

^2 
5o 

5i 

52 

53 
54 

7  3o  o 
29  52 
29  44 
29  36 
29  28 

4  3o  o 
3o  8 
3o  16 
3o  24 
3o  32 

9  •  74474 
74493 
745,2 
7453i 

745i9 

i4 
.5 
i5 
i5 
16 

10.25526 
255o7 
25488 
25469 
2545i 

9.82489 
82517 
82544 
82571 
82599 

21 
21 
22 
22 
22 

10.17511 
i7483 
i7456 
17429 
17401 

io.o8oi5 

080  2  L 

o8o32 
o8o4i 
08049 

b 
6 

7 
7 
7 

9.9,985 
91976 
9,968 
91959 
91961 

7  29  20 

29  12 

29  4 
28  56 
28  48 

4  3o  4o 
3o  48 
3o  56 
3i  4 

3l  ,2 

9-74568 
74587 
74606 
74625 
74644 

16 
16 

17 
17 
17 

17 
18 
18 
18 
'9 

'9 

10.25432 
a54i3 
25394 
25375 
25356 

9.82626 
82653 
82681 
82708 
82735 

23 
23 

24 
24 
25 

10.17374 
17347 
17319 

I?29? 
17265 

io.o8o58 
08066 
o8o75 
o8o83 
08092 

7 
7 
7 

8 

9.91942 
91934 
91925 
91917 
91908 

55 
56 

57 
58 
5o 
60 

7  28  4o 
28  32 
28  24 
28  16 
28  8 
28  o 

4  3i  20 
3*i  28 
3r  36 
3i  44 
3i  52 

32   0 

9  .  74662 
74681 
74700 

74719 
74737 
74756 

io.25338 
25319 
253oo 
25281 
25263 
25244 

9.82762 
82790 
82817 
82844 
82871 
82899 

25 

26 
26 

27 
27 
27 

10.17238 
17210 
i7i83 
I7i56 
17129 
17101 

10.08100 
08109 
08117 
08126 
08  1  34 
o8i43 

8 
8 
8 
8 
8 
8 

9.91900 
91891 
9i883 
91874 
91866 
9i857 

4 
3 

2 

0 

M 

M 

PifT 

Secant. 

Cotangent 

Diff 

Tangent. 

Cosecant. 

Dirt' 

Sine. 

28 

3 

A         A      B         B      C        C   56- 

Seconds  of  time  

1» 

2- 

3- 

4- 

5- 

6« 

7- 

f  A 

2 

5 

7 

10 

12 

i4 

17 

Prop,  parts  of  cols.  <   B 

!  r. 

I 

7 

2 

IO 

3 

i4 

4 

17 

5 

21 

6 

24 

7 

TABLE  XXVIJ                 ri'agesjg 

Log.  Sines,  Tangents,  and  Secants.               Cl> 
•J4°               A        A      B         B      C        C  14.r 

51 

° 

•i 

3 

4 

He  :r  A.M.IIIour  r.M. 

Sine. 

Diff. 

Cosecant. 

Tangent. 

rW'Cotangeiit 

Sec-ant. 

Diff. 
o 
o 

0 
0 

I 

Cosine. 

M 

7  28  o 

27  52 
27  44 
27  36 
27  28 

14  32  o 
32  8 
32  16 

32  24 
32  32 

9-74756 
74775 
74794 
748t2 
7483  1 

0 
0 

I 
I 
I 

10.25244 

25225 

25206 
25i88 
25169 

9.82899 
82926 
82953 
82980 
83oo8 

o 

o 

I 

2 
2 

3 
3 
4 

4 

i  o  .  17101 

1  7074 

17047 

17020 

16992 

I0.o8i43 
081  5  1 
08160 
08168 
08,77 

9.91857 
91849 
91840 
9i832 
91823 

fio 

•''/ 
5S 

57 

56 
55 
54 
53 

5  •> 
5i 

5 
6 

n 

8 

9 

7  27  20 

27  12 

27  4 
26  56 
26  48 

4  3a  40 
32  48 
32  56 
33  4 
33  12 

9.7485o 
74868 
74887 
74906 
74924 

2 
2 

2 
2 

3 
3 
3 
4 
4 
4 

io.25i5o 

25l32 

a5n3 
25094 
25o76 

9-83o35 
83o62 
83o89 
83u7 
83i44 

10.16965 
i6938 
1691  1 
1  688  3 
16856 

10.  08  i  85 
08194 
08202 
08211 
08219 

9.91815 
91806 
91798 
91789 
91781 

10 

1  1 

12 

i3 
i4 

7  26  4o 
26  32 
26  24 
26  16 
26  8 

4  33  20 
33  28 
33  36 
33  44 
33  52 

9.74943 
74961 
74980 

74999 

75017 

10  25o57 
25039 

25020 
25001 

a4983 

9.83171 

83  1  98 
83225 
83252 
8328o 

5 

5 
5 
6 
6 

10.  16829 
16802 
i6775 
16748 
16720 

10.08228 
08237 
08245 
08254 
08262 

I 

2 
2 
2 
2 

9.91772 
91763 
9I755 
91746 
9i738 

5o 

49 
48 
47 
46 

i5 
16 

17 
18 

!9 

7  26  o 

25  52 

25  44 
a5  36 
a5  28 

4  34  o 
34  8 
34  16 
34  24 
34  32 

9.75o36 
75o54 
75o73 
75091 
75i  10 

5 
5 
5 
6 
6 

10.24964 
24946 
24927 
24909 
24890 

9.83307 
83334 
8336i 
83388 
834  1  5 

7 

8 
8 
9 

10.  16693 

16666 

i6639 
16612 
16585 

10.08271 
08280 
08288 
08297 
o83o5 

2 
2 
2 

3 
3 

9.91729 

91720 
91712 
91703 
91695 

45 
44 
43 

42 

4i 

20 
21 
22 
23 

24 

7  25  20 

25  12 

25  4 
24  56 
24  48 

4  34  4o 
34  48 
'  34  56 
35  4 
35  12 

9.75128 

75  1  47 
75  1  65 
75  1  84 
75202 

6 
6 

7 
7 
7 

10.2487:* 
24853 
24835 
24816 
24798 

9-83442 
8347o 
83497 
835?.4 
8355  1 

9 
9 

10 
10 

ii 

10.  i6558 
i653o 
i65o3 
16476 
16449 

io.o83i4 
o8323 
o833i 
o834o 
08349 

3 
3 
3 
3 
3 

9.91686 
91677 
91669 
91660 
9i65i 

4o 

3 

3-7 
3<i 

25 

26 
27 
28 
29 

7  24  4o 

24  32 

24  24 
24  16 
24  8 

4  35  20 
35  28 
35  36 
35  44 
35  52 

9.75221 
75239 
75258 
75276 
75294 

8 
8 
8 
9 
'  9 

9 
9 

10 
10 
10 

10.24779 
24761 
24742 
24724 
24706 

0.83578 
836o5 
83632 
83659 
83686 

1  1 

12 
12 

i3 
i3 

10.16422 
i6395 
1  6368 
i634i 
i63i4 

io.o8357 
o8366 
o8375 
o8383 
08392 

4 
4 
4 
4 
4 

9.91643 
9i634 
91625 
91617 
91608 

3S 
34 
31 
3i 
3i 

3o 
29 
26 
27 
?6 

3o 
3i 

32 

33 
34 

7  24  o 

23  52 

28  44 
23  36 

23  28 

4  36  o 
36  8 
36  16 
36  24 
36  3  a 

9.753.3 
7533i 
7535o 
75368 
75386 

10.24687 
24669 
2465o 
2463a 
24614 

9.837i3 
8374a 
8  3768 
83795 
83822 

i4 
i4 
i4 
i5 
i5 

10.16287 
16260 
16232 
16205 
16178 

10.08401 
08409 
08418 
08427 
o8435 

4 
4 
5 
5 
5 

9.91:599 
91591 
9i5»3t 
9i573 
9  1  565 

35 
36 
37 
38 
39 

4o 
4i 

42 

43 
44 

7  23  20 

23  12 

23  4 

22  56 

22  48 

4  36  40 
36  48 
36  56 
37  4 

37  12 

9.75405 
75423 
7544i 
75459 
75478 

1  1 
II 
II 

12 
12 

10.24595 

24577 
24559 
2454i 

24522 

9.83849 
83876 
83oo3 

8393o 
83957 

16 

16 

17 
17 
18 

10.  i6i5i 
16124 

16097 
16070 
i6o43 

io.o844-x 
o8453 
08462 
08470 
08479 

5 
5 
5 

5 
6 

9-Vr556 
91547 
9  1  538 
9i53o 
91521 

25 

24 

33 
22 

2  I 

7  22  40 

22  32 
22  24 
22  l6 
22   8 

4  37  20 
37  28 
37  36 
37  44 
37  52 

9.75496 
755i4 
75533 
7555, 
75569 

12 

i3 
i3 
i3 
i3 

io.245o4 
24486 
24467 
24449 
2443  1 

9.83984 
84o  1  1 
84o38 
84o65 
8^092 

18 
18 
'9 
'9 
20 

10.16016 
15989 
15962 
i5935 
15908 

10.08488 
08496 
o85o5 
oS5i4 
o8523 

6 
6 
6 
6 
6 

9  .  9  1  5  1  2 
9  1  5c>4 
91495 
91486 
91477 

20 
'9 

ib 

17 
16 

45 
46 
47 
48 
49 

7  22   0 
21  52 

21  44 
21  36 

21  28 

4  38  o 
38  8 
38  1  6 
38  24 
38  32 

9.75587 
756o5 
756^4 
75642 
7566o 

i4 
14 

i4 
i5 

i5 

i  0.2  44  i  3 
24395 
24376 
24358 
2434o 

9.  84  119 
84  1  46 
84i73 
84200 
84227 

20 
21 
21 
22 
22 

10.16881 

1  5854 
15827 
i58oo 
i5773 

io.o853i 
o854o 
o8549 
o8558 
o8567 

7 
7 
7 
7 
7 

9.91469 
91460 
9i45i 
91442 
9i433 

i5 

i4 
i3 

12 

I  I 

5o 
5i 
5a 
53 

54 

7  21  20 
21  12 
21   4 

20  56 
20  48 

4  38  4o 
38  48 
38  56 
39  4 

39  12 

9.75678 
75696 
757i4 
75733 
7575. 

i5 

16 

16 
16 

'7 

10.24322 
24304 
24286 
24267 
24249 

9.84254 
84280 
843o7 
84334 
8436  1 

23 
23 
23 

ii 

10.15746 
15720 
i5693 
i5666 
i5639 

10.08575 
o8584 
o8593 
08602 
086.  1  1 

7 

8 
8 
8 

9.91425 
91416 
91407 
91398 
9I389 

10 

6 

55 
56 
57 
58 
59 
60 

7  20  4o 

2C  32 
20  24 

20  1  6 

20   8 

20  o 

4  39  20 
39  28 

39  36 
39  44 
39  5? 
4o  o 

9.  -75769 
75787 
758o5 
758a3 
7584. 
75859 

'7 
17 
17 
18 
18 
18 

10.  2423  i 

242l3 

24195 

24177 
24  1  59 
24141 

9-84388 
844  1  5 
84442 
84469 
84496 
84523 

25 
25 

26 
26 

27 
27 

10.  i  56  i  2 
i5585 
i5558 
i553i 
i55o4 
15477 

10.08619 
0862* 
o8637 
o8646 
o8655 
08664 

8 
8 
8 
8 
9 
9 

9.9i38i 
91372 
91  363 
9i354 
9i345 
9  1  336 

5 
4 
3 

2 

I 
0 

M 

Hour  p  .  M  .1  Hour  A  -M  . 

Cosine 

Diff. 

Secant. 

Colangcnt|Diff. 

Tangent. 

Cosecant. 

Diff. 

Sine. 

!W 

134' 


A                    A 

B 

] 

3 

C 

Seconds  of  time         .  .  . 

1s 

2s 

3" 

4' 

51 

6' 

7s 

(A 

Prop,  parts  of  co]s.  <   B 

(c 

3 
i 

5 

7 

2 

7 

10 

3 

9 
i4 

4 

1  1 

17 
5 

M 

7 

16 

24 

8 

C      55 


TABLE   XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
A  A  B  B 


a 
144: 


o.i5477 
i545o 
1 5424 
15397 
i537o 


0.08664 
08673 
08681 
08690 
08699' 


9-84657 
84684 
84711 
84738 
84764 


o.i5343 
1 53 1 6 
15289 


0.08708 
08717 
08726 
o8734 
08743 


9-8479 
848 1 8 
84845 
84872 
84899 


18  4o 

18  32 

18  24 

18  16 
18 


9-849 
84962 

84979 
85ooe 


10.0884 
o885 
o885 
0886! 
08877 


10.08886 
08896 
08904 
08913 
08922 


9.85i9 
8622 
8624 

852731  12 

853oo!  i3 

i  a 


9.85327 
85354 
8538o 
85o- 


9-7639 
764 1 3 
7643 
76448 
76466 


o.i 454o 
i45i3 
1 4486 
i446o 
i4433 


o.235i6  9.8546o 


9.76484 
76601 
76619 
76637 
76554 

9.7667: 
7659c 
76607 
7662^ 
7664^ 


8548- 
855i4 
85540 
86667 

9.86694 
8562C 
8564- 


o.i44o6 
i438o 
i4353 


14246 

l4220 

i4i93 
14166 


8578c 
858o7 
8583^ 
9.8586c 
86887 
85i3 


0914    _°__ 
ToTom^sl    « 
09,68 
09177    9 


i o.i 4007 
i398< 
i3954 
1 302-3 
i3oo« 


9.8699 
8602 
86o4 
86073 


9.7683 
7685 
7687 
7688 
769c 
•7695 


09186 
09196 
09204 
Cosecant. 


86100  26 
86126  27 


60 


53 

91566  1  5? 
9.267  6 

9.91348  5ol 
91239  49 
91230  48 
91221 
91212  461 

9.91203  45 
91  194  44 
91185  43 
91176  42 
91  167  4 
.9ii58|4d| 

91  149!  3o 

9ii4it38l 
91.32  37I 
__    36 

.91  i  i4  35 
9iio5|34 
9>°Q6  £3 
91087!  3a 

9io78  3i 
.9io69|3o| 

91060! 

9io5i 
91042  27 
9io33  26 

9.91023  s! 


9  1  oo  5  i  23 

90996  2.2 

__909_8_7 
9.9097820 

90969!  19 

9o96 
9o95i 


9.90933 
90924 

909,6 
90906 
90896]^ 

9^0887 
9c,878 
90869 
90860 |  7 

1 


,—  -—  " 

1s 

4)8 

3' 

4s 

5s 

6' 

7« 



— 

f  A 

2 

4 

7 

9 

1  1 

i3 

|    Prop,  parts  of  cols.  |  B 

(c 

3 

i 

7 

2 

10 

3 

i3 

5 

17 
6 

20 

7 

23 

8  j 

M 

Hour  A.M. 

TABLE  XXVII.                       [Page  221 

Log.  Sines,  Tangents,  and  Secants.               G'- 
A        A      B        B      C        C  143° 

Hour  P.M. 

Sine. 

Off. 

Cosecant. 

Tangent. 

Diff. 

Cotangent 

Secant.  Diff. 

Cosine 

M 
60 

5? 

56 

0 

i 

2 

3 
4 

6 

8 

.0 

i  . 

12 

i3 

7  12  o 

I  I  52 

n  44 
u  36 
ii  28 

4  48  o 
48  8 
48  16 
48  24 
48  82 

9.76922 
76939 
76957 
76974 
76991 

o 

o 

I 
I 
I 

10.28078 
28061 
23o43 
28026 
28009 

9.86.26 
861  53 
86.79 
86206 
86232 

0 
0 

i 

i 

2 

i  o.i  38-74 
i3847 
18821 
18794 

13768 

i  o  .  092.04 
092  1  3 
09228 
09282 
0924. 

o 
o 
o 

0 

9.90-796 
90787 
90777 
90768 
90759 

7  1  1  20 

II  12 
II   4 

10  56 
10  48 

4  48  40 

48  48 
48  56 
49  4 

49  (2 

9.77009 
77026 
77043 
7706. 
77078 

I 

2 
2 
2 

3 

10.22991 
22974 
22957 
22989 
22922 

10.22905 
22888 
22870 
22.853 
22836 

9.86259 
86285 
86812 
86338 
86365 

?. 

3 
4 
4 

18688 
18662 
i3635 

10.09250 
09259 
09269 

09278 
09287 

I 
I 
I 

I 

9.90750 
90741 
90781 
90722 
907.8 

55 
54 
53 

52 

5. 

7  10  4o 

1O  32 
10  24 

10  16 
10  8 

4  49  20 
49  28 
49  36 
49  44 
49  62 

9.77095 

77.  12 

77i3o 

77147 
77  '64 

3 
3 
3 

4 
4 

9.86892 
864  1  8 
86445 
8647> 
86498 

4 
5 
5 
6 
6 

io.i36o8 
i3582 
i3555 
13529 
i35o2 

10.09296 
09806 
098.5 
09824 
o9333 

2 
2 
2 
2 
2 

9.90704 
90694 
9068  5 
90676 
90667 

5o 

49 
48 

47 
46 

1  5 
16 

17 
1  8 

'9 

7  10  o 
9  52 
9  44 
9  36 
9  28 

4  5o  o 
5o  8 
5o  .6 
5o  24 
5o  82 

9.77181 

77  "99 
77216 
77>33 

4 
5 
5 
5 
5 
6 
6 
6 
7 
7 

10.22819 
22801 

22784 
22767 
22750 

9-8659.4 
8655. 

86577 
86608 
86680 

7 

7 
7 
8 
8 

10.18476 
1  3449 
13428 
13897 
18870 

10.09848 
09852 
09861 
09870 
09880 

2 
2 

3 
3 
3 

9.90657 
90648 
90689 
90680 
90620 

45 
44 
43 
4* 
4i 

90 
21 
22 
9.3 

24 

7  9  20 
9  12 

8  56 
8  48 

4  5o  4o 
5o  48 
5o  56 
5i  4 

5l  12 

9.77268 
77286 
77302 
77819 
77886 

10.22782 
227.5 
22698 
2268. 
22664 

9.86656 
86683 
86709 
86736 
86762 

9 
9 

10 
IO 

1  1 

10.  i  3344 
i33i7 
18291 
1  3264 
i3238 

10.09889 
09898 
09408 
094  1  7 
09426 

3 
3 
3 
4 

4 

9.90611 
90602 
90592 
90583 
90574 

4o 

39 

38 

37 
36 

25 
26 

27 
2.8 

29 

7  8  40 
8  32 
8  24 
8  16 
8  8 

4  5  1  20 
5i  28 
5i  36 
5i  44 
5i  52 

9.77353 
77870 
77387 
774o5 
77422 

7 

8 
8 

8 

10.22647 
22680 
226.3 
22595 

22578 

9.86789 
8681  5 
86842 
86868 
86894 

1  1 
i  . 

12 
12 

i3 

o 

CO  Co  Co  CO  CO 

a  Co  en  co  1-1  ' 
(o  co  en  — 

10.09435 
o9445 
09454 
09468 
09473 

4 
4 
4 
4 
5 

9.90565 
9o555 
90546 
9o537 
90527 

35 
34 
33 

32 

3i 

3o 
81 

39 

33 

34 

780 
7  52 
7  44 
7  36 
7  28 

4  52  o 
52  8 
52  16 

52  24 
52  32 

9.77489 
77456 
77473 
77490 
775o7 

9 
9 
9 

.21 

IO.2256. 

22544 
22527 

225.0 
22498 

9.8692. 
86947 
86974 
87000 
87027 

i3 
M 

i5 
i5 

10.  18079 
i3o53 
13026 
1  3  ooo 
12978 

10.09482 
09491 
09501 
09510 
09520 

5 
5 
5 
5 
5 

9.90518 
90509 
90499 
90490 
90480 

3o 
29 
28 
27 
26 

35 
36 
37 
38 
39 

7  7  20 
7  12 
7  4 
6  56 
6  48 

4  52  40 
52  48 
52  56 
53  4 
53  12 

9.77524 
7754i 
77558 

77592 

10 
10 

1  1 
u 
ii 

10.22476 
22459 
22442 
22425 
224o8 

9.87053 
87079 
87106 
87182 
87  1  58 

i5 

16 
16 

17 
17 

10.12947 
12921 
12894 
12868 
12842 

10.09529 
o9538 
09548 
09557 
09566 

5 
6 
6 
6 
6 

9.904-71 
90462 
90452 
90448 
90434 

25 

24 

23 
22 
2. 

4o 

43 

44 

7  6  4o 
6  32 
6  24 
6  .6 
6  8 

4  53  20 
53  28 
53  36 
53  44 
53  52 

9.77609 
77626 
77643 
77660 
77677 

i  . 

12 

12 
12 
13 

IO.2239I 
22374 
22357 

22840 

22323 
IO.223o6 

22289 
22272 

22256 

22289 

9.87185 
87211 
87238 
87264 
87290 

18 
18 
18 
'9 

10.  I28l5 

12789 

12762 

12786 

12710 

10.09576 
o9585 
09595 
09604 
09614 

6 
6 

7 
7 
7 

9.90424 
904.5 

90896 
9o386 

20 
19 

18 

'7 
16 

45 

46 
47 
48 

49 

760 
5  52 
5  44 
5  36 
5  28 

4  54  o 
54  8 
54  16 
54  24 
54  32 

9.77694 

777U 

77728 

77744 
77761 

13 

i3 
i3 
i4 
i4 

9.873,7 
87343 
87869 
87896 
87422 

20 

20 
21 
21 
22 

10.12688 
i2657 
12681 
12604 
12578 

10.09623 
09632 
09642 
oo65i 
09661 

7 
7 
7 
7 
8 

9.90877 
90868 
908  58 
90849 
90889 

i5 

id 
i3 

12 
II 

5o 
5i 

59 

53 
54 

7  5  20 

5  12 

5  4 
4  56 
4  48 

4  54  4o 
54  48 
54  56 
55  4 
55  12 

9.77778 

77795 
778.2 
77829 
77846 

i4 
i5 

i5 
i5 
1  5 

IO.  22222 
22205 
22188 
2217. 
22  I  54 

9-87448 
87475 
87501 

87554 

22 
22 
23 
23 

24 

10.12559. 
12525 

12499 
12478 

12446 

10.09670 
09680 
09689 
09699 
09708 

8 
8 
8 
8 
8 

9.90880 
90820 
9o3u 
9o3oi 
90292 

10 

6 

55 
56 
57 
58 

r9 
60 

M 

7  4  4o 
4  32 
4  24 
4  16 
4  8 
4  o 

4  55  20 
55  28 
55  36 
55  44 
55  52 
56  o 

9.77862 

77879 
77896 
779.8 
77980 
77946 

16 
16 
16 
16 

17 

Diff. 

10.22.38 
22.21 
22104 
22087 
22070 
22054 

9.8758o 
87606 
87633 
87659 
87685 
87711 

24 
25 
25 

26 
26 
26 

Diff 

10.12420 
12894 
12867 
12841 
i23i5 
12289 

10.09718 
09-72-7 
09737 
09746 
o9756 
09-765 

9 
9 
9 
9 
9 
9 
Diff. 

9.90282 
90273 
90268 
90254 
90244 
90285 

5 
4 
3 

2 

I 
0 

M 

Hour  P.M. 

Hour  A.M. 

Cosine. 

Secant. 

Cotangent 

Tangent. 

Cosecant. 

Sine. 

[2(>°               A        A      B        B      C        C   50° 

Seconds  of  time           .  . 

!• 

o. 

3* 

4. 

5" 

6s 

7" 

f 

(A 

2 

4 

6 

9 

ii 

i3 

i5 

Prop,  parts  of  cols.  <  B 

3 

7 

10 

r3 

17 

20 

23 

(c 

i 

4 

5 

6 

7 

8 

l''l*ea231                TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants.               G' 
•i7°               A        A      B         B      C       C  142C 

.\1 

lour  A.M. 

lour  P.M. 

Sine. 

Diff. 

Josecant. 

Tangent. 

>ft"  ( 

Cotangent 

Sec-ant. 

Jiff. 

Cosine. 

I 

o 

2 

3 

4 
5 
6 
7 
8 

9 

7  4  o 
3  52 
3  44 
3  36 
3  28 

4  56  p 
56  8 
56  16 
56  24 
56  32 

9-77946 
77963 
77980 
77997 
780  1  3 

0 

o 

i 
i 
i 

0  22054 

22037 

22020 
22003 
21987 

9.87711 

87738 
87764 

878171 

0 
0 

i 

2 

o.  1  2289 
12262 

12236 
I22IO 

I2i83 

o.o9765 
o9775 
09784 
o9794 
o98o3 

0 

o 

0 
0 

.90235 
90225 
90216 
00206 
oo,  97 

o 

8 
7 
6 

5 

3 

7  3  20 

3  12 

3  4 
2  56 
2  48 

4  56  40 
56  48 
56  56 

57  4 

57  12 

9-78o3o 

78047 
78o63 
78080 
78097 

i 

2 
2 
2 
2 

0.21970 
21953 
21937 
21920 
21903 

9.8-7843 
87948 

j 

4 

12l3l 
12105 

12078 

12052 

o.o98i3 
051822 
o9832 
o984i 
o985i 

2 
2 
2 
2 
2 

.90187 
910178 
00168 
90159 

9o  1  49 

10 

1  1 

12 

.3 
i4 

7  2  4o 

2  32 
2  24 
2  |6 
2   8 

4  57  20 
57  28 
57  36 
57  44 
57  52 

9.78113 
78i3o 

78147 
78  1  63 
78180 

3 

3 
3 

4 

4 

0.21887 
21870 

2i853 
2i837 
21820 

88000 
8802-7 
88o53 
88o79 

4 
5 
5 
6 
6 

O.I2026 
12000 
II973 

II947 
II921 

io.o986i 

o988o 
o9889 
o9899 

7.90139 
oo  1  3o 
90120 
901  n 
90,01 

5o 
[9 

48 

47 

i5 
16 

i7 
18 

•9 

?*     2 

44 
36 

28 

4  58  o 
58  8 
58  16 
58  24 
58  32 

9.78197 
782,3 

782.46 
78263 

4 
4 
5 
5 
5 

io.2i8o3 
21787 
21770 
21754 

9.88io5 
88i3, 
881  58 
88.84 
88210 

7 
7 

8 

8 

0.11895 
11869 
II842 
Il8,6 
11790 

10.09909 
09918 
09928 
0993-7 
o9947 

2 
3 

3 
3 
3 

9.90091 
90082 
90072 
90063 
900  5  3 

45 
44 
43 
42 

20 
21 
22 
23 

24 

7    20 

12 

o  56 
o  48 

4  58  4o 
58  48 
58  56 
59  4 
59  12 

9.78280 
78296 
783i3 
78329 
78346 

5 
6 

6 
6 

7 

10.21720 
21704 
21687 
21671 
21  654 

9.  88236 
88262 
88289. 
883  1  5 
8834, 

9 
9 

IO 
10 
IO 

o  .  i  i  764 
1  1738 
117,  i 
1  1  685 
11659 

10.09967 
09966 
09976 
09986 
o9995 

3 
3 
4 
4 
4 

9.90043 
90024 

900  I  L 

9ooo5 

4c 

39 

38 

36 

25 

27 
28 
29 

7  o  4o 

0  32 

0  2^ 

o  16 
o  8 

4  59  20 
59  28 
59  36 
59  44 
59  52 

9.78362 

78379 
78395 
78412 
78428 

7 
7 
7 
8 
8 

io.  21  638 
21621 
2i6o5 
2i588 

2,572 

9.88367 
$83o3 

88420 
88446 
88472 

II 
II 

12 
12 
13 

io.  i  i633 
11607 
n58o 
ii  554 
1  1  528 

lO.loooS 
iooi5 
10024 

4 
4 
4 

9  .89995 
89985 
89976 
8996f 
89956 

35 
34 
33 

32 

3i 

3o 
3i 

32 

33 
34 
35 
36 

37 

38 
39 

700 
6  59  52 
59  44 
59  36 
59  28 

5  o  o 
o  8 
o  16 
o  24 

0  32 

9-78445 
7846, 
78478 
78494 
785io 

8 
9 
9 
9 
9 

io.2i555 
21539 
21622 
2i5o6 
21490 

9.88498 
88524 
8855o 
88577 
886o3 

i3 
i4 

i4 

i5 

IO.  I  l5o2 

11476 

1142^ 
11397 

io.  ioo5; 
1006; 
1007; 
10082 
10092 

9.89947 
89937 
89927 
899,8 
899o8 

2  9 

2.8 

27 
26 

6  59  20 

59  12 

59  / 

58  56 
5b  48 

5  o  4o 
o  48 
o  56 
L 

12 

9.78527 
78543 
7856o 
78576 
78592 

10 
10 
IO 
10 

II 

2i457 
2i44o 
2142^ 
21408 

91.88629 
88655 
88681 
887o7 
88733 

i5 

16 
16 

17 

'7 

io.  i  i37 
u  345 
i;3io 
1129; 

II267 

IO.  10102 
IOII2 
IOI2I 

ioi3i 
ioi4i 

6 
6 
6 
6 
6 

9.89898 
89888 
89879. 
89869 
89859 

a5 

24 

23 
22 
2  I 

4o 
4i 

42 

43 
44 

6  58  4o 
58  32 
58  24 
58  16 
58  8 

5     20 

28 

36 

44 

52 

9.  -78609 
-78625 
78642 
78658 
78674 

II 
II 

I0.2l39l 

2i375 
2  1  358 

2  I  342 
2l320 

9.88759 
88786 
88812 
88838 
88864 

17 
18 
18 
'9 

'9 

10.  I  124 

iu8£ 
1116 
iu36 

io.ioi5i 
10160 

10170 
10180 

10.10195 
10205 
10215 
10225 
10235 

b 

7 
7 
7 
7 

9.89849 
8984o 
8983o 
89820 
898io 

2O 

'9 
18 

'7 
16 

45 
46 
47 
48 
49 

6  58  o 
57  52 
57  44 
57  36 
57  28 

520 
2   8 
2  16 
2  It 
2  32 

9.7869, 

78707 
78723 

78739 
78756 

1  3 

i3 
i3 

io.2i3o5 

2  I  29: 

.    2I277 
2126 
2  I  24/ 

9.88890 
889i6 
88942 
88968 
88994 

20 
2O 
20 
21 
21 

,0.1  I  I  10 
I10& 

iio3 
11006 

7 

8 
8 
8 
8 
8 
8 
9 
9 

9.898o 

8979 
8978 

8977 
8976 

,4 
.3 

12 
1  1 

5o 
5i 

52 

53 

V 

6  57  20 

57  12 

57  4 
56  56 
56  48 

5  2  4o 
2  48 
2  56 
3  4 

3  12 

9.78772 
78788 
788o5 
78821 
78837 

i4 
i4 
i4 

!  l5 
i5 

10.21228 
2I2I9 
21  I95 

21  179 

9.80020 
89o46 
89o73 
89o99 
89i25 

22 
22 
23 
'23 

24 

io95^ 
1092 
1090 
io87 

10.10248 
10258 
10268 
10278 
10288 
10.10298 
io3o7 
io3i7 
10327 
io337 
io347 
Cosecant 

9.89752 
89742 
89732 
89722 
897.2 

1C 

\ 

1 

6 

55 
56 
57 
58 
59 
60 

6  56  40 
56  32 
56  24 
56  16 
56  8 
56  o 

5  3  20 
3  28 
3  36 
3  44 
3  52 
4  o 

9.788.53 
78869 
-78886 
78902 
78918 
78934 

i5 
i5 
16 
16 
16 
16 

10.21  »47 
2Il3 
21  I  1^ 
21098 
21082 
21066 

Secant 

9.89161 

89i77 
892o3 

89229 

89255 
89281 

Cotangent 

24 

24 
25 
25 

26 
26 

Din" 

io.io849 
1082 

1079.7 
1077 
1074 

Tangent 

9 
9 
9 
9 

10 

10 

DhT 

9.89702 
89693 
8o683 
89673 
8066 
89G5 

Sine. 

4 
3 
•j. 

Hour  I>.M  jHourA.M. 

0 

A 

A 

B 

B      C 

C   52» 

Prop,  parts  of  cols 


5' 

38 

T 

TABLE  XXV11.                        [I'age223 

Log.  Sines,  Tangents,  and  Secants                '"• 
A        A      B         B      C        C  141° 

Hour  A.M. 

Hour  I'.M 

Sine.  Diff. 

Cosecant. 

Tai.gent. 

Diff. 

Cotangent 

Secant. 

Diff.  Cosine. 

M 

o 

6  56  o 
55  52 
55  44 
55  36 
55  28 

5  4  o 
4  8 
4  16 
4  24 
4  32 

9.78934  o 
78950!  0 

78967   I 
78983   I 
78999)   * 

10.21066 
2io5o 
2io33 
21017 

2IOO1 

SO 

CO  CO  CO  CO  CO 
sO  sO  sO  sO  sO 
Co  Co  CO  Co  (0 
CO  en  Co  O  Co 
enso  co^j  *- 

o 

0 

I 
I 

2 

i  o.  10719 

10641 
io6i5 

IO.io347 
io357 
io367 
io376 
io386 

0 
O 
0 

9.89653 
89643 
89633 
8o62/ 
896i4 

60 

59 
58 
57 
56 

6 

6  55  20 
55  12 

55  4 
54  56 
54  48 

5  4  4o 
4  48 
4  56 
5  4 

5  12 

9.79015 
7oo3  1 
79047 
79063 
79°7V 
9.79096 
79111 
79128 
79144 
79160 

I 
2 
2 
2 

2 

io.2o985 

20969 

20953 
20937 

2092  1 

9  .  894  1  1 
89437 
89463 
89489 
895i5 

2 

3 
3 
3 
4 

10.10589 
io563 
io537 
io5ii 

io485 

10.  io396 
10406 

10426 
io436 

2 

9  .  8960^ 
89594 
8958/ 

8956^ 

55 
54 
53 

52 

5i 

10 

i 

12 

i4 

6  54  4o 
54  32 
54  24 
54  16 
54  8 

5  5  20 
5  28 
5  36 
5  44 
5  52 

3 

3 

3 
3 
4 

10.20905 

20889 
20872 

20856 
20840 

9.  8954  i 
89567 
89593 
89619 
89645 

4 
5 
5 
6 
6 

10.  io459 
io433 
10407 
io38i 
io355 

10.  io446 
io456 
10466 
104-6 
10486 

2 
2 
2 
2 
2 

XT  xr  XT  XT  XT 
Im  XT  oo  CN  — 
in  in  in  in  in 
O  O  O  O  O 

CO  OO  CO  OO  CO 
0 

5o 

49 
48 

47 
46 

16 

18 
19 
20 

21 
22 

24 

0  54  o 
53  52 
53  44 
53  36 
53  28 

5  6  o 
6  8 
6  16 

6  24 
6  32 

9.79176 
79192 
79208 
79224 
79240 

4 
4 
5 
5 
5 

5 
6 
6 
6 
6 

10.20824 
20808 
2.0792 
20776 
20760 

9.89671 
89607 
89723 
89749 
89775 

6 

7 
7 
8 
8 

9 
9 

10 
10 
IO 

io.io329 
io3o3 
10277 

I025l 
IO225 

io.io496 
io5o5 
io5i5 

io535 

3 

3 
3 
3 
3 

9.895o4 
89495 
89485 
89475 
89465 

45 
44 
43 

42 

4i 
36 

6  53  20 
53  12 
53  4 
52  56 
52  48 

5  6  4o 
6  48 
6  56 
7  4 

7  12 

9-79256 
79272 
79288 
79304 
79319 

10.20744 
20728 
20712 
20696 
20681 

9.89801 
89827 
89853 
89879 
89906 

io.ioi99 
10173 
10147 

IOI2I 

ioo95 

10.  io545 
io555 
io565 
io575 
io585 

3 
4 
4 
4 
4 

9.  89455 
89445 
89435 
89425 
894  1  5 

25 

27 

28 

29 

6  52  4o 

52  32 
52  24 

52  16 
52  8 

5  7  20 
7  28 
7  36 

7  44 

7  52 

9.79335 
7935. 

79383 
79399 

7 
7 
7 

8 

io.2o665 
20649 
20633 
20617 
20601 

9.  8993  i 

89957 
89983 
90000 
9oo35 

II 
II 

12 
12 
13 

10.  ioo69 
10043 
10017 
09991 
o9965 

io.io595 
io6o5 
io6i5 
10625 
io636 

4 
4 
5 
5 
5 

9.89405 
89395 
89385 
89375 
89364 

35 
34 

33 

32 

3i 

3o 

35 
36 

38 
39 

6  52  o 
5i  52 
5i  44 
5i  36 
5  1  2.8 

5  8  o 
8  8 
8  16 
8  24 
8  32 

7943  1 
79447 
79463 
79478 

9.79494 
795io 
79526 
79542 
79558 

8 
8 
8 
9 
9 

io.2o585 
2o56o 
20553 
2o537 

20522 

9.90061 
90086 
90112 
9oi38 
90  1  64 

i3 
i3 

i4 
i4 
i5 

i5 
16 
16 

16 

17 

io.o9939 
o99i4 
o9888 
o9862 
o9836 

10.10646 
io656 
10666 
io676 
10686 

5 
5 
5 
6 
6 

6 
6 
6 
6 

7 

9.89354 
89344 
89334 

893M 

3c 

27 
26 

6  5  1  20 

5l  12 

5i  4 
5o  56 
5o  48 

5  8  40 
8  48 
8  56 

9  4 
9  12 

9 

10 
IO 
IO 
10 

io.2o5o6 
20490 
2o474 
2o458 
20442 

9.90190 
90216 
90242 
90268 
90294 

10.09810 
09784 
o9758 
00732 
09706 

io.io696 
lojod 
107/16 
107/26 
io736 

9.89304 
89294 
89284 
89274 
89264 

25 

24 

23 
22 
21 

4o 
4i 

42 

43 

44 

6  5o  4o 
5o  32 
5o  24 
5o  16 
5o  8 

5  9  20 

9  28 
9  36 
9  44 
9  52 

9.79573 
79589 
796o5 
79621 
79636 

II 
II 
II 
II 

12 

IO.2O427 

2041  1 
20395 
2o379 
2o364 

9.90320 
90346 
903-  1 
9o397 
90423 

18 
18 
T9 

10.09680 
09654 
09629 
09603 
09577 
10.09551 
09525 
00499 
09473 
09447 

10.107/46 
io756 
10767 
10777 
10787 

7 
7 
7 
7 
7 

XT  XT  oo  oo  oo 
in  XT  oo  CN  — 

CN  Oi  OJ  0)  0) 

O  O  O  O  O 

OO  CO  CO  CO  CO 
0 

20 

;89 

17 

16 

45 
46 
47 
48 

49 

6  5o  o 
49  52 
49  44 
49  36 
49  28 

5  10  o 
10  8 
10  16 
10  24 

10  32 

9.7965a 
79668 
79684 
79699 
797  1  5 

12 
12 
12 
13 

i3 

10.20348 
2o33s 
2o3i6 
2o3oi 

20285 

Om  —  t~~oo 

XT  r-  o  CN  in 

XT  XT  m  m  m 
O  O  O  O  O 
0 

20 
2O 
21 
21 

10.  IO797 
10807 
10817 
10827 
io838 

8 
8 
8 
8 
8 

9.89203 

89193 

89I83 

89173 

89162 

i5 
i4 
i3 

12 
1  I 

5o 
5i 
5  a 

53 
54 
55 
56 

57 
58 
59 
60 

M 

6  49  20 

49  12 

49  4 
48  56 
48  48 

5  10  4o 
10  48 
10  56 
ii  4 

II  12 

9.79731 
79746 
79762 
79778 
79793 

i3 
i4 
i4 

i4 

io.2or>69 

20254 
20238 
20222 
2O2O7 

9.9057/8 
90604 
9o63o 
9o656 
90682 

22 
22 
22 
23 
23 

"24 
24 

25 

25 

26| 

26  1 

10.09422 
09396 
09370 
o9344 
09318 

10.10848 
io858 
10868 
10878 
10888 

8 
9 
9 
9 
9 

sO 

OO  00  CO  CO  00 

sO  SO  sO  sO  so 

—  to  Co  Ix  en 

IO  SO  !0  10  K>  I 

IO 

7 
6 

4 
3 

2 

I 

6  48  4o 
48  32 
48  24 
48  16 
48  8 
48  o 

5  II  20 

II  28 
ii  36 
ii  44 

I  I  52 
12   0 

9.79809 
79825 
70840 
79856 
79872 
79887 

i5 
i5 
i5 
i5 
16 
16 

0.20191 
20I75 
20l6o 

20144 
20128 

201  l3 

9  .  907/08 
90734 
90759 
9o785 
9081? 
oo837 

10.09292 
09266 
09241 
002  1  5 
o9i89 

OQIOO 

10.  io899 
io9o9 
io9i9 

IO929 

io94o 
io95o 

9 
9 

10 
10 
10 
IO 

y.  89101 
89091 

89081 
89071 
89060 
89050 

lour  P.M. 

lour  A.M. 

Cosine. 

Diff. 

Secant. 

Cotan«-ent|Diff.| 

Tangent. 

>osecp.nt. 

)iff.  Sine. 

M 

128° 


C       51 


Seconds  of"  time  

1s 

2* 

:3S 

4' 

5' 

6s 

7' 

!A 

2 

4 

6 

8 

10 

12 

i4 

B 

3 

6 

10 

,3 

16 

'9 

23 

.C 

1 

3 

4 

5 

6 

8 

9 

r 

3! 

age  2-24] 
1° 

TABLE  XXVII. 

Log.  Sines,  Tangents,  and  Secants. 
A        A      B         B      C 

C  140° 

M 

[Hour  A.  M.I  Hour  c.M.  i  Sine,  r 

)iff. 

)secant. 

Tangent.  I 

itf.  (Cotangent 

Secant 

.  D 

iff.  < 

Cosine.  M 

i 

3 
4 

~  r 
I 

£ 

1 

6  48  o 
47  52 
47  44 
47  36 
47  28 

5  12   0  C 
12   8 
12  16 
I>  24 
12  32 

>.  79887 
79903 

79918 
79934 
79950 

o 

0 

I 
I 
I 

.20113 

20097 
20082 
20066 
200  5o 

9.90837 
9<)863 
90889 

909  1  4i 
90940] 

i  o  .  09  ,  63 
09137 
09,  ii 

09086 
09060 

0.10950 
10960 
10970 
10980 
10991 

o  9 

0 
0 

.8oo5o  60 
8ox>4o  59 
89o3o  58 
89020  57 
89009  56 

6  47  20 
47  12 
47  4 
46  56 
>   46  48 

5  12  4o  < 
12  48 
12  56 
i3  4 

l3  12 

7.79965 
79981 
79996 

800  1  2 
80027 

I 

2 
2 
2 
2 

.2oo35 
20019 

2000^ 

19988 
19973 

9.90966 
90992 
91018 
91043 
91069 

10.09034 
09008 
08982 
08957 
0893, 

0.  I  ,001 
IIOI  I 
I  1022 
II032 

II042 

S 

.88999  55 
88989  5^ 
88978 
88968 
88958 

N 

! 
1  ' 

K 

n 

>  6  46  4o 
46  32 
>   46  24 
5   46  16 
i   46  8 

5  i3  20 
1  3  28 
i3  36 
i3  44 
i3  52 

8oo58 
80074 
80089 
8oio5 

3 
3 
3 
3 
4 

o.  i9957 

19942 
19926 

199,  1 
19895 

9.9,095 

91  ,21 

9II47 
9II72 
91198 

10.08905 
08879 
o8853 
08828 
08802 

O.I  1052 

no63 
11073 
iio83 
11094 

2  :< 

l\ 
2 
2 

,  .88948 
88937 

88927 
889,7 
88906 

i 
H 
i 
i. 
i 

i  6  46  o 
3   45  52 
7   45  44 
3   45  36 
?   45  28 

5  i4  o 
i4  8 
i4  16 
i4  24 
i4  32 

c.  80120 
80,  36 
8oi5i 
80166 
80182 

4 
4 
4 

c 

c 

0.19880 
19864 

i9849 
i9834 
19818 

9.91224 
91250 
91276 

9i3oi 
91327 

10.08776 
08750 
08724 
08699 
08673 

o.i  no/ 
inn 

II  125 

iu35 
ni45 

3 

3 
3 
3 
3 

9  88896 
88886 
88875 
88865 
88855 

2 

2 
?. 
2 
'j. 

3   6  45  20 

,   45  12 

2   45  4 
3   44  56 
4   44  48 

5  1  4  4o 
i4  48 
i4  56 
i5  4 

l5  12 

9.80197 
802  1  3 
80228 
80244 
80259 

e 

6 
6 
6 

0.19803 
19787 
19772 
19756 
19741 

9.9i353 

9!^9 

9i43o 
9i456 

10.08647 
9   0862  i 
9   o8596 
io    08570 
io   o8544 

o.i  i  i  56 
11166) 

11176 
11187 
11197 

3 
4 
4 
4 
4 

4 
5 
5 
5 
5 

9.88844 
88834 
88824 
888,3 
888o3 

2 

2 
5. 
2 
2 

5  6  44  4o 
6   44  32 
7   44  24 
8   44  16 
9   44  8 

5  1  5  20 
i5  28 
i5  36 
i5  44 
i5  52 

5  16  o 
16  8 
16  16 
16  24 
16  32 

9.8027^ 
80290 
8o3o5 
8o320 
8o336 

6 

0.19726 
1971 
1969 
1968 
1966 

9.91482 
91507 
9,533 
9,559 
9i585 

i  i  io.o85i 
i  i    0849 
i  2   0846 
12   o844 
12   o84i 

io.  i  1207 
11218 
11228 

II239 

11249 

9.88793 
88782 
88772 
88761 
8875i 

3 

3 
3 
i 

/ 
i 
i 
< 

, 

o  6  44  o 
i    43  52 
2.   43  44 
3    43  36 
4   43  28 

9.8o35 
8o366 
8o382 
80397 
8o4i' 

10.196^ 
i963 
19618 
1  960.3 
19588 

9.91610 
9,636 
91662 
9,688 
91713 

1  3  io.o83-7 
i  3    o836 
i  4    o833 
i4   o83i 
i  5   0828 

10,11259 
11270 
11280 

11291 

ii3oi 

b 
5 
6 
6 
6 
6 
6 
6 
7 
7 

9.8874, 
8873o 
88720 
88709 
88609 

5  6  43  20 
6   43  i 
»7   43  4 
!8   42  5 
59   42  4 

16  4" 
16  48 
16  56 

17  4 

17  12 

9.80428 

8o44 

8o458 

80489 

10.  19572 
i9557 
19542 
19527 
195,  i 

9.91739 
91765 
91791 
91816 
91842 

i5  10.0826 
i  5   0823 
i  6   0820 
16   0818 
17    o8i5 

IO.Il3l2 
II322 

ii332 
1  1  343 
n353 

9.88688 
88678 
88668 
88657 
88647 

5 

4 
3 

9 

0 

31 

io  6  42  4 
{i   42  3 
42   42  2 

13   42  i 
i4   42 

,7  2O 
I7  28 

17  36 
17  44 

17  52 

9.8060^ 

8o5  9 

8o55< 
8o565 

i  o  .  i  9496 
19481 
19466 

19435 

9- 

91868 
9,893 
919,9 
9,945 
9'97 

17  Iio.o8i3 
18    08,0 
i  8    0808 
i  8    o8o5 
1  9  1   080 

°'!!37^ 
n385 
ii395 
u4o€ 

7 
7 
7 
7 
8 

0.88636 
88626 
886,5 
886o5 
88594 

45  6  42 

47   4i  4 
48   4  1  3 
49   4i  2 

s 

18  o 
18  8 
18  16 
18  24 
18  32 

9.8o5«c 
8o59< 

806  K 

8o6a£ 

8o64 

\ 

10.  i942c 

i939c 

i9375 

9- 
9 

9202; 
9204*: 
9207. 
9209C 
9212' 
92  1  5( 

92I7( 

9220 
9222 

19  10.0800-; 
20    0797 
20    079 

21     079 
21     079 

Il42" 

ii43- 
1  1  44£ 
ii45^ 

8 
8 
8 
8 
9 
9 
9 
9 
9 
9 

10 
10 
10 
IO 
10 
10 

Dif 

9.88584 
885v3 
88563 
88552 
88542 

DOC: 

5o  6  4i  2 
5i    4i  i 
52   4i 

53    4o  5 
54   4o  4 

5 

1  8  4< 
18  48 
18  5t 
19  L 
19  i; 

9.8o65( 
8067 
>   8o68( 
8070 
807,  ( 

io.i934^ 

1932C 
1  93  1  L 
I929C 

1928^ 

io.  i926c 
1  92  5; 

I923f 

1922, 
1920? 
1919 
f.  Secant. 

_..            — 

A 

)  21  10.0787^ 
)  22     0785i 
)  22     0782^ 

i  23    0779* 
7  23    0777^ 

10.  I 

>    ii 
n 

!    i 
i    n 

4«S 
47? 

49< 
So 
5  1 
52: 
53: 
54 
55 
50. 
[57 

^IMlt 

8852. 
885io 
88499 
88489 

55  6  4o  4 
56   40  3 
57   4c>  2 
58   4o  i 
5.;    4o 
60    4o 

5 

19  2C 
19  2£ 

19  3( 
19  4^ 
19  5 

20   < 

>  91.8073 
>   8074 
>   8076 
i   8077 
i   8079 
5   8o8c 

i 
3  ,4 

2   15 

7  i- 

2   if 

7  1^ 

9  9225 
9227 
9230 
9233 
9235 
9238 

Cotangei 

— 

B 

3  24  10.0774' 
^  24   0772 
4  a4   0769^ 
D  2  5   O767( 
5  25    0764^ 
i  26   0761  ( 
—  v—  •  —  l  —  ~-  " 
t'Diff.'  Tangent 

B 

1  10.  I 

i 
)    i 

)    i 
i    i 

?  L 

Cose 

~~~c 

9.00470 
88468 
88457 
88447 
I  88436 
!  88425 

'.  Sine. 
••*• 

C 

1V1  Hour  P. 

He 

>ur  A.M 

.  Cosine.  L)  t 
\     —  t 

A 

Seconds  of  time  

!• 

%2- 

3s   4s 

io   i3 
4   5 

5* 

10 

16 

7 

6s 

12 

8 

7' 
1  3 

23 

9 

(A 
Prop,  parts  of  cols.  1  B 

\  C 

2 

3 
i 

4 
6 
3 

S'. 
40' 
M 

O 

y 

3 

5 
6 

-7 

8 
9 

!  0 
1  1 
I  2 

13 

1  4 
i5 

16 
17 
18 
'9 

TABLE  XXVII.                P****3 

Log.  Sines,  Tangents,  and  Secants.               ** 
A        A      B         B      C        C  139° 

Hour  A.M. 

6  4o  o 

39  52 
39  44 
39  36 
39  28 

Hour  P.M. 

Sine. 

Diff.  Cosecant. 

Tangent. 

Diff.jCotangent 

Secant. 

Diff.  Cosine 

31 

5  20  c 

20   8 
20  l6 
20  24 
2O  32 

9.80807 
80822 
8o837 
8o852 
8o867 

O 

0 

o 
I 

10.19193 
19.78 
19.63 
19148 
i9i33 

9.92.381 
92407 
92433 
92458 

92484 

o 
o 

I 
I 

2 

10.07619 

07593 
o7567 
o7542 
o75i6 

io.u575 
n585 
1  1596 
11606 
11617 

0 
0 
0 

9.88425 
88^.5 
884o4 
88394 
88383 

6c 

3 

5" 
55 

6  39  20  5  20  4o 
39  12;   20  48 
39  4;   20  56 
38  56!   21  4 
38  40   21  12 

9.80882 
80897 
80912 
80927 

80942 

I 
I 

2 
2 

2 

10.191  iy 
19.08 
19088 
I9073 
I9o58 

9.92510 
92535 
92561 
92.587 
926.2 

2 

3 
3 
3 
4 

10.07490 
o7465 
o7439 
o74i3 
o7388 

10.11628 
1  1  638 
ii649 
11660 
1  1670 

I 

2 

9.  88372 
88362 
8835. 
8834o 
8833o 

55 
54 
53 

52 

5i 

6  38  4o 
38  32 
38  24 
38  16 
38  8 

5  21  20 
21  28 
21  36 

21  44 

21  52 

9.8095-7 
809-72 
8098-7 

81002 
8ioi7 

2 

3 
3 
3 
3 

10.  .9043 
19028 
190.3 
18998 
18983 

9.92.638 
92663 
92.689 
92715 

92.7'io 

4 

5 
6 
6 

io.o7362 
o7337 
o73.i 
o7285 
0-7260 

10.  11681 
11692 

II702 

n7i3 

11-724 

2 
2 
2 

2 

9  883i9 
883o8 
88298 

88287 
88276 

5o 

49 

48 

47 

46 

6  38  o 
37  52 
37  44 
37  36 
37  28 

5  22   0 
22   8 
22  l6 
22  S.4 
22  32 

9.81032 
8  1  04-7 
81061 
8io76 
81091 

4 
4 
4 
4 
5 
~ 
5 
5 
6 
6 

10.18968 
i8953 
.8939 
18924 
18909 

9-92766 

92792 

928.7 

92843 
92868 

6 

8 
8 

10.07234 
07208 
o7.83 

o7.57 

07l32 

10.  i  i734 
II745 

n756 
11766 

11777 

3 
3 
3 
3 
3 

9.88266 
88255 
88244 
882.34 
88223 

45 
44 
43 

42 

4i 

20 
21 
22 
2.3 
24 

6  37  20 

37  12 

37  4 
36  56 
36  48 

5  22  40 
22  48 
22  56 

23  4 

23  12 

9.81106 
81121 
8n36 
8n5i 
81166 

10.18894 
188-79 
18864 
18849 
1  8834 

9.92.894 

9292O 

92945 

92971 
92996 

9 
9 
9 

10 
IO 

I  O  .  O7  1  06 

0-7080 
o7o55 
0-7029 
0-7004 

10.11788 
11799 
11809 
11820 
u83i 

4 
4 
4 
4 
4 

9.88212 
88201 
8819- 
88180 
88169 

4o 

33? 

37 
36 

25 
26 

27 

a8 

29 

6  36  4o 
36  32 
36  24 
36  16 
36  8 

5  23  20 
23  28 

23  36 
23  44 

23  52 

9.81  180 
81195 
81210 
81225 
81240 

6 
6 

7 
7 
7 

10.18820 
i88o5 
18790 
i8775 
18760 

9.93022 
93o48 
93o73 

93°99 
93  1  24 

i  . 
1  1 

12 
k 
I  2 

io.o6978 
o6952 
0692-7 
06901 
o6876 

10.  i  1842 
11862 

1  1  863 
11874 
1  1  885 

4 
5 
5 
5 
5 

9.88i58 
88  1  48 
88i37 
88  1  26 
88  \i'j 

35 
34 
33 

32 

3i 
3o 

11 
27 
26 

3o 

3i 
32- 
33 
34 

6  36  o 
35  52 
35  44 
35  36 
35  28 

5  24  o 
24  8 
24  16 
24  24 
24  32 

9.812.54 
81269 
81284 
81299 
8i3i4 
9.81328 
8i343 
8i358 
8i372 
8  1  387 

7 
8 
8 
8 
8 

10.18746 
i873i 
18-7.6 
18701 
18686 

9.93.50 
93.75 

932.OI 
93227 
93252 

.3 
i3 

i4 
i4 

i4 

io.o685o 
06825 
o6799 
o6773 
06748 

10.  i  1895 
11906 
11917 
11928 
ii939 

5 
6 
6 
6 
6 

9.88io5 

88094 
88o83 
8807  * 
88c6i 

35 
36 

37 
38 
39 

6  35  20 
35  12 
35  4 
34  56 

34  48 

5  24  4o 
24  48 
24  56 
•?5  4 

25  12 

9 

9 
9 
9 

10 

10.  18672 
1  8657 
18642 
18628 
i86i3 

9-93278 
933o3 
93329 
93354 
9338o 

.5 
i5 
16 
16 

'7 

1O.06722 

0669-7 
o667i 
06646 
06620 

10.  1:949 
1  1960 
11971 
11982 
11993 

8 

7 
7 
7 

9.8806  i 
88o4o 
88029 
88018 
88007 

25 

24 

2.3 

22 
2  1 
2O 

'9 

18 

17 
1  6 

4o 

4i 
4a 

43 
44 

6  34  4o 
34  32 
34  24 
34  16 
34  8 

5  25  20 
25  28 

25  36 

25  44 

25  52 

9.8^402 
8i4i7 
8i43i 
8r446 
81461 

10 
10 

10 

1  1 
1  1 

10.18598 
i8583 
18569 
i8554 
i8539 

9  .  93406 
9343, 
93457 
93482 
935o8 

17 
17 
18 
18 
'9 

io.o6594 
o6569 
o6543 
o65i8 
o6492 

10.12004 

I20l5 
12025 

I2o36 
12047 

7 
7 
8 
8 
8 

9.87996 
87985 
87975 
87964 
87953 

45 
46 

47 
48 

49 

6  34  o 
33  52 

33  44 
33  36 
33  28 

5  26  o 
26  8 
26  1  6 
26  24 
26  32 

9.8i475 
81490 
8i5o5 
8i5.9 
8  1  534 

1  1 
1  1 

12 
12 

:  2 

io.i8525 
i85io 
18495 
18481 
1  8466 

9.93533 
93559 
93584 
o36  .  o 
93636 

'9 

20 
20 

20 
21 

io.o6467 
o644< 
o64i6 
o639o 
o6364 

10.  i  2o58 
12069 
12080 
12091 

12.02 

8 
8 
8 
9 
_9_ 

9 
9 
9 

10 
10 

IO 

10 

10 
10 

II 

II 

9-8794? 
8793i 
87920 

87909 

8-7898 

i5 
14 
[3 

12 
I  1 

5o 

5i 

52 

53 

54 

6  33  20 
33  12 
33  4 
32  56 
32  48 

5  26  4o 
26  48 
26  56 

27   4 
27  12 

9.8.549 
8  1  563 
8i578 
8i592 
81607 

I  2 

i3 
i3 
i3 
i3 

10.  i  845  i 
i8437 
18422 
18408 
18393 

9.93661 
93687 
98712 
93738 
93763 

21 
22 
22 
23 
23 

io.o6339 
o63.3 
06288 
06262 

0623-7 

10.  12.  l3 

12  I  23 

'  J2i34 
12145 
I2i56 

9.87887 
87877 
87866 
8-855 
87844 

1  O 

9 
8 

7 
6 

-? 

4 
3 

2 
I 
O 

55 
56 
'">7 
58 
59 
bo 

6  32  4o 

32  32 
32  24 
32  16 

32  8 

32   0 

5  27  20 
27  28 
27  36 

27  44 

27  52 

28  o 

9.81622 
8  1  636 
8.65i 
8]665 
8.680 
8169,1 

i4 
i4 
i4 
i4 
i5 
i5 

io.i8378 
1  8  364 
18349 
i8335 
i832o 
i83o6 

9.93789 
938.4 
9384o 
93865 

93«9' 
939i6 

23 

24 

24 

25 
25 

26 

10.0621  i 
06186 
06.60 
o6i35 
06109 
06084 

10.  12167 

12178 

12189 

12200 
I22II 
12222 

9.87833 
87822 
8-811 
87800 
87789 
87778 

M 

Hour  P.M.J  Hour  A.M. 

Cosine 

Diff.  Secant. 

Cotangent 

Diff.  Tangent. 

Cosecant. 

Dift   Sine. 

M 

KU)° 


A                    A 

B 

] 

B 

t 

Seconds  of  time 

Is 

2s 

3R 

4' 

5" 

6" 

7* 

- 

F~ 

Prop,  parts  of  cols.  <   B 
(  C 

2 

3 

4 
6 
3 

6 

IO 

A 

7 

it  3 

5 

9 
,6 

7 

I  I 

'9 
8 

13 

22 
« 

C      49° 


page  zan                 TABLE  XXVII 

Log.  Sines,  Tangents,  and  Secants. 
41°               A        A      B         B      C 

0 
C  138 

Cosine.  M 

M 

0 

i 

2 

3 

4 

5 

6 

8 

our  A.M.  1 

-iourp  M. 

Sine.  I 

Kff. 

Cosecant. 

'angent. 

(T. 

Cotangent 

Secant. 

)iiV. 

6  32  c 
3i  5a 

3i  44 
3i  36 
3  1  28 

5  28  o 
28  8 
28  16 

28  24 

28-32 

.81694 
81709 
81723 
81738 
81752 

0 
0 

o 

c.i83o6 
18291 
18277 
18262 
18248 

9.93916 
93942 
93967 
93993 

940  1  8 

o 
o 

I 
I 

2 

0.06084 
o6o58 
o6o33 
06007 
05982 

0.12222 
12233 
12244 
12255 

12266 

o  9 
o 

0 

ll 

.87778  60 
87767  59 
87756  58 
87745  57 
87734  Sc 

6  3i  20 

3l  12 

3i  4 
3o  56 
3o  48 

5  28  40 
28  48 
28  56 
29  4 

29  12 

.81767 
81781. 
81796 
81810 
81825 

I 
I 

2 
2 
2 

c.i8233 
18219 
18204 
18190 
18175 

9.94044 
94069 
94096 
94120 
94  1  46 

2 

3 
3 
3 
4 

0.05956 
o593i 
05905 
o588o 
o5854 

0.12277 
12288 

12299 

I23lO 
12321 

1 

I 
I 
I 

2 

).  87723  55 
87712  5^ 
87701  53 
87690  & 
87679  5 

I  2 

i3 
i4 

6  3o  4o 
3o  32 
3o  24 
3o  16 
3o  8 

5  29  20 

29  28 

29  36 

29  44 
29  52 

.8i839 
8i854 
81868 
81882 
81897 

2 
3 

3 
3 
3 

o.  18161 
18146 
i8i32 
18118 
i8io3 

9.94171 
94197 
94222 
94248 
94273 

4 
5 
5 
6 
6 

10.05829 
o58o3 
o5778 
o5752 
05727 

0.12332 

12343 
12354 
12365 
12376 

2 
2 
2 
2 
3 

3.87668  5t 
87657  4< 
87646  4J 
87635  4- 
87624  4< 

i5 
if 

18 
19 

6  3o  o 
29  52 
29  44 
29  36 
29  28 

5  3o  o 

3o  8 
3o  16 
3o  2^ 
3o  32 

.81911 
81926 
81940 
8i955 
81969 

4 
4 
4 
4 
5 

10.18089 
18074 
18060 
i8o45 
i8o3i 

9- 

94299 

94324 

9435o 
94375 
94401 

6 

7! 

8 

8 

10.05701 
o5676 
o565o 
o5625 
05599 

0.12387 
12399 

12410 
12421 

12432 

3 
3 
3 
3 
4 

9.876i3  4 
87601  4 
8759o  4 
87579  4 
87568  4 

20 

21 

6  29  20 

29  12 

29  4 
28  56 
28  48 

5  3o  4« 
3o  48 
3o  56 
3i  4 

3l  12 

9.8i983 
8,998 
82012 
82026 
82041 

5 

c 

c 
K 

6 

10.  18017 
18002 

17988 
17974 
17959 

9.94426 
94452 
94477 
945o 
94528 

8 
9 
9 

10 

10 

o.o5574 
o5548 
o5523 
05497 
05472 

0.12443 
12454 
12465 
12476 
12487 

4 
4 
4 
4 
4 

9.87557  4 
87546  3 
87535  3 
87524  3 
875i3  3 

2£ 

26 

28 
29 

6  28  4o 
28  32 
28  24 
28  16 
28  8 

5  3i  20 
"3  1  28 
3i  36 
3i  44 
3i  52 

9.82055 
82069 
82084 
82098 

821  12 

b 
6 
6 

7 

10.17945 
17931 
17916 
17902 
17888 

9 

94554 
9457 
946o 
9463 
9465 

II 

1  1 
II 

12 

12 

io.o5446 
0542 
c53o6 
05370 
o534 

10.12499 

I25lO 
I252I 
12532 

12543 

b 
5 
5 
5 
5 

9.875oi  3 
87490  3 

87479  3 
8746S  ? 
87457  2 

!o 
o 

k2 

3 

6  28  o 
27  52 
27  44 
27  36 
27  28 

5  32  o 
32  8 
32  16 

32  24 
32  32 

9.82I2& 
82l4l 
82155 

82«69 

82184 

7 

8 
8 
8 

10.1787-1 
17859 
1784 
i783 
178.6 

9 

.9468 
9470 
9473 
9475 
9478 

i3 
i3 
M 

i4 
i4 

io.o53i 
0529 
0526 
o524 

O52I 

10.12554 
12566 
12577 
12588 
12599 

b 
6 
6 
6 
6 

7 

7 
7 
7 
7 

9.8744^  - 

87434  5 

87423  : 
874i2  : 
874o\  : 

36 
3 
3 
3 

6  27  20 

27  12 

27  4 
26  56 
26  48 

5  32  4f 
32  48 
32  5( 
33  4 
33  i 

9.82198 
82212 
82226 
82240 
82255 

8 
9 
9 
9 

9 

10.  1780 

1778 

1777 
1776 

1  774 

9 

.948o 
9483 
9485 
9488 
9491 

i5 
i5 
16 
16 

17 

10.0519 
o5i6 
o5i4 
o5u 
oSog 

IO.I26lC 

12622 
12633 

12644 
12655 

9.8739c  : 

8737S  c 
8736->  : 
87356  : 
87345  : 

4 
4 
4 
4 

4 

6  26  4o 

26"  32 

26  24 
26  16 
26  8 

5  33  2( 
33  28 
33  3 
33  4 
33  5 

9.82269 
82283 
82297 
823i 
82326 

10 

10 
10 
10 
10 

10.1773 

1771 
1770 
1768 
1767 

9 

.9493 
949" 
9498 
95oi 
95o3 

17 
17 
18 
18 
19 

io.o5o6 
o5o3 
o5or^ 
0498 
0496 

10.12666 
12678 
12685 

I270C 

12712 

7 
8 
8 
8 
8 

~8 
9 
>  9 
'  9 
-9 
>  9 
i  10 

10 

1  10 

)  10 
)  10 

1  10 

f  11 

)  II 
11 

1  II 

.  Diff 

9.070^4  • 

87322 

8?3n 

87300 
87288 

9-87277 
87266 
87255 
87243 
87232 

9.87221 
87209 
87.98 
87187 
87175 
o  87  i  64 

4 
4 
4 
4 
4 

6  26  o 

25  52 

25  M 
25  36 

25  2fi 

5  34 
34 
34  i 
34  2 
34  3 

9.8234< 
82354 
8236£ 
82389 
82396 

II 

II 

II 
II 

12 

10.1766 
1764 
i763 
176. 
1760 

9.95o6 
9508 

9f» 

95i3 

95i6 

19 
20 
20 
20 

21 

10.0493 
0491 
o488 
o486 
o483 

ic  1272, 

1273^ 

I274? 

-275- 

1276* 

5 
5 

6  25  2C 
25  12 
25   4 

-  24  X 
24  4£ 

5  34  4 
34  4 
34  5 
35 
35  i 

9.82.4^ 
8242^ 
8243S 
8a45: 
8246- 

9.8248 
8249^ 
8a5oc 
8252' 
8253- 
8255 

12 
12 
)   12 

i3 
i3 

10.1759 

1757 
i756 
i754 
i753 

9.95i9< 
9^' 
9524 
9526! 
9529 

21 
22 
22 
3.  22 
,   23 

10.  < 

< 

< 

c 
( 

>48i 
5478 
5476 
3473 
3470 
3468 
^465 
3463 
3460 
3458 
3455 

igen 

10.1277^ 

1279 

1280; 

1281: 
1282? 

6c 

6  24  4c 
24  3i 

24  2^ 
24  l( 

24  * 
24  ( 

5  35  2 
35  2 
35  3 
35  4 
5   35  5 
)   36 

i3 

>  i3 
)  i4 
i4 
i  i4 
i4 

T\:a 

to.  1751 

i75o 
1749 
1747 
1746 
1744 

9.9531 
9534 
9536 
9539 
954i 
9544 

Cotaiifren 

7  23 

2  24 

3  24 
3  25 

3  25 
i  25 

t  Difl 

10.  < 

< 
( 
< 
( 
< 

.  Tar 

IO.  I20JI 

1284- 

I285C 

I287C 

1288 
1289: 

Cosecant 

8-  1  53 
87141 
87130 

87119 

87107 

]~Sinc. 

131° 

A        A 

•  • 
Seconds  of  time  

1s 

B 

2' 

4 
6 
3 

3s 
5 

10 

4 

4« 

7 
i3 
6 

B 
,V 

9 
16 

7 

6' 
ii 

'9 
8 

7s 

12 
22 
irs 

C   4ff 

1 

_j 

(A 
Prop,  parts  of  cols.  <  B 
f  C 

2 

3 

T 

TABLE  XXVII.                Lr»s«3W 

LOOT.  Sines,  Tangents,  and  Secants. 
••12°               A        A      B        B      C        C  137° 

iii 

Hour  A.M.  ,Hour  P.M.   Sine.  ;DifF. 

Cosecant. 

Tang-ent.  JDiff. 

Cotangent 

Secant.  Diff.  Cosine. 

M 

u 

1 

7: 

5 

3 

9 
u 

a 
3 

i 

6  24  o 

23  52 

23  44 
23  36 

23  28 

1  5  36  o 
36  8 
36  1  6 
36  24 
36  32 

9.8255I 
82565 
82579 
82593 
82607 

0 
0 
0 

I 
I 

10.  17449 
17435 
17421 
17407 
i7393 

g-95444 
95469 
95495 
95520 
95545 

0 

I 
1 

2 

10  ,o4556 
o453. 
o45o5 
o448o 
o4455 

10.  12893 
12904 
12916 
12927 
i2938 

o 

0 

o 
i 

i 

9.871  07 
87096 
87085 
87o73 
87062 

bo 
69 
58 
67 
561 

55 
54 
53 
62 
5t 

G  23  20]  5  36  4o 
23  12!   36  48 
23  4i   36  56 
22  56   37  4 
22  48   37  12 

9.82621 
82635 
82649 
82663 

82677 

I 
I 

2 
2 
2 

2 

3 
3 
3 
3 

10.  17379 
i7365 
i735i 
i7337 

9.95571 
95596 
95622 
95647 

2 
3 

3 
3 
4 
4 
5 
5 
5 
6 

10.04429 

o4378 
04353 
o43s  8 

10.  12960 
12961 

12972 

12984 

12996 

i 

i 
i 

2 
2 
2 
2 
2 
3 

3 

9  .  87u5o 
87039 
87028 
87016 
87006 

6  22  4o 
2.2  32 
22  24 
22  16 
22   8 

5  37  20 
37  28 
37  36 
37  44 
37  52 

9.82691 
82705 
82719 
82733 

82747 

lo.  17309 
17295 
172.81 
17267 
i7p.53 

9.95698 
96723 
95748 
95774 
95799 

io.o43o2 

04277 
04  2  5  2 
04226 
04201 

10.  i3oo7 
i3oi8 
i3o3o 
i3o4i 

i3o53 

9.86993 

86982 
86970 
86969 
86947 

5o 

49 

48 

47 

46 

1  5 
16 

17 
i8 

!9 

f>  22   0 
21  52 

21  44 
21  36 

21  28 

5  38  o 
38  8 
38  1  6 
38  24 
38  32 

9.82761 
82775 
82788 
82802 
82816 

3 
4 
4 
4 
4 

10.17239 
1722.5 
17212 
17198 
17184 

9.95825 
9585o 
95875 
96901 
96926 

6 
7 
7 
8 
8 

10.04176 
04160 
04126 
04099 
04074 

10.  i3o64 
i3o-6 
i3o87 
13098 
1  3  1  1  o 

3 
3 
3 
3 

4 

9.86936 
86924 
869  1  3 
86902 

86890 

45 
44 
43 

42 

4r 

20 

21 
22 

2.3 

2.4 

6  21  20 
21  12 
21   4 

20  56 
20  48 

5  38  4o 
38  48 
38  56 
39  4 

39  12 

9.82830 
82844 
82858 
82872 
82885 

5 
5 
5 
5 
6 

i  o  .  i  7  i  70 
17166 
17142 
17128 
17115 

9.96962 

95977 
96002 
96028 
96o53 

8 
9 
9 

10 
10 

io.o4c>48 

03998 
03972 
03947 

IO.  l3l2  I 

i3.33 
i3i45 
i3i56 
y3i68 

4 
4 
4 
4 
5 

9.86879 
86867 
86855 
86844 
86832 

4o 
39 
38 

37 
36 

35 
34 
33 

32 

3i 

A] 
3  1 

33 

J3 
34 

6  20  4o 

2O  32 
20  24 
20  l6 
20   8 

5  39  20 
39  28 
39  36 
39  44 
39  52 

9.82899 
82913 
8292.7 
82941 
82955 

6 
6 
6 
6 

7 

10.  17101 

17087 
I7o73 
17069 

17045 

96104 
96129 
96166 
96180 

u 
1  1 
1  1 

I  2 
12 

10.03922 
o3896 
03871 
o3845 

o382o 

10.  i3i79 
13191 

l3202 

i3ai4 

13225 

5 
5 
5 
5 
6 

6 
6 
6 

7 

9.86821 
86809 
86798 
86786 
86776 

6  20   0 

19  52 
19  44 
19  36 
19  28 

5  4o  o 
4o  8 
4o  16 
4o  24 
4o  32 

9.82968 
82982 
82996 
83oK» 
83o2.3 

7 
7 

8 
8 

10.  17032 
17018 
17004 
16990 

16977 

9.96206 
96231 
96266 
96281 
963o7 

i3 
1  3 
i4 
i4 
i4 
i5 
16 
16 
16 
16 

17 
17 
18 
18 
19 

10.03-95 
o3769 
o3744 
03719 
o3693 

1  3  260 

l3272 

i3283 

9.86763 
86762 
86740 
86728 
867.7 

3o 
29 

28 

27 
26 

35 
36 

37 

38 
39 

619  20 

19  12 

19  4 
1  8  56 
18  48 

5  4o  4o 
4o  48 
4o  56 
4i  4 
4i  12 

9.83o37 
83o5  1 
83o65 
83o78 
83092 

8 
8 
8 
9 
9 

9 
9 

IO 

IO 
IO 

10.16963 
16949 

16935 

16922 

1  6908 

9.96332 
96357 
96383 
96408 
96433 

io.o3668 
o3643 
o36i7 
03692 

10.13296 
i33oo 
i33i8 
i333o 
1  334  1 

7 
7 
7 

8 

9.86706 
86694 
86682 
86670 
86669 

2.5 

2.4 

23 
22 
21 

4<> 
4f 

43 

44 

6  18  4o 
18  32 
18  24 
18  16 
18  8 

5  4  1  20 
4i  28 
4i  36 
4i  44 
4i  52 

9.83io6 
83  1  20 
83  1  33 

83^7 
83i6i 

10.  16894 

16880 
16867 

16853 
i6839 

9  .  96469 
96484 
96610 
96535 
96660 

io.o354i 
o35i6 
03490 
o3465 
o344o 

io.i3353 
i3365 
i3376 
1  3388 
i34oo 

8 
8 
8 
8 
8 

9.86647 
86635 
8662.4 
86612 
86600 

2O 
j  O 
I  O 

17 

16 

45 
46 

47 
48 

49 

6  18  o 

17  52 
17  44 
17  36 
17  28 

5  42  o 

42  8 
42  16 

42  24 

42  32 

9.83i74 
83t88 

83202 

832  1  5 
83229 

10 

II 
II 
11 
II 

10.  16826 
16812 

16798 
i6785 
16771 

9.96686 
96611 
96636 
96662 
96687 

'9 

'9 

20 

20 
21 

io.o34i4 
o3389 
o3364 
o3338 
o33i3 

10.  i34i  i 
1  3423 
1  3435 
1  3446 
1  3458 

9 
9 
9 
9 
9 

9.86689 
86677 
86565 
86554 
86542 

i5 
i4 

12 
II 
10 

I 

"7 

6 

5ci 
5( 

52 

53 
54 

6  17  20 

17  12 

17  4 
16  56 
16  48 

5  42  4o 
42  48 
42  56 
43  4 
43  12 

9-832.42 
83256 
8327o 
83^83 

II 

!2 
12 
12 
12 

io.i6758 
i6744 
i673o 
16717 
16703 

9.96712 

96733 
96763 
96788 
96814 

21 
22 
22 
22 
23 

io.o3288 
03262 
o3237 

03212 

o3i86 

10.  i347o 
13482 

!35o5 
i35i7 

10 
IO 
IO 
IO 
IO 

9-8653o 
865  18 
86607 
86496 
86483 

55 
56 

57 

60 

6  16  4o 
16  32 
16  24 
16  16 
16  8 
16  o 

5  43  20 
43  28 
43  36 
43  44 
43  52 
44  o 

9-833io 
83324 
83338 
8335i 
83365 
833-8 

Cosine. 

13 

i3 
i3 
i3 

i4 
i4 

10.16690 
16676 
16662 
16649 
1  663  5 
16622 

9.96839 
968154 
96890 
96916 
96940 
96966 

2.3 
24 
24 
25 
25 
25 

io.o3i6i 
o3.36 
o3  1  1  o 
o3o85 
o3o6o 
o3o34 

io.i3528 

i354o 
1  3552 
1  3564 
i3575 

i3587 

II 
II 
II 
II 
II 

12 

9  .  86472 
8646o 
86448 
86436 
86426 
864  1  3 

5 
4 
3 

2 
I 

O 

M 

M 

Hour  p.m. 

Hour  A.M. 

Diff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Cosecant. 

Diff.  Sine. 

Seconds  of  time  

1S 

9* 

3s 

4° 

5s 

P)s 

7" 

p 

Prop,  parts  of  cols.  <  B 

1    r~\ 

2 

3 

3 
6 

5 

10 

7 
i3 

9 

16 

10 

19 

12 

22 

TABLE  XXVII. 
S' 

Locr.  Sines,  Tangents,  and  Secants. 

4'r      A   A    B      B    c      o  i; 

M<a 

G'. 

}f>° 

*! 

Hour  A.M.  IFonrp.M. 

Sine. 

Diff. 

Cosecant. 

Tangent. 

"9^6966 
96991 
97016 
97042 
97067 

iDiff. 

Cotangent 

Secant 

Diff. 

Collie. 

0 

I 

2 

3 

4 

616  o 
1  5  52 
1  5  44 
1  5  36 
1  5  28 

5  44  .  o 
44  8 
44  1  6 
44  24 
44  32 

9-83378 
83392 
834o5 
83419 
83432 

Q  "83446 
'  83459 
83473 
83486 
835oo 

o 
o 
o 

I 

I 

io.  16622 
16608 
i65v5 
i658i 
.  i  6568 

0 

o 

; 

2 

io.o3o34 
03009 
02984 
02958 
02933 

10.13587 
13599 
i36u 
,3623 
1  3634 

o 

0 
0 

9.8641  3 
86401 
86389 
86377 
86366 

1 
57 
5* 

5 
6 

7 

8 

10 

i  i 

12 

i3 

14 

6  1  5  20 

l5  12 

i5  4 
1  4  56 
i4  48 

5  44  4o 
44  48 
44  56 
45  4 
45  12 

! 

2 

2 

io.i6554 
1  654  1 
16527 

i65t4 
i65oo 

9.97092 

971.8 
97i43 
97168 
97193 
9.97219 
97244 
97269 
97295 
97320 

2 

3 
3 

3 
4 

10.02908 
02882 
02857 

02832 

02807 

to.  136^6 
1.3658 
1  3670 
1  368  2 
i3694 

2 
2 
2 
2 
2 
3 

3 

9.86354 
86342 
8633o 
863  1  8 
863o6 

55 
54 
53 

52 

5i 

6  i4  4o 
i4  32 
i4  24 
i4  16 
i4  8 

5  45  20 
45  28 
45  36 
45  44 
45  52 

9-835.3 
835a7 

8354o 
83554 
83567 

2 
2. 
3 

3 
3 

10.16487 

i646o 
1  6446 
i6433 

io.i64i9 
•  16406 
16392 
16379 
i6366 

4 
5 
5 
5 
6 

10.02781 
02756 

0273l 
027o5 

02680 

I  O.I  3705 

:37,7 
13729 
i374i 
i3753 

9.86295 
86283 
8627i 
86259 

86247 

5o 
49 
48 

47 

46 

ID 

16 

1  8 
'9 

20 
2  i 

22 

?6 

27 
28 
29 

3o 
3  1 
3  a 

33 
•34 
3  "> 
3ti 
I}/ 
38 
39 

4. 

4  a 
43 
44 

45 
46 

47 
48 

4? 
So 

5i 

54 

55 
56 
5? 
58 
'39 
So 

6  14  o 
i3  52 
i3  44 
i3  36 
i3  28 

5  46  o 
46  8 
46  1  6 
46  24 
46  32 

9-8358. 
83594 
836o8 
836?  i 
83634 

3 
4 
4 
4 
4 

9-97345 
97371 
9'396 
97421 
__  97447 
9.97472 
97497 

97548 
97573 

6 

7 

8 

8 
___. 

9 
9 

IO 
IO 

10.02655 
02629 
02604 
02579 
02553 

10.13765 

1  3777 
i3789 
i38oo 
i38i2 

3 
3 
3 

4 
4 

9.86235 
86223 
86211 
86200 
86188 

45 
44 
43 
42. 
4i 

6  i3  20 

1  3  12 

i3  4 
12  56 
12  48 

5  46  40 
46  48 
46  56 

47  4 

47  12 

9-83648 
8366  1 
83674 

83688 
837oi 

4 
5 
5 
5 
5 

10.  (6352 
16339 
i6326 
i63.2 
16299 

10.02528 
O25o3 

02477 
02452 

02427 

io.i3824 
i3836 
i3848 
i386o 
i3872 

4 
4 
4 
5 
5 

9.86176 
86.64 

86140 
86128 

4o 
39 
38 

37 
36 

6  12  4o 

12  32 
12  24 
12  l6 
12   8 

5  47  20 
47  28 
47  36 
47  44 
47  52 

9.83715 

83728 
8374i 
83755 
83768 

6 
6 
6 
6 
6 

10.16285 
16272 
16259 
16245 
16232. 

9.97598 
97624 
97649 
97674 
97700 

1  1 
1  1 
1  1 

12 
12 

10.02402 
o2376 
O235r 

02326 
02300 

io.  i  3884 
i3896 
1.3908 
13920 
i3932 

5 
5 
5 
6 
6 

9.86.16 
86104 
86092 
86080 
86068 

35 
34 

33 

32 

3i 

6  12   0 
II  52 

n  44 
K  36 
n  28 

5  48  o 
48  8 
48  16 
48  24 
48  32 

9.83781 
83795 
838o8 
83821 
83834 

7 

7 

7 
7 
8 

i  o.  16219 
16205 
16192 

16179 
16166 

9.97725 
97750 
97776 
9780  1 
97826 

13 

i3 
i3 
M 
r4 

10  02275 
02250 

02224 

02199 
02174 

10.13944 
i3956 
i3968 
1  398o 
13992 

6 
6 
6 

7 
7 

9.86o56 
86044 
86o3a 
86020 
86008 

3o 
29 
28 

27 
26 

6  II  20 
11  12 

ii  4 

io  56 

io  48 

5  48  4o 
48  48 
48  56 
49  4 
49  12 

9.83848 
8386. 
83874 

83887 
8390. 

8 
8 
8 
8 
9 

i  o  .  1  6  .  5  2 
i6i39 
16126 
i6u3 
16099 

9.9785, 
97877 
97902 
97927 
97953 

i5 
i5 
16 

16 
1  6 

'7 

18 

18 
'9 

I  0.02149 

O2I23 

02098 

02073 
02047 

io.i4oo4 
14016 
14028 
i4o4<> 

7 
7 

8 
8 

8 
8 
9 
9 

9.85996 
85984 
85972 
85960 
85948 

25 

23 
22 
21 

6  -o  4«> 

10  32 

io  24 
10  16 
io  8 

5  49  20 
49  28 
49  36 
49  44 
49  52 

9.839.4 
83927 
83940 
83954 
83967 

9 
9 
9 

10 
1C) 

io.  16086 
16073 
16060 
i6o46 
i6o33 

9.97978 
98003 
98029 
98o54 
98079 

iC.O2O22 
01997 

01971 
01946 
0192. 

io.  14064 
14076 
14088 

14112 

9.85936 

8  5924 
85912 
859oo 
85888 

2O 

II 

17 
.6 

6  io  o 
9  52 
9  44 
9  26 

6  9  20 

9  I2 

-   9  4 
8  56 
8  48 

5  5o  o 

5o  8 
5o  16 
5o  24 
5o  32 

9.83980 
83993 

84006 

84020 

84o33 

10 

10 

to 
1  1 
1  1 

io.  .6020 
16007 
i5994 

1  5980 
1  5967 

9  .  98  i  o4 
98i3o 
981  55 
98.80 
98206 

'9 
«9 

20 
20 
21 

10.0.896 
01870 
01845 
Ol820 
01794 

io.  14124 
i4i36 

9 
9 
9 

10 
10 

9-85876 
85864 
8585  1 
85839 
85827 

i5 

i4 
i3 

I  2 
I  I 

5  5o  4o 
5o  48 
5o  56 
5i  4 

5.   12 

9.84046 
84059 

840T3 

84od5 
84098 

I  I 
1  1 

12 
I  2 
12 

IQ.  i5954 
i594« 
1  5928 
i59.5 

l59O2 

9.982.31 
98256 
98281 
983o7 
98332 

21 
22 
22 
22 
23 

10.01769 
0.744 
01719 
01693 
01668 

io.i4i85 

14209 
14221 

10 
IO 
IO 

II 
II 

9.858i5 
858o3 

85779 
85766 

IO 

7 
6 

6  8  4o 
8  32 
8  24 
8  16 
8  8 
8  o 

5  5.  20 
5  1  28 
5  1  36 
5  1  44 
5.  52 

52   0 

9.84i  12 

84i38 
84  1  5  1 
84  1  64 
84i77 
Cosine. 

1  2 
12 

i3 
i3 
i3 
i3 

io.i588S 
i5875 
1  5862 
i5849 
1  5836 
1  5823 

9.98357 
98383 
98408 
98433 
9845S 
98484 

23 

24 
24 

^ 

25 

IO.OI643 
Ol6l7 

01567 
oi542 
oi5i6 

10.14246 

14270 
14282 

14294 
i43o7 

II 
11 
II 

12 
12 
12 

9.85754 
85742 
8573o 
8.5718 
85706 
85693 

5 
4 
3 

2 

I 
0 

Ti 
46° 

M 

Hour  P.M. 

Hour  A  .  M  . 

Diff. 

Secant. 

Cotangent 

Diff. 

Tangent. 

Cosecant. 

Diff. 

Sine. 

I*} 

A        A      B         B      C        C 

Seconds  of  time  

1- 

* 

3" 

4- 

2 

6" 

7' 

f  A 

2 

3 

5 

7 

8 

10 

12 

Prop-  parts  of  cols.  <J  B 

3 

6 

9 

1  3 

16 

'V 

22 

r 

2 

3 

5 

6 

8 

Q 

11 

TABLE  XXVII.                 Vasea39 

Log.  Sines,  Tangents,  arid  Secants. 
44°               A        A      B        B      l1        C  135- 

M 

[f  CUr  A.M. 

6~8  o 

7  52 
7  44 
7  36 
7  28 

Hour  P.M. 

~5~52  ~o" 
52  8 
52  16 

52  24 
52  32 

Sine.  JDiff.j 

Cosecant. 

Tangent. 

Dff. 

Cotangent 

Secant. 

Dff. 

o 

0 

o 

Cosine. 

I\l 

60 

5? 

5? 

56 

o 
i 

2 

3 
4 
5 
6 
7 
8 
9 

10 

1  1 

12 

i3 
i4 

9-84177 
84190 
84203 
84216 
84229 

0 

o 

0 

i 
i 

io.i5823 
i58io 
15797 

i5784 
1  577  1 

9.98484 
985o9 
98534 
9856o 
98585 

o 

0 

I 
I 

2 

io.oi5i6 
01491 
01  466 
o  1  44o 
oi4i5 

o.  i43o7 
i43i9 
1  433  1 
14343 
14355 

9.85693 
8568  1 
85669 
85657 
85645 

6  7  20 
7  12 
7   4 
6  56 
6  48 

5  52  4o 
52  48 
52  56 
53  4 
53  12 

9.84242 
84255 
84269 
84282 
84295 

i 
i 

2 
2 
2 

10.  1  5-?58 
i5745 
i573, 
16718 

1  5705 

9.98610 
98635 
98661 
98686 
987.1 

2 
3 

3 
3 

4 

10.01390 
0.365 
0.339 
o  1  3  1  4 
01289 

io.i4368 
i438o 
14392 

i44o4 

14417 

2 

2 

9.85632 
85620 
856o8 
85596 
85583 

55 
54 

53 

52 

5i 

6  6  4o 
6  32 
6  24 
6  16 
6  8 

5  53  20 
53  28 
53  36 
53  44 
53  52 

9.843o8 
843  21 
84334 
84347 
8436o 

2 

2 
3 

3 
3 

10.15692 
16679 
1  5666 
1  5653 
1  564o 

9.98737 
98762 
98787 
98812 
98838 

4 
5 

5 
5 
6 

io.oi9.63 
oi238 

012(3 

01188 

oi  162 

0.14429 
1  444" 
i4453 
i4466 
14478 

2 
2 
2 
3 
3 

9  8557  i 
85559 
85547 
85534 
855^2 

5o 
49 
48 
47 
46 

45 
44 
43 

4i 

4o 
39 
38 

37 
36 

i5 
16 
17 
18 

19 

20 
21 
22 
23 

24 

660 
5  52 
5  44 
5  36 
5  28 

5  54  o 
54  8 
54  16 
54  24 
54  32 

9-84373 
84385 
84398 
844  1  1 
84424 

3 
3 

4 
4 
4 

4 
5 
5 
5 
5 

10.  i5627 
i56i5 
i56o2 
i5589 
i5576 

9.98863 
98888 
989.3 
98939 
98964 

6 

1 
1 
8 
8 

10.01  i37 

0  I  I  I  2 
01087 
0!06l 

oio36 

10.  i449° 
i45o3 
i45i5 
i4527 
i454o 

3 
3 

4 
4 
4 

9.855io 
85497 
85485 
85473 
8546o 

9~.85448 
85436 
85423 
854n 
85399 

6  5  20 

5   12 

5  4 
4  56 

4  48 

5  54  4o 
54  48 
54  56 
55  4 
55  12 

9-84437 
8445o 
84463 
84476 
84489 

o.i5563 
i555o 
i5537 
i5524 
i55n 

9.98989 
990.5 
99040 
99o65 
99090 

8 
9 
9 

10 
10 

10.0101  . 

00985 
00960 
00935 
00910 

10.14552 
i4564 
i4577 
14589 
i46oi 

4 
4 
5 
5 
5 

25 
26 

^7 
28 
29 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 

3? 

4o 
4i 

4a 
43 
44 

6  4  4o 
4  32 
4  24 
4  16 
4  8 

5  55  20 
55  28 
55  36 
55  44 
55  52 

9.84502 
845  1  5 
84528 
8454o 
84553 

5 

6 
6 
6 

6 

10.15498 
1  5485 
1  5472 
i546o 
1  5447 

9.99.  i  6 
99i4i 
99166 

99.91 
99217 

1  1 
1  1 
1  1 

12 
1  2 

10.00884 
00859 
oo834 
00809 
00783 

10  146.4 
14626 
i4639 
1  465  . 
i4663 

5 
5 
6 
6 
6 

9.85386 

85374 
8536. 
85349 
85337 

35 
34 
33 

32 

3. 

3o 

29 

28 
27 
26 

6  4  o 
3  52 
3  44 
3  36 
3  28 

5  56  o 
56  8 
56  16 
56  24 
56  32 

9  84566 
84579 
84592 
846o5 
846.8 

6 

7 
7 
7 
7 

10.  1  5434 

1  542  1 

1  54o8 
i5395 
1  5382 

9.99242 
99267 
99293 
993-8 
99343 

.3 
.3 
i3 
i4 
t4 

10.00758 
00733 
00707 
00682 
oooSy 

10.14676 
i4688 

1  470  1 

i4?i3 

14726 

6 
6 

7 
7 
7 

9.85324 
853i2 
85399 

85-287 
85274 

6  3  20 

3   12 

3  4 
2  56 

2  48 

5  56  4o 
56  48 
56  56 
57  4 
57  12 

9.8463o 
84643 
84656 
84669 
84682 

8 
8 
8 
8 
8 

IO.  l537O 

i5357 
i5344 
i533i 
i53.8 

9.99368 
99394 
994.  9 
994J4 
99469 

ID 

i5 
16 
16 
.6 

io.oo632 
00600 
oo58. 
oo556 
oo53. 

io.i4738 
i4/5o 
i4763 
i4775 
14788 

7 
7 
8 
8 
8 

9.85.262 
85.?  5o 
85237 
85225 

852.2 

25 

23 
22 
2  I 

6  2  4o 

2  32 
2  24 
2   16 
2   8 

5  57  uo 
57  28 
57  36 
57  44 
57  52 

9.84694 
84707 
84720 
84733 
84745 

9 
9 

9 
9 
9 

io.i53o6 
15293 
1  5280 
i5267 
i5255 

9.99495 

99520 

99^45 
9957t 
99596 

1  7 
17 
18 
18 
'9 

io.oo5o5 
oo48o 
oo455 
oo43o 

oo4o4 

10.  14800 
i48.3 
14825 
i4838 
i485o 

8 
8 
9 
9 
9 

9.85200 
85i87 
85.75 
85.62 
85  1  5o 

2O 
19 

1  8 

'7 
16 

45 
46 
ii 
48 
49 

6  2   0 
52 

44 
36 
28 

5  58  o 
58  8 
58  16 
5o  24 
58  32 

9.84758 

8477" 
84784 
84796 
84809 

10 

10 
1C) 
10 

1  1 
1  1 
II 
1  1 
II 

12 

10.15^42 
15229 
1  52  1  6 
15204 
16191 

9.99621 
99646 
99672 
99697 
99722 

'9 
19 
20 

20 
21 

io.oo379 
oo354 
00328 
oo3o3 
00278 

10.  i4863 
i4875 
14888 
14900 
i49i3 

9 

10 
10 
10 
10 

9.85i37 
85.25 
85.12 
85  1  oo 
85o87 

i5 
1  4 

12 

.  . 

5o 
5i 
5-> 
53 
54 

6     20 
12 

i 

o  56 
o  48 

5  58  4o 
58  48 
58  56 
59  4 

59  12 

9.84822 
84835 

84847 
84860 
84873 

io.i5i78 
i5i65 
i5i53 
i5i4o 

l5l27 

9-99747 
99773 
99798 
99823 
99848 

21 
21 
22 
22 
23 

IO.OO25o 

00227 

OO2O2 

00177 

00l52 

10.  14926 
i4938 
i495. 
i4963 
14976 

IO 

1  1 
II 
1  1 
1  1 

9.85o74 
85o6a 
85c>4j 
85o37 
85o24 

6 

55 

56 
57 
58 
59 
60 

6  o  4o 

0  32 

O  2^ 

o  16 
o  8 

O   C 

5  59  20 
59  28 
59  36 
59  44 
59  52 
600 

9.84885 
84898 
849  1  1 
84923 
84936 
84949 

12 
12 
12 
12 
l3 

i3 

10.  i5i  i5 

l5l02 

i5cS9 
i5o77 
i5o64 
i5o5i 

9.99874 
99899 
99924 
99949 
99975 

IO.OOOOC 

23 

24 
24 

24 
25 
25 

10.00126 

00101 

00076 
oooSi 

00025 
00000 

10.14988 
1  5oo  i 
i5oi4 
i5oa6 
i5o39 
i5o5i 

1  1 

12 
12 
12 
12 
12 

y.  85oi2 

84999 
84986 
84074 
8496. 
84949 

* 

iM 

Hour  P  .M 

Horn  A  .M 

Cosine  |Diff 

Secant. 

Cotangent 

DiflT 

Tangent. 

Cosecant. 

Diff 

Sine. 

M 

134' 


C      45° 


Seconds  of  time  

1s 

23 

3' 

4s 

5s 

6° 

7" 

(A 

2 

3 

5 

p 

8 

10 

ii 

Prop,  parts  of  cols.  <  B 

3 

6 

9 

i3 

16 

'9 

22 

(c 

2 

3 

5 

O 

8 

9_ 

II 

Lat. 

TABLE    XXXII.                                   [Pa-sis 
Variation  of  the  Sun's  Altitude  in  one  minute  from  noon. 

Declination  of  a  different  name  from  the  Latitude. 

Lat 

0° 

n 

3° 

4° 

5° 

6° 

7° 

8° 

9° 

10° 

11° 

II 

n 

n 

n 

a 

a 

// 

n 
i4'o 

12.5 
II  .2 
1O.2 

a 

n 

ii 

0° 

i 

2 

3 

4 

28.1 

28.1 

22.4 

28,1 

22.4 
l8.7 

28.1 
22.4 
18.7 
16.0 

28.1 

22.4 
l8.7 

16.0 
14.0 

22.4 
I8.7 
l6.0 

i4.o 

12.5 

18.7 
16.0 
i4-o 

12.5 
11  .2 

i4.o 
12.4 

I  I  .2 
IO.2 

9-3 

12.4 

I  I  .2 
10.2 
9.3 

8.6 

ii  .1 

10.  I 

9.3 

8.6 
8.0 

IO.  I 

9.3 

8.6 

8.0 

7-4 

c° 

2 

3 

4 

A 

6 

7 
8 

9 

2  2..  4 
l8.7 
l6.0 

i4-o 
12.4 

l8.7 

16.0 
i4-o 
12.4 

II  .2 

l6.0 

i4-o 
12.4 

II.  2 
10.2 

i4-o 

12.5 
II  .2 
10.2 

9-3 

12.5 
II  .2 
10.2 
9.3 

8.6 

II  .2 
10.2 
9.3 

8.6 

8.0 

10.2 

9-3 
8.6 
8.0 

7-5 

9-3 
8.6 
8.0 

7-5 
7.0 

8.6 
8.0 
7-5 
7.0 
6.6 

8.0 
7-5 
7.0 
6.6 

6.2 

7-4 
7.0 
6.6 

6.2 

5.9 

7.0 
6.6 

6.2 

5.9 
56 

5 

6 

8 
9 

10 

ii 

12. 

i3 

i4 

ii  .1 

10.  I 

9.2 

8.5 
7-9 

10.  I 
9.3 

8.5 

7-9 
7-4 

9.3 

8.6 

7-9 

7-4 

6.9 

8.6 
8.0 
7-4 
6.9 
6.5 

8!o 

7-4 
7.0 
6.5 

6.2 

7-4 
7.0 
6.5 

6.2 

5.8 

7.0 
6.6 

6.2 

5.8 
5.5 

6.6 

6.2 

5  .6 
5.3 

6.2 

5.9 
5.6 
5.3 
5.o 

5.9 
5.6 

5.3 
5.o 
4.8 

5.6 
5.3 
5.o 
4.8 
4.6 

5.3 

4^8 
4.6 
4-4 

10 

ii 

12 

i3 
i4 

i5 

16 

17 
18 

19 

7-3 
6.8 
6.4 
6.0 

5-7 

6.9 
6.5 
6.1 

5-7 
5.4 

6.5 
6.1 
5.8 
5.5 

5.2 

6.1 
5.8 
5.5 

5.2 

4-9 

5.8 
5.5 

5.2 

5.o 

4-7 

5.5 

5.2 

5.o 
4.8 
4.5 

5.3 
5.o 
4.8 
4.6 
4.4 

5.o 
4.8 
4.6 

4-4 
4.2 

4.8 
4.6 
4.4 

4-2 

4.o 

4.6 
4-4 

4.2 

3'9 

4.4 
4.2 

3^9 

3.8 

4.2 

3!9 
3.8 
3.6 

Ie 

17 

18 
'9 

20 
21 
22 
23 
24 

5.4 
5.1 

4.9 
4.6 
4-4 

4*9 

4-7 
4.4 
4.2 

4-9 

4-7 
4.5 
4.3 
4  i 

4-7 
4.5 
4.3 

3^9 

4.5 
4.3 

4^o 
3  8 

4.3 
4.2 
4.0 
3.8 

3-7 

4.2 
4.0 

ft 

3.6 

4.0 

fe 

3.6 
3.5 

3  '.6 
3.5 
3.4 

3.8 
3.6 
3.5 
3.4 
3.3 

3.6 
3.5 
3.4 
3.3 

3    2 

3.5 
3.4 
3.3 

3.2 

20 
21 
22 
23 

3.5 
3.4 
3.3 

3.3" 

3.2 

3!o 
2.9 

3io 
2.9 

2.8 

25 
26 

27 
28 
29 

4.2 
4.0 

3.'5 

3^6 
3.4 

3.9 
3.8 
3.6 
3.5 
3.3 

3.8 
3.6 
3.5 
3.4 

3.2 

3.5 
3.4 
3.3 

3.2 

~37o~ 
2.9 

2.8 

2.7 

2.6 

3.4 
3.3 

3.2 

3io 

3!o 
2.9 

2.8 
2.8 

3!o 
2.9 

2.8 

2.7 

3-° 
2.9 

2.8 

2.7 

2.6 

25 
26 
27 
28 
29 

3o 
3i 

32 

33 

34 

3.4 
3.3 

3!o 
2.9 

3.3 

3.2 

2.9 

2.8 

3.2 

3!o 
2.9 

2.8 

3!o 
2.9 

2.8 

2-7 

3.o 

2.9 

2.8 

2.7 

2.6 

2.9 

2.8 

2.7 

2.6 
2.5 

2.8 

2.7 

2.6 
2.5 
2.5 

2.7 

2.6 
2.6 
2.5 

2.4 

2.7 

2.6 
2.5 

2.4 

2.4 

2.6 
2.5 
2.5 

2.4 

2.3 

2.5 
2.5 

2.4 

2.3 
2.3 

3o 
3r 

32 

33 
34 

35 
36 

37 
38 

39 

2.8 

2.7 

2.6 
2.5 

2.4 

2.7 

2.6 
2.5 
2.5 
2.4 

2.7 

2.6 
2.5 

2.4 

2.6 
2.5 
2.4 
2.4 
2.3 

2.5 
2.5 

2.4 

2.3 

2.5 
2.4 
2.3 
2.3 

2.4 

2.4 
2.3 
2.2 

2.4 

2.3 
2.2 
2.2 

2.3 
2.3 
2.2 

2.1 

2.3 
2.2 
2.2 
2.1 

2.2 
2.2 
2.1 
2.1 
2.0 

2.2 
2.1 
2.  I 

2.0 
2.0 

35 
36 
37 
38 
39 

4o 
4i 

42 

43 
44 

2.3 
2.3 
2.2 
2.1 
2.0 

2.3 
2.2 
2.1 
2.1 
2.0 

2.2 
2.2 
2.1 

.0 
.0 

2.2 
2.  I 
2  .  I 
2.0 

2.2 
2.1 
2.O 
2.0 

2.1 
2.1 

2.0 

•9 

2.  I 
2.0 
.0 

.0 

.0 
•9 

•89 

2.0 
1.9 

2.0 

•9 

3 

.7 

•9 

'.8 

•  7 

'6 

!a 

.7 

•  7 
.6 
.6 
6 

4o 
4i 

42 

43 
44 
45 
46 
47 
48 

49 

45 
46 
47 
48 
49 

2.0 

•9 

'I 

0 

1.0 

i  8 

1.8 

i  8 

.8 

.8 

.7 

•  7 
.7 

1-7 
i  .7 

,6 

6 

1.6 

.6 

6 

.8 

•  7 

•  7 
•  7 

•  7 

7 

lie 

.6 
.6 

.6 
.6 

.6 
.5 

1.6 

.6 
.5 

.5 
.5 

.5 
.5 

5o 

52 

54 
56 

58 

.6 

.6 

.6 
c 

1.6 

1.6 

.5 
/ 

4 

.5 

•  4 

i.b 

.5 

.4 

.4 

.4 

.4 

5o 

52 

54 
56 
58 

.4 
.3 

.2 

.4 
.3 

.2 

.4 

.2 

I  .2 

I  .2 

.3 

.3 

.2 

.3 

.3 

.2 

.2 

.2 

.1 

i  .1 

.1 

.1 

60 
62 
64 
66- 
68 
7° 

.0 
.O 
0-9 

0.8 
0.7 

.1 

.0 
0.9 
0.9 

0.8 
0.7 

.1 

.O 
0.9 
0.9 

0.8 
0.7 

I  .0 

0.9 
0.9 

0.8 
0.7 

3° 

I  .1 
1.0 

0.9 
0.8 
0.8 
0.7 

.1 

.0 
0.9 

0.8 
0.8 
0.7 

.1 
.0 

0.9 
0.8 
0.8 
0.7 

.0 

0.8 
0.8 
0.7 

I.O 

i  .0 
0.9 

0.8 
0.8 
0.7 

.0 
.0 

0.9 
0.8 
0.7 
0.7 

.O 

.0 
0.0 

0.8 
0.7 
0.7 

I  .O 
0.9 
0.9 

0.8 
0.7 
0.7 

60 
62 
64 
66 
68 

0° 

1* 

2° 

4° 

5° 

6° 

7° 

8° 

9° 

10° 

11° 

r«*ea40]                                     TABLE    XXXII. 

Vauution  of  the  Sun's  Altitude  in  one  minute  from  noon. 

Lat. 

Declination  of  a  different  name  from  the  Latitude. 

Lat. 

12° 

13° 

14° 

15° 

a 

16° 

17° 

18° 
n 

193 

20° 

21° 

22° 

23° 

24° 

n 

n 

n 

n 

n 

n 

n 

n 

n 

n 

n 

0° 

I 
2 

3 

4 

9.2 
8.5 

7-9 
7-4 
7.0 

8.5 

7-9 
7-4 
6.0 
6.5 

6.2 

7.3 
6.9 
6.5 
6.1 
5.8 

6.8 
6.5 
6.1 

5.8 
5.5 

6.4 
6.1 
5.8 
5.5 

5.2 

6.0 

5.7 
5.5 

5.2 

5.o 

5-7 
5.4 

5.2 

4-9 
4-7 

5.4 

1' 

4-7 

4.5 

4-9 

4-7 
4-5 
4.3 

4.9 
4.7 
4.5 
4.3 

4.6 
4-4 
4.3 

4.0 

4  4 

4  2 

4  i 

39 
3  8 

0° 

l 
2 

3 
4 

5 
6 

8 
9 

6.5 

6.2 

5.9 
5.6 
5.3 

6.2 

5.8 
5.6 
5.3 
5.o 

5.8 
5.5 
5.3 
5.o 
4.8 

5.5 
5.3 
5.o 
4.8 
4.6 

5.2 

5.o 
4.8 
4.6 
4.4 

5.o 
4.8 
4.6 
4-4 
4.2 

4.8 
4.6 
4-4 
4.2 

4-5 
4.4 
4.2 
4.0 
3.9 

4.3 

4.2 

4.0 
3.9 
3.8 

4.2 

4.o 
3'.6 

4.0 

3  '.6 
3.5 

3.8 
3.7 
3.6 
3.5 

3.4 

3  7 
3.6 
3.5 
3.4 
3.3 

5 
6 

8 

10 

ii 

12 

i3 

i4 

10 

1  1 

12 

i3 

i4 

5.o 
4.8 
4.6 
4.4 

4-2 

4.8 
4.6 
4-4 
4.3 

4.6 
4-4 
4.3 
4.1 
3.9 

4.4 
4.2 

3-9 

3.8 

4.2 

3.9 

3.8 

3.7 

3:9 
3.8 

3.7 
3.5 

3.9 
3.8 

3-7 
3.5 
3.4 

3.8 
3.6 
3.5 
3.4 
3.3 

3.6 
3.5 
3.4 
3.3 

3.2 

3.5 
3.4 
3.3 

3.2 

2.9 

2.8 
2.8 

2.7 

3.4 
3.3 

3.2 

3'.o 

3.3 

3.2 

3'.o 
2.9 

3.2 

3!o 
2.9 

2.8 

i5 
16 

17 
18 

19 

3*0 

3.8 

3-7 
3.5 

3.9 
3.8 
3-7 
3.5 
3.4 

3.8 
3.7 
3.5 
3.4 
3.3 

3.7 
3.5 
3.4 
3.3 

3.2 

3.5 
3.4 
3.3 

3.2 

3.4 
3.3 

3.2 

3!o 

3.3 

3.2 

3!o 
2.9 

3.2 

3!o 
2.9 
2.9 

2!o 
2.9 
2.9 

2.8 

2.9 

2.8 
2.8 

2.7 

2.6 

2.8 
2.8 

2.7 

2.6 

2.6 

2.8 

2.7 

2.6 
2.5 
2.5 

i5 
16 

17 
18 

20 
21 
22 
23 

24 

3.4 
3.3 

3.2 

3lo 

3.3 

3.2 

3!o 
2.9 

3.2 

3.'o 
2.9 

2.8 

3!o 
2.9 

2.8 
2.8 

3.o 
2.9 

2.8 
2.8 

2.7 

2.9 

2.8 
2  8 

2.7 

2.6 

2.9 

2.8 

2.7 

2.6 
2.5 

2.5 

2.4 

2.4 

2.3 
2.2 

2.8 

2.7 

2.6 
2.6 
2.5 

2.7 

2.6 
2.6 
2.5 

2.4 

2.6 
2.6 
2.5 

2.4 
2.4 

2.6 
2.5 

2.4 

2.4 
2.3 

2.5 

2.4 

2.4 
2.3 
2.3 

2.4 

2.4 
2.3 
2.3 
2.2 

20 
21 
22 
23 
24 

25 
26 

27 
28 

2.9 

2.8 
2    7 
2.6 
2.6 

2.8 

2.7 
2.7 

2.6 
2.5 

2.7 
2.7 

2.6 
2.5 
2.4 

2.7 

2.6 
2.5 
2.5 
2.4 

2.6 
2.5 
2.5 

2.4 

2.3 

2.5 
2.5 
2.4 
2.3 
2.3 

2.4 
2.4 

2.3 
2.2 
2.2 

2.4 
2.3 
2.2 
2.2 
2.  I 

2.3 
2.3 
2.2 
2.1 
2.  I 

2.3 
2.2 
2.  I 
2.1 
2.O 

2.2 
2.  I 
2.1 
2.1 
2.0 

2.2 
2.1 
2.1 
2.0 
2.0 

25 
26 
27 
28 
29 

To" 

3i 

32 

33 
34 

3o 
3i 

32 

33 
34 

2.5 

2.4 

2.3 
2.3 
2.2 

2.4 

2.4 

2.3 
2.2 
2.2 

2.4 
2.3 
2.2 
2.2 
2.  I 

2.3 
2.3 
2  .2 
2.1 
2  .  I 

2.3 
2.2 
2.2 
2.1 
2.O 

2.2 
2.2 
2.1 
2.1 
2.0 

2.2 
2.1 
•2     I 
2.0 
2.0 

2.1 
2.1 
2.0 
2.0 

2.  I 
2.0 
2.0 

•9 
•9 

2.0 
2.0 

•9 
•9 
•9 

2.O 
2.O 

•9 

3 

2.0 
1.9 
1.0 

1.8 

T  8 

1.0 

1.8 
1.8 
i  8 

35 
36 

37 
38 

39 
4o 
4i 

42 

43 
44 

2.2 

2.1 

2.1 

2.0 

2.0 

2.O 

i  .g 

•9 

1.0 

1.8 

.8 

.8 

.8 
.8 

.8 

.7 

1-7 

35 
36 
37 
38 

39 

.0 

2.0 

2.0 

1.9 

I  .  O 

.8 
8 

1.8 
i  8 

.8 

.7 

•  7 
.7 

i  6 

1.6 

i  6 

•9 

,1 

.8 

•7 
•7 

1.9 

1-9 

1.8 
1.8 
1.7 

i-7 

1.8 

.8 

1.8 
1-7 

1.6 
1.6 

•  7 

•  7 

.6 

.6 

.5 
.5 
.5 
.4 

1.6 

1.6 

.8 
.8 

.7 

'.6 

1.8 

i-7 

1.6 
1.6 

•  7 
•  7 

.'6 

'.6 

.6 
.6 
.5 

1-7 

1.6 
1.6 

.6 
.6 
.6 
.5 
.5 

.6 
.6 
.5 
.5 
.5 

!:i 

4o 
4i 

_42 

44 

45 
46 
47 
48 

49 

.6 

6 

.6 
6 

1.6 

!l 

.5 
.5 

1*5 

.5 
4 

.5 
•  4 

.4 
.4 

.4 
.4 

.4 

.4 

1*3 

1A 

45 
46 
47 
48 

49 

5 

5 

r 

•  4 

/ 

•  4 

•  4 

.4 

.3 

.3 

3 

3 

.5 
.4 

.5 

.4 

iil 

1.4 

.4 
.4 

1:3 

.4 
.3 

.4 
.3 

.3 
.3 

.3 
.3 

.3 
.3 

I  .2 

I  .2 

5o 

52 

54 
56 
58 

•  4 
.3 

2 

.4 
.3 

i!3 

I  2 

.3 
.3 

.2 

1.3 

I  2 

.3 

.2 
2 

.3 

.2 
I 

.3 

.2 

.3 

.2 

.  I 

.2 
.2 

I  .2 
I  .  I 
I  i 

I  .2 
I  .1 
j  j 

5o 

52 

54 
56 
58 

.2 
I  .1 

i 

I  .  I 

I  .  I 

.1 

I  .  I 

I  .  I 

.  I 

.0 

I  .O 

I  .O 

.  i 

1  .1 

.O 

I  .O 

.0 

I  .0 

.O 

.0 

.0 

I  .O 

I  .0 

60 
62 
64 
66 
68 
70 

I  .0 
0.9 
0-9 

0.8 

0.7 
0.7 

I  .0 

0.9 
0.9 
0.8 

0.7 

0.7 

I  .0 

0.9 
0.9 

0.8 
0.7 

o-7 

I  .0 

0.9 
0.9 
0.8 
0.7 
0.6 

15° 

I   0 
0.9 

0.8 
0.8 
0.7 
0.6 

I  .O 

0.9 

0.8 
0.8 
0.7 
0.6 

I  .0 
0.9 

0.8 
0.8 

0.7 
0.6 

0.9 
0.9 

0.8 
0.8 
0.7 
0.6 

0.9 
0.9 
0.8 
0.8 
0.7 

0.9 
0.9 

0.8 

o-7 
0.7 

0.9 
0.9 

0.8 

0.7 

0-9 

0.9 

0.8 
0.7 

0.9 

0.8 
0.8 

60 
62 
64 
66 
68 
70 

12° 

13° 

14° 

16° 

17° 

18° 

19° 

20° 

21° 

22° 

23° 

24° 

TABLE     XXXII.                                                      [Page  241 

Variation  of  the  Sun's  Altitude  in  one  minute  from  noon. 

Lat. 

0° 

i 

2 

3 

4 

Declination  of  the  same  name  as  the  Latitude. 

Lat. 

0° 

1° 
// 

2° 
ii 

3° 

4° 

5° 

6° 

7° 

8° 

9° 

10° 

11° 

" 

" 

n 

u 

n 

n 

28.1 

i 

28.1 

2.4 

8.0 

8.7 

2.4 

28.0 

6.0 
8.6 

2.3 

7-9 

i4.o 
16.0 
18.6 

22.3 

27.8 

12.4 

,3.9 

i5  o 
i8.5 

22.2 

l\9 

5.8 
8.5 

10.  I 

n.  i 

12.3 

3.8 
i5.8 

0° 

i 

2 

3 
4 

5 
6 

8 
9 

22.4 
l8.7 

16.0 
i4.o 
12.4 

2-;5.0 
22.4 
18.6 

16.0 
i3.9 

28.0 

22.3 

18.6 
i5.9 

11:1 

8.5 

27.8 

22.2 

27.7 

27.7 

22.  I 
27.6 

18.4 

22.0 
27.4 

5 

6 

8 
9 

10 

u 

12 

i3 
i4 

n.  i 

10.  I 

9.2 

8.5 
7-9 

12.4 
1  1  .1 

10.  I 

9.2 

8.5 

13.0 

12.3 

ii  .  i 

10.0 
9.2 

i5.8 
i3.8 

2.3 

ii  .0 

0.0 

18.5 

i5.8 
i3.8 

12.2 
10.9 

22.1 

18.4 

fe 

12.  I 

27.6 

22.0 
18.3 

i5.6 
i3.6 

27.4 

Is'.l 

27.3 

21.7 

18.0 

27.1 
21.6 

26.9 

10 

ii 

12 

i3 
i4 

i5 
16 
17 
18 

'9 

7.3 
6.8 
6.4 
6.0 

5-7 

7.8 
7-3 
6.8 
6.4 
6.0 

8.4 
7.8 
7.2 
6.8 
6.3 

9.1 

8.4 
7.8 
7.2 
6.7 

6.3 
5.9 
5.6 
5.3 
5.o 

9-9 
9.1 

8.3 
7-7 
7-2 

10.  9 
0.0 

8.3 
7-6 

12.  I 

10.8 
9.8 
8.9 

8.2 

i3.5 

12.0 
10.7 

9-7 
8,9 

ib.4 
i3.4 
11.9 
10.6 
9.6 

17.9 

i5.3 
i3.3 
u.  8 

10.6 

IT 

8.0 

7-4 
6.8 

21.4 

l5*.2 
13.2 

11.7 

26.7 
21.3 

17.6 

i5.o 

i5 
16 

i? 

18 

19 

20 
21 
22 
23 
24 

5.4 

4^9 
4.6 

4-4 

5-7 
5.4 
5.i 
4.8 
4.6 

6.0 
5.6 
5.3 
5.o 
4.8 

6.7 
6.3 

5^2 

e'.6 

6.2 

5.8 
5.5 

7.6 
7.0 
6.6 
6.1 
5.8 

8.1 
7.5 
7.0 
6.5 
6.1 

8.8 
8.1 
7-5 
6.9 
6.4 

io.5 
9.5 
8.6 

11.6 
10.4 
0.4 
8.5 

7.8 

20 
21 
22 
23 
24 

25 

26 

27 
28 

4.2 

4.0 

ft 

3.5 

4-4 
4.2 
4.0 
3.8 
3.7 

4.6 

4.3 

4!o 
3.8 

4-7 
4.5 
4.3 

3*9 

5.o 

4-7 
4-5 
4.3 

5.2 

4-9 

4-7 
4.4 

4-2 

5.4 

A  •  Q 

4-6 
4.4 

5-7 
5.4 

4'.8 
4.6 

6.0 
5.7 
5.3 
5.o 

4-7 

6.4 
6.0 
5.6 
5.3 

5.o 

6.8 
6.3 

1:1 

5.2 

7-2 

6-7 

6.2 

5.8 
5.5 

25 
26 

2 

29 

3o 
3i 

32 

33 
34 

3.4 
3.3 

3!o 
2.9 

3^4 

3.2 

3!o 

3.6 
3.5 
3.3 

3.2 

3.7 
3.6 
3.4 
3.3 

3.2 

3*.5 
3.4 

3.2 

4.0 
3.8 

3.7 
3.5 
3.3 

4.2 
4.0 
3.8 
3.6 
3.4 

4.3 
3.9 
3l<5 

4.5 
4.3 

1 

4.7 
4.4 

4.2 

4.0 
3.8 

4-9 
4.6 
4.4 
4.2 
3.9 

4^8 
4-6 

4-3 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 
39 

35 
36 
37 
38 
39 

2.8 

2.7 

2.6 
2.5 
2.4 
-2.3 
2.3 
2.2 
2.1 
2.O 

2.9 

2.8 

2.7 

2.6 
2.5 

3.o 

2.8 

l'.5 

3.o 

2.0 

2.8 

2.7 

2.6 

3!o 

2.9 

2.8 

2.7 

3.2 

2.0 
2.8 

2.7 

3.3 

3.2 

3.o 
2-9 

2.8 

3.4 
3.3 

3!o 

2.9 

3.5 
3.4 

3.2 

3.o 
2.9 

2.8 

2.7 

2.6 
2.5 
2.4 

3.6 
3.5 
3.3 

3.2 

3.o 

3.7 
3.6 
3.4 

3.2 

!i 

3.5 
3.3 

3.2 

O  •"  «  00  XT 

xr  XT  XT  xr  XT 

2.4 

2.3 
2.2 
2.1 
2.1 

2.4 

2.4 
2.3 
.2 

2.5 
2.4 
2.3 
2.2 
2.1 

2.6 
2.5 

2.4 

2.3 
2.2 

2.6 
2.5 
2.4 
2.3 
2.2 

2.7 

2.6 
2.5 
2.4 
2.3 

2.7 

2.6 
2.5 

2.4 

2.3 

2.9 

2.8 
2.6 
2.5 

2.4 

3.o 

2.8 

2.7 

2.6 
2.5 

3,o 
2.9 

2.8 

2.7 

2.5 

4o 
4i 

42 

43 
44 

45 
46 
47 
f    48 

49 

2.O 

1.8 

1.8 

I  -7 

2.O 

•9 
•9 
.8 

.7 

.O 
.0 

•9 

.8 
.8 

2.1 
2.0 

•9 
'I 

2.1 

.O 
.0 

•I 

2.2 
2.1 
2.0 
1.0 

i  8 

2.2 
2.1 
2.0 
2.O 
1.9 

2.2 
2.2 
2.1 
2.0 

2.3 
2.2 
2.1 
2.0 
1-9 

2.3 
2.2 
2.1 
2.1 

2.0 

2.4 
2.3 
2.2 
2..  I 
2.O 

2.4 

2.3 
2.2 
2.1 
2.  I 

45 

46 
47 
48 

49 

5o 

52 

54 
56 
58 

1.6 

'.6 
.4 

.*5 

•  7 

.6 
.5 

/ 

.8 
.6 
.5 

/ 

1.8 
1.6 

1.8 

.8 

•  7 
.4 

1.9 

1-7 

I:! 

.6 

,5 

•9 
.8 
.6 
,5 

2.0 
.8 

•7 

5o 

52 

54 
56 

58 

I  .2 

.2 

.3 

.3 

.3 

i.3 

i.3 

.3 

I.J 

.4 

.4 

.4 

60 
62 
64 
66 

68 
70 

I  .1 
1.0 
I  .O 
0-9 

0.8 
0.7 

.O 
.0 
0.9 

0.8 

0.7 

.2 
.1 
.0 
0-9 

0.8 
0.7 

.2 
.1 
1.0 

°-9 
0.8 

0.7 

.2 
.O 

o.9 
0.8 

0.7 

1.2 
I  .1 
I  .0 
0.9 

0.8 
0.7 

1.2 
I  .1 

I  .0 
0-9 

0.8 

0.7 

.2 
.1 
.0 
0.9 

0.8 
0.7 

1.2 
I.I 

1.0 
0-9 

0.8 
0.8 

.2 

.0 
0.9 

0.8 
0.8 

.3 

.2 
.0 

0.9 

0.0 

0.8 

,3 

.2 

.1 

.0 

0.9 

0.8 

60 
62 
64 
66 
68 
70 

0° 

1° 

2° 

3° 

4° 

5° 

6° 

7° 

8° 

9° 

10°     11° 

^«242j                                    TABLE    XXXII. 

Variation  of  the   Sun's  Altitude  in  one  minute  from  noon. 

Lat. 

Declination  of  the  same  name  as  the  Latitude. 

Lat. 

12° 

13° 

14° 

15° 

16° 

17° 

18° 

19° 

20° 

21° 

22° 

23° 

24° 

// 

// 

n 

/' 

n 

7'.3 

7.8 
8.4 
9.1 

n 

ii 

ii 

6*0 

6.3 
6.7 

7.2 

n 

5-.7 

6.0 
6.3 

6.7 

u 

n 

n 

'/ 

0° 

I 
2 

3 
4 

9.2 

10.  I 

ii  .  i 

12.3 

i3.8 

8.5 
9.2 

IO.O 
II.  0 
12.2 

7-9 
8.5 
9.2 

IO.O 

10.9 

7.3 

7.8 
8.4 
9.1 
9.9 

6.4 
6.8 
7.2 
7.8 
8.3 

6.0 
6.4 
6.8 

7.2 
7-7 

5.4 
5.6 
5.9 

6.3 

1? 

5.3 
5.6 
5.9 

4.6 
4.8 
5.o 
5.3 

5.5 

4-4 
4.6 
4.8 
5.o 

5.2 

0° 

1 
2 

3 
4 

5 
6 

8 
9 

i5.7 
i8.3 
21.9 
27.3 

i3.7 
i5.6 
18.2 

21.7 
27.1 

12.  I 

i3.6 
i5.5 
18.0 

21.6 

10.9 

12.  I 

i3.5 
i5.4 
17.9 

9.8 
10.8 

12.0 

i3.4 
i5.3 

9.0 
9.8 
10.7 
11.9 
i3.3 

15.2 

17.6 

21  .1 
26.2 

8.3 
8.9 

10.6 
n.  8 

13.2 

i5.o 
i7.5 
20.9 
26.0 

7-6 

8.2 

8.9 
9.6 
10.6 

7  '.6 
8.1 
8.8 
9.5 

6.6 
7.0 
7-5 
8.1 
8-7 
9.5 
10.4 
ii.  5 

12.8 

14.6 

6.2 

6.6 

O  .  O 

5.8 
6.1 

6.5 

6-9 
7-4 

5.5 
5.8 
6.1 
6.4 
6.8 

"7.3 

7.8 
8.4 
9.2 

IO.O 

5 

6 

7 
8 

9 

10 

u 

12 

i3 

26.9 

21.4 
26.7 

17.8 

21.3 

2C.5 

11.7 

14^9 
17.3 
20.7 

io.5 
u.  6 
i3.o 

i4.8 
17.1 

8.6 

9-4 
io.3 

12.7 

7-9 
8.5 
9.3 

10.  I 
II  .2 

10 

1  1 

12 

i3 

i4 

i5 
16 

18 
'9 

26.5 

21  .1 
I7.5 

14.9 

26.2 
20.9 
i7.3 

26.0 

20.7 

25.7 

25.7 

20.4 
25.4 

16.9 

2O.  2 
25.1 

i4-4 
16.7 
20.  o 
24.8 

12.5 

i4.3 
i6.5 
19.7 

24.5 

u  .1 
12.4 

Id'.l 
,9.5 

i5 
16 

17 
18 

Jy 

20 
21 
22 
23 
24 

i3.o 
n.  5 
io.3 
9-3 

8.4 

i4.8 

12.8 

u.  3 

10.  I 

9.2 

17.1 
14.6 

12.7 

II  .2 
IO.O 

20.4 
16.9 

i4.4 

12.5 

n.  i 

25.4 

20.2 

l6.7 

i4-3 
12.4 

25.1 

20.  o 

16.5 

24.8 
19.7 
i6.3 

24.5 
i9.5 

24.2 

To.  2 

15.9 
i3.5 
11.7 
io.3 

24.2 

20 
21 
22 
23 

24 

25 

26 
27 
28 
29 

7-7 

e!e 

6.2 

5.7 

8.3 
7-6 
7.0 
6.5 
6.1 

9.0 
8.2 

7.5 
7.0 
6.4 

9.9 
8.9 
8.1 
7-4 
6.9 

10.9 
9.8 
8.8 
8.0 
7-3 

12.2 
10.8 
9.6 

8-7 
7-9 
7.2 
6.7 

6.2 

5.7 
5.3 

i3.9 

12.  I 

10.6 
9.5 
8.6 

7.8 

^5 
6.1 
5.6 

16.1 
i3.7 
u.  o 
io.5 
9-4 

23.8 

18.9 

i5.6 
i3.3 
n.  5 

23.5 
18.6 
i5.4 

23.1 

18.3 

22.7 
18.0 

25 

26 

27 
28 
29 

CO  CO  CO  CO  CO 
-fcs  CO  S3  «  O 

5.4 

4^8 

4.5 
4.3 

5.7 
5.3 
5.o 

4.7 
4-4 

6.0 
5.6 

5.2 

4.9 
4.6 

6.4 
5.9 
5.5 

4.S 

6.8 
6.3 

5.8 
5.4 

8.4 
7-7 
7.0 
6.4 
5.9 

9.2 
8.3 

7.5 
6.9 
6.3 

10.  I 

9.0 

8.1 
7.4 
6.8 

u.  3 

IO.O 

8.9 

8.0 
7.3 

12.8 

II.  I 

9.8 

8.7 
7-8 

14.9 

12.6 

10.9 

0.6 
8.6 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 

39 

35 
36 

37 
38 
39 

4.0 
3.8 
3.6 
3.4 
3.3 

4.2 
4.0 
3.8 
3.6 
3.4 

4.4 
3^5 

4.5 
4.3 
4.0 
3.8 
3.6 

4-7 
4.5 
4.2 
4.o 
3.8 

5.o 
4-7 
4.4 

3^ 

5.2 

4.6 
4.3 
4.o 

5.5 

4^8 
4.5 

4.2 

5.8 
5.4 
5.o 
4-7 
4.4 

6.2 

5-7 
5.3 

4.9 
4.6 

6.6 
6.1 
5.6 

5.2 

4.8 

6.5 
6.0 
5.5 

7-7 
7.0 
6.4 
5.8 
5.4 

4o 
4i 

42 

43 
44 

3!o 
2.9 

2.7 

2.6 

3.2 

2.9 

2.8 

2.7 

3.3 

3.2 

3.o 
2.9 
2.7 

2.6" 
2.5 

2.4 

2.3 
2.2 

3.4 
3.3 

3!o 

2.8 

3.6 
3.4 

3.2 

3.0 
2.9 

3.7 
3.5 
3.3 

3!o 

2.7 

2.6 

2.4 

2.3 

3.8 
3.6 
3.4 

3.2 

4.0 

1:1 

3.3 

3.2 

4.1 

a3:? 

3.5 
3.3 

4.3 
4.o 
3.8 
3.6 
3.4 

4.5 
4.2 
4.o 

3-7 
3.5 

4.7 
4.4 

3  .6 

5.Q. 
4.6 
4.3 
4.0 
3.8 

4o 
4i 

42 

43 
44 

45 
46 
47 
48 

49 

2.5 
2.4 
2.3 
2.2 
2.1 

2.6 

2.4 

2.3 
2.2  . 
2.1 

2.7 

2.6 

2.4 

2.3 
2.2 

2.8 
2.6 
2.5 

2.4 

2.3 

2.9 

2.8 
2.6 
2.5 

2.4 

3.o 
2.8 

2.7 

2.6 

2.4 

2.0 
2.8 
2.6 

2.5 

3.2 

3.o 

2.9 

1:1 

2.4 

2.2 
2  .O 

3.3 

!:i 

2.6 

3.4 

3.2 

3.o 
2.9 

2.7 

3.5 

3.3 

3'.o 

2.8 

45 
46 
47 
48 

49 

5o 

52 

54 
56 
rtf 

2.0 
1.8 

2.0 

•9 

2.1 

2.1 

2.2 
2.0 

i  8 

2.2 
2.0 
I    8 

2.3 
2.1 

2.3 

2.1 

2.4 

2.1 

2.5 
2.2 

2.6 
2.3 
2  .  I 

2.6 
2.4 
2.  I 

5o 

52 

54 
56 
58 

1.5 

.6 
.4 

1.6 

1.6 

1.6 

•  7 

i  .y 

1  -7 
i  .5 

i  .y 

.'e 

.8 

.6 

.8 

6 

1.9 

1-7 

1-9 

1-7 

60 
62 
64 
66 
68 
?o 

3~ 

i  3 

~i~3~ 

—  -7- 

/ 

-7- 

4 

5 

.5 

.5 

60 
62 
64 
66 
68 
70 

o 

^ 

3 

3 

.3 

.3 

4 

.2 

2 

I  .2 

I  .C 

0.9 
0.8 

.0 

0.9 

0.8 

i  .0 
0.9 
0.8 

I  .0 

0.9 
0.8 

I  .0 

0.9 

0.8 

.0 
0.9 
0.8 

I  .0 

0.9 
0.8 

I  .0 
0.9 

0.8 

.0 

0.9 

0.8 

0.9 

0.8 
21° 

.1 

o  9 
0.8 

.1 

.0 

0.8 

I  .1 
I  .0 
0.9 

12° 

13° 

14° 

J5° 

16° 

17° 

18° 

19° 

20° 

22° 

23° 

24° 

TABLE     XXXIII. 

To  reduce  the  numbers  of   Table  XXXII  to  other  given  intervals  of  time 

from  noon. 


Time  from  Noon. 


s. 

0' 

1' 

2' 

3' 

4' 

5' 

& 

7' 

8' 

9> 

10' 

11' 

12' 

S. 

0 

0.0 

.0 

4.0 

9.0 

16.0 

25.0 

36.o 

49.0 

64.o 

81.0 

IOO.O 

121  .0 

i44.o 

o 

i 

0.0 

.0 

4-  1 

9.1 

16.  i 

25.2 

36.2 

49.2 

64-3 

8i.3 

ioo.3 

121  .4 

)44.4 

i 

2 

0.0 

.  I 

4-  1 

9.2 

i6.3 

25.3 

36.4 

49-5 

64.5 

81.6 

100.7 

121.7 

)44.8 

2 

3 

0.0 

.  I 

4-2 

9.3 

16.4 

25.5 

36.6 

49.7 

64.8 

81.9 

101  .0 

122.1 

i45.2 

3 

4 

0.0 

.  I 

4.3 

9-4 

i6.5 

25.7 

36.8 

49.9 

65.i 

82.2 

101  .3 

122.5 

i45.6 

4 

5 

0.0 

.2 

4.3 

9.D 

16.7 

25.8 

37.o 

50.2 

65.3 

82.5 

101  .7 

122.9 

i46.o 

5 

6 

0.0 

.2 

4-4 

9.6 

16.8 

26.0 

37.2 

5o.4 

65.6 

82.8 

IO2  .O 

123.2 

i46.4 

6 

7 

0.0 

.2 

4.5 

9-7 

16.9 

26.2 

37-4 

5o.6 

65.9 

83.i 

102.3 

123.6 

i46.8 

7 

8 

0.0 

.3 

4.6 

9-8 

17.1 

26.4 

37.6 

5o.o 

66.1 

83.4 

102.7 

124.0 

l47-2 

8 

9 

0.0 

.3 

4.6 

9.9 

17.2 

26.5 

37.8 

5i  i 

66.4 

83.7 

io3.o 

124.3 

147.6 

9 

10 

o.o 

•  4 

4-7 

10.  0 

i7-4 

26.7 

38.o 

5i.4 

66.7 

84.0 

io3.4 

124.7 

i48.o 

10 

1  1 

0.0 

•  4 

4-8 

10.  I 

i7.5 

26.  9 

38.2 

5i.6 

67.0 

84.3 

io3.7 

125.  1 

i48.4 

ii 

12 

0.0 

.4 

4.8 

10.2 

17.6 

27.0 

38.4 

5i.8 

67.2 

84.6 

io4-o 

125.4 

i48.8 

12 

i3 

0.0 

.5 

4.9 

io.3 

17.8 

27.2 

38.6 

52.1 

67.5 

84.9 

io4.4 

125.8 

l49-2 

i3 

i4 

0. 

.5 

5.o 

io.5 

17.9 

27.4 

38.9 

52.3 

67.8 

85.3 

104.7 

126.2 

149.7 

i4 

1  5 

0. 

.6 

5.  i 

10.6 

18.1 

27.6 

39.i 

52.6 

68.1 

85.6 

io5.i 

126.6 

iSo.i 

i5 

16 

0. 

.6 

5.  i 

10.7 

18.2 

27.7 

39.3 

52.8 

68.3 

85.9 

io5.4 

126.9 

i5o.5 

16 

17 

o. 

.6 

5.2 

10.8 

i8.3 

27.  9 

39.5 

53.o 

68.6 

86.2 

io5.7 

127.3 

i5o.9 

17 

18 

0. 

.7 

5.3 

10.9 

i8.5 

28.1 

39-7 

53.3 

68.8 

86.5 

106.1 

127.7 

i5i.3 

18 

19 

0. 

.7 

5.4 

II.  0 

18.6 

28.3 

39.9 

53.5 

69.2 

86.8 

106.4 

128.1 

i5i.7 

19 

20 

0. 

,8 

5.4 

1  1  .1 

18.8 

28.4 

4o.i 

53.8 

69.4 

87.1 

106.8 

128.4 

I52.I 

20 

21 

o. 

.8 

5.5 

II.  2 

18.9 

28.6 

4o.3 

54.0 

60-7 

87.4 

107.1 

128.8 

i5a.5 

21 

22 

o. 

•9 

5.6 

ii.  3 

19.1 

28.8 

4o.5 

54-3 

70.0 

87-7 

107.5 

129.2 

1  5  2  .  9 

22 

2.3 

o. 

•9 

5-7 

n.  4 

19.2 

29.0 

40.7 

54.5 

70.3 

88.0 

107.8 

129.6 

i53.3 

23 

75 

0.2 

0.2 

2.0 
2.0 

5.8 
5.8 

1  1.  6 

11.7 

19.4 
19.5 

29.2 
29.3 

4i.o 

4l.2 

54.fi 
55.o 

70.6 
70.8 

88.4 
88.7 

108.2 
io8.5 

i3o.o 
i3o.3 

i53.8 
i54.2 

25 

0.2 

2.1 

5.9 

11.8 

19.7 

29.5 

4i.4 

55.3 

71.1 

89.0 

108.9 

i3o.7 

i54.6 

20 

28 

O.2 
O.2 

2.  I 
2.2 

6.0 

6.1 

11.9 

12.  0 

i9.8 

20.  0 

29.7 
29.9 

4i.6 
4i.8 

55.5 
55.8 

7i.4 

71.7 

89.3 
89.6 

109.2 
109.6 

i3i!5 

i55.o 
i55.4 

27 
28 

29 

0.2 

2  .2 

6.2 

12.  1 

20.1 

3o.i 

42.0 

56.o 

72.0 

89-9 

109.9 

i3i.9 

i55.8 

20 

3o 

O.2 

2  .2 

6.2 

12.2 

20.2 

3o.a 

42.2 

56.2 

72.2 

90.2 

no.  2 

132.2 

i56.a 

3o 

3r 

0.3 

2.3 

6.3 

12.4 

2O.4 

3o.4 

42.5 

56.5 

72.5 

00.6 

no.  6 

i32.6 

i56.7 

3i 

JJ  CO  CO  CO 

-n.CK  Co  s. 

o.3 
o.3 
o.3 
o.3 

2.4 
2.4 

2.5 
2.5 

6.4 
6.5 
6.6 
6.7 

12.5 
12.6 

12.7 
12.8 

20.6 
20.7 
20.  9 
21  .O 

3o.6 
3o.8 
3i.o 

3l.2 

42.7 

42.9 
43.i 
43.3 

56.8 
57.o 
57.3 
57.5 

72.8 
73.i 

73.4 
73.7 

9°-9 

91.2 

91.5 

91.8 

III  .0 

in.  3 
111.7 

112.  0 

i33.o 
i33.4 
i33.8 

i34.2 

i57.i 
i57.5 
i57-9 
i58.3 

32 

33 
34 
35 

36~ 

37 
38 
39 
4o 
4i 

o!4 
0.4 
0.4 
0.4 
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i'.6 

2.7 

2.7 

2.8 
2.8 

6^8 
6.9 

7.0 

7.2 

i3.o 

i3]2 
i3.3 
i3.4 
i3.6 

21  .2 
21.3 
21.5 
21.6 
21.8 
21.  9 

~3i.4 
3i.5 
3i.7 
3i.9 

32.1 

32.3 

43.6 
43.8 
44.o 
44-2 
44-4 
44-7 

57.8 
58.o 
58.3 
58.5 
58.8 
59.0 

74.0 
74.3 
74-5 
74.8 
75.i 
75.4 

92.2 
92.5 
92.8 
93.i 
93.4 
93.8 

112.  4 
II2.7 

ii3.i 

ii3.4 
ii3.8 
ii4.i 

i34.6 
i34-9 
i35.3 
i35.7 
i36.i 
i36.5 

i58.8 
159.2 
159.6 
160.0 
160.4 
160.9 

36 

.37 
38 
39 
40 

42 

43 

44 
45 

46 
/_ 

o.5 
o.5 
o.5 
0.6 
0.6 
o  6 

2.9 

3.o 

3  2 

"7.3 

7-4 
7.5 
7.6 

7-7 

7  7 

i3.7 
i3.8 
i3.9 

14.2 
i4.3 

22.  I 
22.2 

22.4 
22.6 
22.7 
22.  9 

32.5 
32.7 
32.9 
33.i 
33.3 
33,4 

44-9 
45.i 
45.3 
45.6 
45.8 
46.o 

59.3 
59.5 
59.8 
60.  i 
6o.3 
60.6 

75-7 
76.0 
76.3 
76.6 
76.9 
77.1 

94.i 
94-4 
94-7 
95.i 
95.4 
95.7 

ii4-5 
ii4-8 

Il5.2 

ii5.6 
ii5.9 
ii6.3 

£1 

137-7 
i38.i 
i38.5 
i38.8 

161  .3 
161  .7 
162.1 
162.6 
i63.o 
i63.4 

42 

43 

44 
45 
46 

4" 

48" 

49 
5o 
5i 

52 

<;^ 

0.7 

o  7 
o  7 
0.8 
o  8 

3^3 

3.4 
3.4 
3.5 
3  5 

7-9 
8.0 
8.1 

8.2 

8,3 

i4-6 
i4-7 
14.8 
i5.o 

"alTo" 

23.2 

23.4 
23.5 
23.7 
23.8 

"3T6" 
33.8 
34.o 
34.2 
34-4 
34.6 

^6.2 

46.5 

46.7 
46.9 

47-2 

47.4 

6i.'i 
61.4 
61.6 
6i.9 
62.1 

77.4 
77-7 
78.0 
78.3 
78.6 
78.9 

96.o 
96.4 
96.7 

97-4 

97-7 

116.6 

llf  0 

.17-4 
117.7 
118.1 
118.4 

l39.2 

139.6 

i4o.o 
i4o.4 
i4o.8 
i4i  2 

i63.8 
i64-3 
164.7 
1  65.1 

i65.6 
166.0 

48 

5i 

52 

53 

•>  xrm  o  r-co  c 
•i  Uo  m  m  in  in  u 

"oT8~ 
0.8 
0.9 
0.9 
0,9 

I  O 

3!7 
3.7 
3.8 

3  o 

8.4 
8.5 
8.6 

8.7 
8.8 
8.0 

l5.2 

i5.3 
i5.5 
i5.6 
i5.7 
i5.9 

24.0 

24.2 
24.3 
24.5 

24.7 

34.8 
35.0 
35.2 
35.4 
35.6 
35.8 

47-6 
47-8 
48.1 
48.3 
48.5 
48.8 

62.4 
62.7 
62.9 
63.2 
63.5 
63.7 

79.2 
79.5 

79-8 
80.  i 

8o.4 
80.7 

98.o 
98.3 

98-7 
99.0 
99.3 
99-7 

118.8 
119.2 
119.5 
119.9 

120.3 
120.6 

i4,i  -6 

l42.0 

142.4 
i4a.8 
143.2 
143.6 

166.4 
166.8 
167.3 
167.7 
168.1 
168.6 

54 
55 
56 
57 
58 
59 

-'y 

0' 

1' 

2' 

3' 

y 

5' 

—  i    -— 

& 

• 

7' 

—. 

8' 

• 

9' 

10 

-^ 

11' 

- 

•  i      .•^ 

TABLE    LI. 

TABLE   LII.          [1^329 

To    change    mean    solar   time   into 

To  change  sideral  t:me    nto  mean 

sideral  time. 

solar  time. 

Solar 
Hours. 

Add. 

Solar 
Min- 
utes. 

Add. 

Solar 
Sec- 
onds. 

Add. 

Sideral 
llours. 

Subtract. 

Sider,.] 
Min- 
utes. 

Subtract 

Sider;  1 
Sec- 
onds. 

Subtract 

M.      S. 

s. 

S, 

M.    s. 

S. 

S. 

I 

o     9.9 

I 

0.2 

I 

0.0 

I 

0     9.8 

I 

0.2 

I 

O.O 

2 

o  19.7 

2 

o.3 

2 

0.0 

2 

o  19.7 

2 

o.3 

2 

0.0 

3 

o  29.6 

3 

o.5 

3 

0.0 

3 

0   29.5 

3 

o.5 

3 

0.0 

4 

o  39.4 

4 

0.7 

4 

0.0 

4 

0  39.3 

4 

0.7 

4 

0.0 

D 

o  49.3 

5 

0.8 

5 

0.0 

5 

o  49.1 

5 

0.8 

5 

O.O 

6 

o  69.  i 

6 

I  .0 

6 

o.o 

6 

o  59.0 

6 

I  .0 

6 

0.0 

7 

9.0 

7 

I  .2 

7 

0.0 

7 

8.8 

7 

1  .1 

7 

0.0 

8 

18.9 

8 

i.3 

8 

0.0 

8 

18.6 

8 

.3 

8 

0.0 

9 

28.7 

9 

i.5 

9 

0.0 

9 

28.5 

9 

.5 

o 

0.0 

10 

38.6 

10 

1.6 

10 

0.0 

10 

38.3 

10 

.6 

10 

0.0 

1  1 

48.4 

ii 

1.8 

1  1 

0.0 

ii 

48.i 

1  1 

.8 

1  1 

o.o 

J2 

58.3 

12 

2.0 

12 

0.0 

12 

58.o 

12 

2.0 

12 

o.o 

i3 

2       8.1 

i3 

2.  1 

i3 

o.o 

i3 

2       7.8 

i3 

2.  I 

i3 

o.o 

i4 

2   18.0 

i4 

2.3 

i4 

0.0 

i4 

2     17.6 

i4 

2.3 

i4 

o.o 

i5 

2  27.8 

i5 

2.5 

i5 

0.0 

i5 

2    27.4 

i5 

2.5 

i5 

o.o 

16 

2    37.7 

16 

2.6 

16 

0.0 

1.6 

2  37.3 

16 

2.6 

16 

0.0 

i? 

2  47-6 

17 

2.8 

17 

0.0 

17 

2    47.1 

17 

2.8 

!7 

0.0 

18 

2  57.4 

18 

3.o 

18 

0.0 

18 

a  56.9 

18 

2.9 

id 

o.o 

'9 

3    7.3 

*9 

3.i 

'9 

o. 

'9 

3    6.8 

'9 

3.i 

19 

0. 

20 

3  17.1 

20 

3.3 

20 

o. 

20 

3  16.6 

20 

3.3 

2-0 

o. 

21 

3  27.0 

2J 

3.5 

21 

o. 

21 

3  26.4 

21 

3.4 

21 

o. 

22 

3  36,8 

22 

3.6 

22 

o. 

22 

3  36.2 

22 

3.6 

22 

o  . 

23 

3  46.7 

23 

3.8 

23 

0. 

23 

3  46.1 

2J 

3.8 

23 

o. 

24 

3  56.6 

24 

3.9 

24 

0. 

24 

3  55.9 

24 

3.9 

24 

o. 

25 

4.i 

25 

0. 

25 

4-i 

25 

c 

26 

4.3 

26 

0. 

26 

4-3 

26 

0. 

27 

4-4 

27 

0. 

27 

4-4 

27 

o. 

28 

4.6 

28 

o. 

28 

4.6 

28 

0. 

29 

4.8 

29 

o. 

29 

4.8 

29 

o. 

3o 

4-9 

3o 

0. 

3o 

4-9 

3o 

0. 

3i 

5.i 

3i 

0. 

3i 

5.i 

3i    i    o. 

32 

5.3 

32 

0. 

32 

5.2 

32      !     0. 

33 

5.4 

33 

0. 

33 

5.4 

33 

0. 

34 

.  5.6 

34 

o. 

34 

5.6 

34 

0. 

35 

5.8 

35 

o. 

35 

3.7 

35 

o. 

36 

5.9 

36 

0. 

36 

5.9 

36 

O.I 

37 

6.1 

37 

0. 

37 

6.1 

37 

o. 

38 

6.2 

38 

0. 

38 

6.2 

38 

£>• 

39 

6.4 

39 

o. 

39 

6.4 

39 

0. 

4o 

6.6 

4o 

o. 

4o 

6.6 

4o 

o. 

4i 

6.7 

4i 

0. 

4i 

6.7 

4i 

0. 

42 

6.9 

42 

0. 

42 

6.9 

42 

o. 

43 

7-1 

43 

0. 

43 

7.0 

43 

0. 

44 

7-2 

44 

o. 

44 

7.2 

44 

0. 

45 

7-4 

45 

o. 

45 

7-4 

45 

n 

46 

7.6 

46 

o. 

46 

7.5 

46    i    •• 

47 

7-7 

47 

o. 

47 

7-7 

47 

o. 

48 

7-9 

48 

o. 

48 

7-9 

48 

o. 

49 

8.1 

49 

0. 

49 

8.0 

49 

o. 

DO 

8.2 

5o 

0. 

bo 

8.2 

5o 

o. 

5i 

8.4 

5i 

0. 

5i 

8.4 

5i 

0. 

52 

8.5 

52 

o. 

52 

8.5 

52 

o. 

53 

8.7 

53 

o. 

53 

8.7 

53 

o. 

54 

8.9 

54 

o. 

54 

8.8 

54 

o. 

55 

9.0 

55 

0. 

55 

9.0 

55 

0.2 

56 

9.2 

56 

o. 

56 

9.2 

56 

0.3 

57 

9-4 

57 

o. 

5? 

9.3 

57 

O.2 

58 

9.5 

58 

o  . 

5? 

9.5 

58 

0.2 

59 

9-7 

59 

o. 

59 

9'Z 

59 

0    2 

60 

9-9 

60 

'• 

60, 

9.8 

60 

0.2 

76 


MIDDLE    LATITUDE    SAILING 


BY    GUNTER. 

1st.  The  extent  from  the  distance  215,  to  the  departure  167,  on  the  lint;  of  numbers, 
will  reach  Irom  the  radius  90°,  to  the  course  50°  58'  on  the  line  of  sines. 

2dly.  The  extent  from  radius  90°,  to  the  complement  of  the  course  39°  02'  on  the 
line  of  sines,  will  reach  from  the  distance  215,  to  the  difference  of  latitude  135.4,  oil 
the  hue  oi  numbers. 

3dly.  The  extent  from  the  complement  of  the  middle  latitude  41°  37',  to  the 
radius  90°,  on  the  line  of  sines,  will  reach  from  the  departure  107,  to  the  difference  of 
longitude  251.5,  on  the  line  of  numbers. 

BY   INSPECTION. 

As  in  Case  V.  Plane  Sailing,  find  the  course  by  seeking  in  Table  II.  till  against  the 
distance,  in  its  column,  is  found  the  given  departure  in  one  of  the  following  columns, 
adjoining  to  which,  in  the  other  column,  will  be  the  difference  of  latitude,  which  if 
greater  than  the  departure,  the  course  will  be  at  the  top,  but  if  less  the  course  will  be 
found  at  the  bottom.  Then  take  the  middle  latitude  as  a  course,  and  find  the  departure 
in  the  column  of  difference  of  latitude,  against  which,  in  the  distance  column,  will  be 
found  the  difference  of  longitude. 

Thus  the  distance  215,  and  the  departure  167,  ar*  found  nearly  to  correspond  to  a 
course  of  51  degrees,  and  a  difference  of  latitude  of  135.3  ;  then  with  the  middle  latitude 
48°,  as  a  course,  I  enter  the  table,  and  seek  for  the  departure  1(57,  in  the  latitude 
column  ;  the  distance  corresponding  250  is  the  difference  of  longitude  nearly. 

In  all  the  preceding  examples,  we  have  used  the  middle  latitude,  without  any 
correction,  in  computing  the  difference  of  longitude ;  but  when  absolute  accuracy  is 
required,  this  latitude  must  be  corrected.  We  have  given  in  the  following  table  the 
value  of  this  correction  in  the  most  common  cases.  It  requires  no  particular  explana- 
jon :  one  example  will  serve  to  show  its  use.  Suppose,  therefore,  tne  two  latitudes 
*,o  be  40°  and  60°.  Here  the  middle  latitude  is  50°,  and  the  difference  of  latitude  20° ; 
the  tabular  correction  corresponding  to  these  numbers  is  57' ;  adding  this  to  50°,  we 
get  the  corrected  middle  latitude  50°  57',  which  is  to  be  used  instead  of  50°,  when 
great  accuracy  is  required.  We  have  inserted  in  the  notes  at  the  bottom  of  the  pages, 
in  the  preceding  examples,  the  values  of  this  correction,  but  have  not  introduced  it 
into  the  calculations,  because  it  is  generally  unnecessary  on  account  of  its  smallness. 

TABLE. 


This  Table  contains  the  correction,  in  minutes,  to  be  added  to  the  Middle  Latitude  to 
obtain  the  corrected  Middle  Latitude. 

MID. 
LAT. 

0 

15 
18 
21 

DIFFERENCE  OF  LATITUDE. 

Mm. 
LAT. 

1° 

2° 

3° 
i 
2 

4° 

5° 

6° 
/ 

7 
6 
5 

5 
5 
4 

7° 

8° 

9° 
f 

15 
13 
12 

10° 

12° 

/ 
26 
23 
21 

14° 

i 

36 
32 

29 

27 
25 
24 

~25~ 
26 

28 

31 

33 
35 

37 
40 
43 

47 
52 

58 

16° 

18° 

59 
52 
47 

44 
41 

40 

41 
43 
46 

51 

55 

58 

62 
67 
72 

20° 

72 

64 

58 

~54~ 
50 
49 

50 
53 
57 

63 
68 
72 

/ 
0 
0 

0 

0 
0 

0 

0 
0 
0 

/ 

1 
1 
1 

i 
3 
3 
2 

2 
2 

2 

~2~ 
2 
2 

i 
5 
4 
4 

3 

3 
3 

i 
9 

8 
7 

~7~ 
6 
6 

i 
12 
10 
9 

9 

8 
8 

i 

18 
16 
15 

14 
13 
12 

13 
13 
14 

47 
41 
37 

35 
32 
32 

32 
34 
36 

40 
43 
46 

~49~ 
52 
57 

62 

68 
76 

o 
15 

18 
21 

24 
30 
35 

11 

10 
10 

~io~ 
11 
11 

20 

18 
18 

18 
19 
20 

24 
30 
36 

40 
45 
50 

3 
3 
4 

5 
5 
5 

6 
6 

7 

8 
8 
9 

40 
45 
50 

55 

58 
60 

~62~ 
64 

(56 

55 

58 
60 

0 
0 
0 

0 
0 
0 

0 

0 
0 

1 
2 
2 

3 
3 
3 

4 

4 
4 

5 

5 
5 

6 
6 

a 

8 
8 
9 

~9~ 
10 
11 

~12~ 
13 
14 

10 
11 
11 

12 
13 
14 

13 
14 

14 

15 

16 

18 

19 
21 
23 

16 
17 

18 

~19~ 
20 
22 

22 
24 
26 

27 
29 
32 

~34~ 
38 
42 

62 
64 
66 

2 
2 
2 

2 
2 
3 

3 
3 
4 

4 
4 
5 

7 
7 

8 

77 
83 
90 

99 
110 
124 

68 
70 
72 

6 

6 
7 

8 
9 
10 

15 
16 

18 

24 
26 

29 

79 

88 
98 

68 
70 
72 

This  Table  is  to  be  entered  at  the  top  with  the  difference  of  the  two  latitudes,  anil  at 
the  side  with  the  middle  latitude  ;  under  the  former,  and  opposite  to  the  latter,  is 
correction,  in  minutes,  to  be  added  to  the   middle  latitude,  to  obtain  the  correc' 
middle  latitude.                                                                                                                                 J 

LOGARITHMS. 


IN  order  to  abbreviate  the  tedious  operations  of  multiplication  and  division  wich  large 
numbers,  a  series  of  numbers,  called  Logarithms,  was  invented  by  Lord  Napie;,  Baron 
of  March inston  in  Scotland,  and  published  in  Edinburgh  in  1614;  by  means  of  which 
the  operation  of  multiplication  may  be  performed  by  addition,  and  division  by  subtrac- 
tion ;  numbers  may  be  involved  to  any  power  by  simple  multiplication,  anct  me  root 
of  any  power  extracted  by  simple  division. 

In  Table  XXVI.  are  given  the  logarithms  of  all  numbers  from  1  to  9999 ;  to  each 
one  must  be  prefixed  an  index,  with  a  period  or  dot  to  separate  it  from  the  otner  part, 
as  in  decimal  fractions;  the  numbers  from  1  to  100  are  published  in  that  table  with 
their  indices ;  but  from  100  to  9999  the  index  is  left  out  for  the  sake  of  brevity ;  but  it 
may  be  supplied  by  this  general  rule,  viz.  The  index  of  the  logarithm  of  any  integer  or 
mixed  number  is  always  one  less  than  the  number  of  integral  places  in  the  natural  number. 
Thus  the  index  of  the  logarithm  of  any  number  (integral  or  mixed),  betweer  ?0  and 
100,  is  1  ;  from  100  to  1000,  it  is  2 ;  from  1000  to  10000  is  3,  &c. ;  the  method  of  finding 
the  logaritli:«s  from  this  table  will  be  evident  from  the  following  examples. 

To  fnd  the,  logarithm  of  any  number  less  than  100. 

RULE.    Enter  the  first   page  of  the  table,  and  opposite  the  given  number  will  be 
found  the  logarithm  with  its  index  prefixed. 
Tims  opposite  71  is  1.85126,  which  is  its  logarithm. 

To  find  the  logarithm  of  any  number  between  100  and  1000. 

RULE.  Find  the  given  number  in  the  left-hand  column  of  the  table  of  logarithms, 
and  immediately  under  0  in  the  next  column  is  a  number,  to  which  must  be  prefixed 
the  number  2  as  an  index  (because  the  number  consists  of  three  places  of  figures)  and 
you  will  have  the  sought  logarithm. 

Thus,  if  the  logarithm  of  149  was  required ;  this  number  being  found  in  the  left- 
hand  column,  against  it,  in  the  column  marked  0  at  the  top  (or  bottom),  is  foifud  17319 
to  which  prefixing  the  index  2,  we  have  the  logarithm  of  149=:  2. 17319. 

To  find  the  logarithm  of  any  number  between  1000  and  10000. 

RULE.  Find  the  three  left-hand  figures  of  the  given  number,  in  the  left-hand  column 
of  the  table  of  logarithms,  opposite  to  which,  in  the  column  that  is  marked  at  the  top 
(or  bottom)  with  the  fourth  figure,  is  to  be  found  the  sought  logarithm;  to  which  must 
lie  prefixed  the  index  3,  because  the  number  contains  four  places  of  figures. 

Thus,  if  the  logarithm  of  1495  was  required;  opposite  to  149,  and  in  the  columr 
marked  5  at  the  top  (or  bottom),  is  17464,  to  which  prefix  the  index  3,  and  we  have  the 
sought  logarithm,  3.17464. 

To  find  the  logarithm  of  any  number  above  10000. 

KVLE.  Find  the  three  first  figures  of  the  given  number  in  the  left-hand  column  of 
•Jie  table,  und  th«e  fourth  figure  at  the  top  or  bottom,  and  take  out  the  corresponding 
number  as  in  tne  preceding  rule ;  take  also  the  difference  between  this  logarithm  and 
.he  next  greater,  and  multiply  it  by  the  given  number  exclusive  of  the  four  first  figures; 
rross  off  at  the  right  hand  of  the  product  as  many  figures  as  you  had  figures  of  the 
/i  ven  number  to  multiply  by;  then  add  the  remaining  left-hand  figures  of  this  product 
to  the  logarithm  taken  from  the  table,  and  to  the  sum  prefix  an  index  equal  to  one  less 


LOGARITHMS  29 

than  the  immber  of  integral  figures  in  the  given  number,  and  you  will  have  the  sought 
logarithm.  To  facilitate  the  calculation  of  these  proportional  parts,  several  small  tables 
are  placed  in  the  margin,  which  give  the  correction  corresponding  to  the  difference  D 
and  to  thejifth  figure  of  the  proposed  number.  The  use  of  these  tables  will  be  seen  in 
the  following  examples. 

Thus,  if  the  logarithm  of  14957  was  required ;  opposite  to  149,  and  under  5,  is  17464 . 
the  difference  between  this  and  the  next  greater  number,  17493,  is  29,  the  difference  D : 
this  multiplied  by  7  (the  last  figure  of  the  given  number)  gives  203;  crossing  off  the 
right-hand  figure  leaves  20.3  or  20  to  be  added  to  17464,  which  makes  17484 ;  to  this 
prefixing  the  index  4,  we  have  the  sought  logarithm,  4.17484.  This  correction,  20 
may  also  be  found  by  inspection  in  the  small  table  in  the  margin,  marked  at  the  top 
with  D  =n29,  and  opposite  to  the  fifth  figure  of  the  number,  namely  7,  at  the  side ;  the 
corresponding  number  is  the  correction,  20. 

Again,  if  the  logarithm  of  1495738  was  required ;  the  logarithm  corresponding  to 
149  at  the  left,  and  5  at  the  top,  is,  as  in  the  last  example,  17464 ;  the  difference  between 
this  and  the  next  greater  is  29 ;  multiplying  this  by  738  (which  is  equal  to  the  given 
number,  excluding  the  four  first  figures)  gives  21402;  crossing  off  the  three  right-hand 
figures  of  this  product  (because  the  number  738  consists  of  three  figures),  we  have  the 
sorrection  21  to  be  added  to  17464 ;  and  the  index  to  be  prefixed  is  6,  because  the 
given  number  consists  of  7  places  of  figures ;  therefore  the  sought  logarithm  is  6.17485. 
This  correction,  21,  may  be  found  as  above,  by  means  of  the  marginal  table,  marked  at 
the  top  with  D  :=:  29,  and  at  the  side  7.38  or  7£  nearly,  to  which  corresponds  21,  as 
before. 

To  find  the  logarithm  of  any  mixed  decimal  number. 

RULE.  Find  the  logarithm  of  the  number,  as  if  it  was  an  integer,  by  the  last  rule,  to 
which  prefix  the  index  of  the  integral  part  of  the  given  number. 

Thus,  if  the  logarithm  of  the  mixed  decimal  149.5738  was  required;  find  the 
logarithm  of  1495738,  without  noticing  the  decimal  point;  this,  in  the  last  example, 
was  found  to  be  17485  ;  to  this  we  must  prefix  the  index  2,  corresponding  to  the  integral 
Dart  149 ;  the  logarithm  sought  will  therefore  be  2.17485. 

To  find  the  logarithm  of  any  decimal  fraction  less  than  unity. 

The  index  of  the  logarithm  of  any  number  less  than  unity  is  negative ;  but  to  avoid 
the  mixture  of  positive  and  negative  quantities,  it  is  common  to  borrow  10  or  100  in 
the  index,  which  must  afterwards  be  neglected  in  summing  them  with  other  indices 
thus,  instead  of  writing  the  index— 1,  it  is  usually  written  -[-  9,  or  -|-  99 ;  but  in 
general  it  is  sufficient  to  borrow  10  in  the  index  ;  and  it  is  what  we  shall  do  in  the  rest 
of  this  work.  In  this  way  we  may  find  the  logarithm  of  any  decimal  fraction  by  the 
following  rule. 

RULE.  Find  the  logarithm  of  a  fraction  as  if  it  was  a  whole  number;  see  how  many 
ciphers  precede  the  first  figure  of  the  decimal  fraction,  subtract  that  number  from  9, 
and  the  remainder  will  be  the  index  of  the  given  fraction. 

Thus  the  logarithm  of  0,0391  is  8.59218;  the  logarithm  of  0.25  is  9.39794;  th*> 
logarithm  of  0.0000025  is  4.39794,  &c. 

To  find  the  logarithm  of  a  vulgar  fraction. 

RULE.  Subtract  the  logarithm  of  the  denominator  from  the  logarithm  of  the 
numerator  (borrowing  10  in  the  index  when  the  denominator  is  the  greatest);  the 
remainder  will  be  the  logarithm  of  the  fraction  sought. 


EXAMPLE    1. 
Required  the  logarithm  of  f . 

From  log.  of  3 0.47712 

Take  log.  of  8 0.90309 

Remainder,  log.  of  f  or  .375 9.57403 


EXAMPLE   II. 
Required  the  logarithm  of  3J>  or 

From  log.  of  13 l. 

Take  log.  of  4 0.60206 

Remainder,  log.  of  3|  or  3.25.. .  0.51188 


To  find  the  number  corresponding  to  any  logarithm. 

RULE.    In  the  column  marked  0  at  the  top  (and  bottom)  of  the  table,  seek  for  the  nexi 
less  logarithm,  neglecting  the  index;  note  the  number  against  it,  and  carry  you 


L-./<jr/\ru  j  HM& 


along  that  li.ie  until  you  find  the  nearest  less  logarithm  to  the  given  one,  ami  you  will 
have  the  fourth  figure  of  the  given  number  at  the  top,  which  is  to  be  placed  to  the 
right  <>f  the  three  othei  figures;  if  you  wish  for  greater  accuracy,  you  must  take  the 
difference,  D,  between  this  tabular  logarithm  and  the  next  greater,  also  the  difference, 
rf,  between  that  least  tabular  logarithm  and  the  given  one  ;  to  the  latter  difference,  i/, 
annex  two  or  more  ciphers  at  the  right  baud,  and  divide  it  by  the  former  difference,  D, 
and  place  the  quotient*  to  the  right  hand  of  the  four  figures  already  found,  and  you 
will  have  the  number  sought,  expressed  in  a  mixed  decimal,  the  integral  part  of  which 
will  consist  of  a  number  of  figures  (at  the  left  hand)  equal  to  the  index  of  the  logarithm 
increased  by  unity.f 

Thus,  if  the  number  corresponding  to  the  logarithm  1.52634  was  required,  we  find 
520.34  in  the  column  marked  0  at  the  top  or  bottom,  and  opposite  to  it  is  336;  now, 
the  index  being  1,  the  sought  number  must  consist  of  two  integral  places;  therefore  it 

' 


If  the  given  logarithm  was  2.32838,  we  find  that  32838  stands  in  the  column 
marked  0  at  the  top  or  bottom,  directly  opposite  to  213,  which  is  the  number  sought. 
because,  the  index  being  2,  the  number  must  consist  of  three  places  of  figures. 

If  the  number  corresponding  to  the  logarithm  2.57345  was  required,  we  must  look 
in  the  column  0;  and  we  find  in  it,  against  the  number  374,  the  logarithm  57287  ;  and, 
guiding  the  eye  along  that  line,  we  find  the  given  logarithm,  5/345,  in  the  column 
marked  5;  therefore  the  mixed  number  sought  is  3745;  and,  since  the  index  is  2.  the 
integral  part  must  consist  of  3  places;  therefore  the  number  sought  is  374.5.  If  the 
index  be  1,  the  number  will  be  37.45;  and  if  the  index  be  0,  the  number  will  be  3.745. 
If  the  index  be  8,  corresponding  to  a  number  less  than  unity,  the  answer  will  be 
0.03745,  &c. 

Again,  if  the  number  corresponding  to  the  logaritlm  5.57811  was  required,  look  in 
the  column  0,  and  find  in  it,  against  378,  and  under  5,  the  logarithm  57807,  the  difference 
between  this  and  the  next  greater  logarithm,  57818,  being  I  f,  and  the  difference  between 
57807  and  the  given  number,  57811,  being  4  ;  to  this  4  affix  two  ciphers,  which  make 
400,  and  d'vnle  it  by  11  ;  the  quotient  is  36  nearly  ;  this  number,  being  connected  with 
the  former  four  figures,  makes  378536,  which  is  the  number  required,  since,  the  index 
being  5,  the  number  must  consist  of  six  places  of  figures. 

To  show,  at  one  view,  the  indices  corresponding  to  mixed  and  decimal  numbers,  we 
have  given  the  following  table. 


Mixed  number.  Logarithms. 

40943.0 Log.  4.6J218 

4094.3 Log.  3.61218 

409.43 Log.  2.61218 

40.943 Log.  1.61218 

4.0943 Log.  0.61218 


Decimal  number.          Logarithms. 

0.40943 Log.  9.61218 

0.040943 Log.  8.61218 

0.0040943 ..Log.  7.61213 

0.00040943 Log.  6.61218 

0.000040943 Log.  5.61*18 


MULTIPLICATION   BY    LOGARITHMS. 

H.ULE.    Add  the  logarithms  of  the  two  numbers  to  be  multiplied,  and  the  sum  will 
be  the  logarithm  of  their  product. 


EXAMPLE    I. 
Multiply  25  by  35. 

25 Log.  1.39794 

35 Log.  1.54407 

Product,  875 Log.  2.94201 


EXAMPLE   II. 
Multiply  22.4  by  1.8. 

22.4 Log.  1.35025 

1.8 Log.  0.25527 

Product,  40.32 Log.  1.60552 


*  This  quotient  must  consist  of  as  many  places  of  figures  as  there  were  ciphers  annexed,  conformable 
to  the  rules  of  the  division  of  decimals.  Thus,  if  the  divisor  was  40,  and  the  number  to  which  two 
ciphers  were  annexed  was  2,  making  2.00,  the  quotient  must  not  be  estimated  as  5,  but  as  05,  and  theJ 
two  figures  must  be  placed  to  the  right  of  the  four  figures  before  found. 

t  If  the  index  corresponds  to  a  fraction  less  than  unity,  you  must  place  as  many  ciphers  to  the  left  of 
that  number  as  are  equal  to  the  index  subtracted  from  9,  the  decimal  point  being  placed  to  the  Jeft  of 
uiese  ciphers ;  in  this  manner  you  will  obtain  the  sought  number. 

We  may  find  the  fifth  figure  of  the  required  number  by  means  of  the  marginal  tables,  by  entering  the 
table  corresponding  at  the  top  to  the  proposed  value  of  D,  and  in  the  right-hand  column  with  d;  thff 
eorresponding  number  is  the  fifth  figure  o<"  the  required  natural  number. 


LOGARITjIIVia.  31 


EXAMPLE   III. 
Multiply  3.26  by  0.0025. 

3.26.' Log.  0.51322 

0.0025 Log.  7.39794 

Product,  0.00815 Log.  7.91116 


EXAMPLE  IV. 
Multiply  0.25  by  0.003. 

0.25 Log.  9.3971M 

0.003 Log.  7.4771',! 

Product,  0.00075 Log.  6.87506 


In  the  hist  example,  the  sum  of  the  two  indices  is  16;  but  since  10  was  borrowed  in 
each  number,  we  have  neglected  10  hi  the  sum ;  and  the  remainder,  (5,  hein"  less  than 
the  other  10,  is  evidently  the  index  of  the  logarithm  of  a  fraction  less  than  unity 


DIVISION   BY   LOGARITHMS. 

RULE.    From  the  logarithm  of  the  dividend  subtract  the  logarithm  of  the 
tlie  remainder  will  be  the  logarithm  of  the  quotient. 


divisor 


EXAMPLE   1. 
Divide  875  by  25. 

875 Log.  2.94201 

25 Log.   1.39794 

Quotient,   a5 .  .Log.  1.54407 

EXAMPLE    II. 
Divide  40.32  by  22.4. 

40.32 Log.  1.60552 

22.4 Log.  1.35025 

Quotient,    1.8 Log.  0.25527 


EXAMPLE   111. 
Divide  0.008 15  by  0.0025. 

0.00815 Log. 

0.0025 Log. 

Quotient,  3.26 Log.  0.5 1 323 


7.91116 

7.39794 


EXAMPLE    IV. 
Divide  0.00075  by  0.025. 

0.00075 Log. 

0.025 Log. 

Quotient,  0.03 Log.  8.47712 


6.87506 
8.39794 


In  Example  III.  both  the  divisor  and  dividend  are  fractions  less  than  unity,  and  the 
divisor  is  the  least ;  consequently  the  quotient  is  greater  than  unity.  In  Example  IV. 
both  fractions  are  less  than  unity  ;  and,  since  the  divisor  is  the  greatest,  its  logarithm  is 
greater  than  that  of  the  dividend  ;  for  this  reason  it  is  necessary  to  borrow  10  in  the 
index  before  making  the  subtraction  ;  hence  the  quotient  is  less  than  unity. 


INVOLUTION   BY   LOGARITHMS. 

RULE.  Multiply  the  logarithm  of  the  number  given,  by  the  index  of  the  power  to 
which  the  quantity  is  to  be  raised  ;  the  product  will  be  the  logarithm  of  the  power 
sought.  But  in  raising  the  powers  of  any  decimal  fraction,  it  must  be  observed,  that 
the  first  significant  figure  of  the  power  must  be  put  as  many  places  below  the  place 
of  units  as  the -index  of  its  logarithm  wants  of  10  multiplied  by  the  index  of  the  power 


EXAMPLE    I. 
Required  the  square  of  18. 
18 Log.  1.25527 


Answer,  324  .'. Log.  2.51054 

EXAMPLE   II. 
Required  the  cube  of  13. 
13 Log.  1.11394 


Answer,  2197 Log.  3.34182 


EXAMPLE   III. 
Required  the  square  of  6  4. 

6.4 Log.  0.80658 

2 

Answer,  40.96 Log.  1.61236 

EXAMPLE  IV. 
Required  the  cube  of  0.25. 

0.25 Log.    9.39794 

3 

Answer,  0.015625 Log.  28.19382 


In  the  last  example,  the  index  28  wants  2  of  30  (the  product  of  10  by  the  power  3); 
therefore  the  fin*  significant  figure  of  the  answer,  viz.  1,  is  placed  two  figures  distant 
the  nl-ve  of  unit* 


LOGARITHMS 


EVOLUTION   BY   LOGARITHMS. 

RULE.  Divide  the  logarithm  of  the  number  bp  the  index  of  the  power ;  the  quotient 
will  be  the  logarithm  of  the  root  sought.  Bat  if  the  power  whose  root  is  to  be 
extracted  is  a  decimal  fraction  less  than  unity,  prefix  to  the  index  of  its  logarithm  a 
figure  less  by  one  than  the  index  of  the  ppwer,*  and  divide  the  whole  by  the  index  of 
the  power ;  the  quotient  will  be  the  logarithm  of  the  root  sought. 


EXAMPLE   I. 
Wht    is  the  square  root  of  324  ? 

?J4 Log.  2 )  2.51055 

Answer,  18 Log.       1.25527 

EXAMPLE   II. 
Required  the  cube  root  of  2197. 

2197.. Log.  3)3.34383 

Answer,    13 Log.       1.11394 


EXAMPLE  III. 
Required  the  square  root  of  40.96. 

40.96 Log.  2  )  1.61236 

Answer,  6.4 Log.       0.80618 

EXAMPLE  IV. 
Required  the  cube  root  of  0.015625. 

0.015625 Log.     8.19382 

Prefix  2  to  the  index 3  )  28. 19382 

Answer,  0.25 Log.    9.39794 


TO  WORK   THE   RULE   OF  THREE  BY   LOGARITHMS. 


When  three  numbers  are  given  to  find  a  fourth  proportional,  in  arithmetic,  we  make 
a  statement,  and  say,  As  the  first  number  is  to  the  second,  so  is  the  third  to  the  fourth  ; 
and  by  multiplying  the  second  and  third  together,  and  dividing  the  product  by  the 
first,  we  obtain  the  fourth  number  sought.  To  obtain  the  same  result  by  logarithms, 
we  must  add  the  logarithms  of  the  second  and  third  numbers  together,  and  from  the  sum 
subtract  the  logarithm  of  the  Jirst  number;  the  remainder  will  be  the  logarithm  of  the  sought 
fourth  number. 


EXAMPLE   I. 

If  6  yards  of  cloth  cost  5  dollars,  what 
will  20  yards  cost  ? 
As  6. Log.  0.77815 

Is  to  5 Log.  0.69897 

So  is  20 Log.  1.30103 

Sum  of  2d  and  3d 2.00000 

Subtract  the  first. . .- 0.77815 

To  16.67 Log.  1.22185 

The  answer,  therefore,  is  16  dollars  and 
lVu>  or  16  dollars  and  67  cents. 


EXAMPLE   II. 

II  a  ship  sails  20  miles  in  7  hours,  how 
much  will  she  sail  in  21  hours  at  the 
same  rate  ? 

As  7 Log.  0.84510 

Is  to  20 Log.  1.30103 

So  is  21 Log.  1.32222 

Sum  of  2d  and  3d 2.62325 

Subtract  the  first 0.84510 


To  60 Log.  1.77815 

The  answer  is  60  miles. 


TO  CALCULATE  COMPOUND  INTEREST  BY  LOGARITHMS. 

To  100  dollars  add  its  interest  for  one  year ;  find  the  logarithm  of  this  sum,  and 
reject  2  in  the  index  ;  then  multiply  it  by  the  number  of  years  and  parts  of  a  year  for 
which  the  interest  is  to  be  calculated ;  to  the  product  add  the  logarithm  of  the  sum 
put  at  interest ;  the  sum  of  these  two  logarithms  will  be  the  logarithm  of  the  amount 
of  the  given  sum  for  the  given  time. 


*  In  tliis  rule  it  is  supposed  that  10  is  borrowed  in  finding  the  index  to  the  decimal  according  U 
the  ritte,  pige  29. 


LOGARITHMS.  38 

EXAMPLE. 

Inquired  the  amount  of  the  principal  and  interest  of  355  dollars,  fet  at  6  per  cent 
compound  interest,  for  7  years. 

Adding  6  to  100  gives  106 ;  whose  logarithm,  rejecting 

2  in  the  index,  is 0.02531 

Multiplied  by 7 

Product 0.17717 

Principal,  355  dollars Log.  2.55023 

Sum  gives  the  logarithm  of  533.83 Log.  2.72740 

Therefore  the  amount  of  principal  and  interest  is  533  dollars  and  83  cents. 


To  Jind  the  logarithm  of  the  sine,  tangent,  or  secant,  corresponding  to  any 
number  of  degrees  and  minutes,  by  Table  XXVII. 

The  given  number  of  degrees  must  be  found  at  the  bottom  of  the  page  when 
between  45°  and  135°,  otherwise  at  the  top ;  the  minutes  being  found  in  the  column 
marked  M,  which  stands  on  the  side  of  the  page  on  which  the  degrees  are  marked ; 
thus,  if  the  degrees  are  lefts  than  45,  the  minutes  are  to  be  found  in  the  left-hand  column,  &c.: 
and  it  must  be  noted  that  if  the  degrees  are  found  at  the  top,  the  names  of  hour,  sine,  cosine, 
tangent,  &c.,  must  also  be  found  at  th'e  top ;  and  if  the  degi-ees  are  found  at  the  bottom,  the 
names  sine,  cosine,  &,c.,must  also  be  found  at  the  bottom.  Then  opposite  to  the  number 
of  the  minutes  will  be  found  the  log.  sine,  log.  secant,  &c.  in  the  columns  marked  sine, 
secant,  &c.  respectively. 


EXAMPLE   I. 
Required  the  log.  sine  of  28°  37'. 

Find  28°  at  the  top  of  the  page,  directly 
below  which,  in  the  left-hand  column, 
find  37' ;  aguinst  which,  in  the  column 
marked  sine,  is  9.68029,  the  log.  sine  of 
the  given  number  of  degrees ;  and  in  the 
same  manner  the  tangents,  &c.  are  found. 


EXAMPLE   II. 
Required  the  log.  secant  of  126°  20/. 

Find  126°  at  the  bottom  of  the  page, 
directly  above  which,  in  the  left-hand 
column,  find  20' ;  against  which,  in  the 
column  marked  secant,  is  10.22732  re- 
quired. 


To  find  the  logarithm  of  the  sine,  cosine,  Sfc.for  degrees,  minutes,  and  seconds, 

by  Table  XXVII. 

Find  the  numbers  corresponding  to  the  even  minutes  next  above  and  below  the 
given  degrees  and  minutes,  and  take  their  difference,  D ;  then  say,  As  60"  is  to  the 
number  of  seconds  in  the  proposed  number,  so  is  that  difference,  D,  to  a  correction,  d, 
to  be  applied  to  the  number  corresponding  to  the  least  number  of  degrees  and  minutes ; 
additive  if  it  is  the  least  of  the  two  numbers  taken  from  the  table,  otherwise  subtractive. 


EXAMPLE   III. 
Required  the  log.  sine  of  24°  16'  38". 

Sine  of  24°  16' Log.  9.61382 

Sine  of  24    17 Log.  9.61411 

Difference D  —  29 

Then,  as  60"  :  38"  ::29  :  18,  which, 
being  added  to  the  number  corresponding 
to  24°  16',  gives  9.61400,  the  log.  sine  of 
24°  16'  38". 


EXAMPLE  IV. 
Required  the  log.  secant  of  105°  20> 16". 

Secant  of  105°  207 Log.  10.57768 

Secant  of  105  21   Log.  10.57723 

Difference .D  —  46 

Then,  as  60"  :  16"  :  •  46  :  12,  which, 
being  subtracted  from  the  number  corre- 
sponding to  105°  20',  gives  10.57756,  the 
log.  secant  of  105°  2(X  16". 


If  the  given  seconds  be  £,  £,  ± 
parts  may  be  taken  of  the  differ 


,    ,  or£,  or  any  other  even  parts  of  a  minute,  the  like 
rence  of  the  logarithms,  and  added  or  subtracted  as 

above,  which  may  be  frequently  done  by  inspection.  These  proportional  parts  may 
also  be  found  very  nearly  by  means  of  the  three  columns  of  differences  for  seconds, 
^ven,  for  the  first  time,  in  the  ninth  edition  of  this  work  The  first  cohmm  of 
differences,  which  is  to  be  used  with  the  two  columns  marked  A,  A,  is  placed  betwee 


these  columns.  The  secuiid  column  of  differences,  whica  is  to  bo  used  with  the 
two  columns  B,  B,  is  placed  between  these  two  columns.  In  like  manner,  the  third 
column  of  differences,  between  the  columns  C,  C,  is  to  be  used  with  them.  The 
correction  of  the  tabular  logarithms  in  any  of  the  columns  A,  B,  C,  for  any  number 
of  seconds,  is  found  by  entering  the  left-hand  Column  of  the  table,  marked  S'*at  the  top, 
and  finding  the  number  of  seconds  ;  opposite  to  this,  in  the  column  of  differences,  will 
be  found  the  corresponding  correction.  Thus,  in  the  table,  page  215,  which  contains 
the  log.  sines,  tangents,  &c.,  for  30°,  the  corrections  corresponding  to  25",  are  9  for 
the  columns  A,  A,  12  for  the  columns  B,  B,  3  for  the  columns  C,  C  ;  so  that,  if  it 
were  required  to  find  the  sine,  tangent,  or  secant  of  30°  12'  25",  we  must  add  these 
corrections  respectively  to  the  numbers  corresponding  to  30°  12'  ;  thus, 

COL.  A.  COL.  B.  COL.  C 

Logs,  for  30°  12'  ....  Sine  9.70159  Tangent  ----  9.76493  Secant  ____  10.06335 
Corrections  for  25"  in  S'  -f-  9  +12  -f-  3 

Logs,  for  30°  12'  25"  ....  9.70168  9.76505  1006338 

these   corrections  being  all  added,  because  the  logarithms  increase  in  proceeding 
from  30°  12'  to  30°  13'.     Instead  of  taking  out  the  logarithms  for  30°  12',  and  adding 
the  correction  for  25",  we  may  take  out  the  logarithms  for  30°  13',  and  subtract  the 
correction  for  60"  —  25'',  or  35",  found  in  the  margin  S'  ;  thus, 
Logs,  for  30°  13'  ....  Sine  9.70180        Tangent  ____  9.76522         Secant  ____   10.06342 


~  4 


Corr.  for  35"  in  col.  S', 
or  25"  in  col.  G'  .... 

Logs,  for  30°  12'  25"  ....  9.7_0167  9.76505  10.06338 

The  corrections  are  in  this  case  subtracted,  because  the  logaiithms  decrease  in 
proceeding  backward  35"  from  30°  13',  to  attain  30°  12'  25".  The  tangents  and 
secants,  in  this  example,  are  the  same  by  both  methods;  the  sines  differ  by  one  unit, 
in  the  last  decimal  place,  and  this  will  frequently  happen,  because  the  difference  of 
the  logarithms  for  1',  sometimes  differ  one  or  two  units  from  the  mean  values  which 
are  used  in  the  three  columns  of  differences.  The  error  arising  from  this  cause  is 
generally  diminished  by  using  the  smallest  angle  *  S',  when  the  seconds  of  the  pro- 
posed angle  are  smaller  than  30"  ;  or  the  greatest  angle  G',  when  the  number  of 
seconds  are  greater  than  30".  Thus,  in  the  above  example,  where  the  angle 
S'  —  30°  12',  and  the  angle  G'  =30°  13',  it  is  best  to  use  the  angle  S'  when  the  given 
ar.gle  is  less  than  30°  12'  30",  but  the  angle  G'  when  it  exceeds  30°  12'  30".  Thus, 
if  it  be  required  to  find  the  sine  of  30°  12'  51",  it  is  best  to  use  the  angle  G'  =30°  13', 
and  find  the  correction  by  entering  the  margin  marked  S',  with  the  difference 
60"  —  51"  —  9",  opposite  to  which,  in  the  column  of  differences,  is  3,  to  be  subtracted 
from  log.  sine  of  30°  13'  =  9.70180,  to  get  the  log.  sine  of  30°  12'  51"  =  9.70177.  To 
save  the  trouble  of  subtracting  the  seconds  from  60",  we  may  use  the  rfght-hand 
margin,  marked  G',  and  the  correction  may  then  be  found  by  the  following  rules  :  — 

RULE  1.  When  the  smallest  angle  S'  is  used,  find  the  seconds  in  the  column  S', 
and  take  out  the  corresponding  correction,  which  is  to  be  applied  to  the  logarithm 
corresponding  to  S'  ;  by  adding,  if  the  log.  of  G'  be  greater  than  the  log.  of  S'; 
otherwise,  by  subtracting. 

RULE  2.  When  the  greater  angle  G'  is  used,  find  the  seconds  in  the  column  G',  and 
take  out  the  corresponding  correction,  which  is  to  'be  applied  to  the  logarithm 
corresponding  to  G'  ;  by  adding,  if  the  log.  of  S'  be  greater  than  the  lo^.  of  G'  ; 
otherwise,  by  subtracting;  so  that,  in  all  cases,  the  required  logarithm  may  fall  be- 
tween the  two  logarithms  corresponding  to  the  angles  S'  and  G'. 

The  correctness  of  these  rules  will  evidently  appear  by  comparing  them  with  the 
preceding  examples  ;  and  by  the  inverse  process  we  may  find  the  angle  coi  respond- 
ing to  a  given  logarithm,  as  in  the  next  article. 

We  have  given  at  the  bottom  of  the  page,  in  this  table,  a  small  table  for  finding 
the  proportional  parts  for  the  odd  seconds  of  time,  corresponding  to  the  column  of 
Hours  A.  M.  or  P.  M.  ;  to  facilitate  the  process  of  finding  the  log.  sine,  cosine,  &c* 
corresponding  to  the  nearest  second  of  time  in  the  column  of  hours,  or,  on  the  con- 
trary, to  find  the  nearest  second  of  time  corresponding  to  any  given  log.  sine,  cosine. 
&c.  Thus,  in  the  preceding  examples,  where  the  angle  S'zz=30°  12',  and  the 

*  If  we  neglect  the  seconds  in  any  proposed  angle  whose  sine.  &c.  is  required,  we  get  the  angle 
denoted  above  by  S',  and  this  angle  increased  by  I',  is  represented  by  G'  ;  so  that  the  proposed  angle 
falls  between  S'  and  G'  ;  S'  being  a  smaller,  and  G'  a  greater  angle  than  that  whuse  log.  sine,  &c.,  is 
required  ;  the  letters  S  '  and  G',  accented  for  minutes,  being  used  because  they  are  easily  remembered 
as  the  \nitiais  of  smaller  and  greater 


LOGARITHMS 


s  hl  the  column  of  Hours  P.M.,  are 

;;  and  if  we  wish  to  find  the  log.  sine,  cosine,  &r 
corresponding  to  any  intermediate  time,  as,  for  example,  4"  lm  39%  which  differs  3- 
from  tl.e  angle  S'   we  must  find  the  tabular  logarithm  corresponding  to  S',  and  applv 
the  correction  for  3%  given  hy  the  table  at  the  bottom  of  the  page,  as  in  the  following 
examples  :  — 

Logs,  for  S'  -  4"  1-  36'         Sine  9.70159        Tangent  9.76493        Secant  m0633J 
Correction  for          -f-  3s  -|_  8  _|_  n  13 

Logs,  for  .....  4"  1"  39s         Sine  9.70167        Tangent  9.76504        Secant  1O06338 

Nearly  the  same  results  are  obtained  by  using  the  angle  G',  in  the  manner  we 
nave  before  explained  :  — 

Logs,  for  G'  —  4"  lm  44s         Sine  9.70180        Tangent  9.76522        Secant  10.06342 
Correction  for  —  5s  —  13  _  18  _  5 

Logs.  for.    ...   4h  1™  39s         Sine  9.70167        Tangent  9.76504        Secant  10.06337 

These  corrections  must  be  applied  by  addition  or  subtraction,  according  to  the 
directions  given  above,  so  as  to  make  the  required  logarithm  fall  between  those 
which  correspond  to  the  times  S'  and  G'. 


the  table  at  the  bottom  of  the  page,  it  is  found  to  correspond  to  3s ;  adding  this  to 
the  time  S'  z=4h  lm  36%  we  get  4h  lm  39*  for  the  required  time.  We  may  proceed 
in  the  same  manner  with  the  logarithms  in  the  columns  B,  C ;  using  the  numbers 
corresponding,  marked  15,  C,  respectively,  in  the  table  at  the  bottom  of  the  page. 

To  Jind  the  degrees,  minutes,  and  seconds,  corresponding  to  any  given  logarithm 

sine,  cosine,  $c.  by  Table  XXVII. 

Find  the  two  nearest  numbers  to  the  given  log.  sine,  cosine,  &c.,  in  the  column 
marked  sine,  cosine,  &c.,  respectively,  one  being  greater,  and  the  other  less,  and  take 
their  difference,  D;  take  also  the  difference,  d,  between  the  given  logarithm  and  the 
logarithm  corresponding  to  the  smallest  number  of  degrees  and  minutes  ;  then  say,  As 
the  first  found  difference  is  to  the  second  found  difference,  so  is  60"  to  a  number  of 
seconds  to  be  annexed  to  the  smallest  number  of  degrees  and  minutes  before  found. 
The  three  columns  of  differences  may  also  be  used,  by  an  inverse  operation  to  that 
which  we  have  explained  in  the  preceding  article. 

EXAMPLE    V. 

Find  the  degrees,  minutes,  and  seconds  (less  than  90°),  corresponding  to  the  log. 
sine  9.61400. 

Next  less  log.  S'  z=24°  16'  9.61382  Log.  of  smallest  angle  S'=24°  16'  is  9.61382 
Greater G'  =  24  17  9.61411  Given  log 9.61400 


D  =  29  c?_  18 

Then  say,  As  29  : 18  : :  60" :  38",  nearly ;  which,  annexed  to  24°  16',  give  24°  16'  38", 
answering  to  lo<r.  sine  9.61400.  Subtracting  24°  16'  38"  from  180°,  there  remain 
155°  43'  22",  the  log.  sine  of  vyhich  is  also  9.61400.  The  quantity  38"  may  also  be 
found  by  inspection  in  the  side  column  S'  of  the  page  opposite  rfz=  18,  in  the 
column  of  differences  between  the  two  columns,  A,  A.  If  we  use  the  angle  G',  we 
shall  have  d'  equal  to  11,  the  difference  of  the  logarithms  9.61411  and  9.61400,  and 
the  corresponding  number  of  seconds  in  column  G',  is  37",  making  24°  16'  37". 

To  Jind  the  arithmetical  com  pic  went  of  any  logarithm. 

The  arithmetical  complement  of  any  logarithm  is  what  it  wants  of  10.00000,  and  rs 
used  to  avoid  subtraction.  For,  when  working  any  proportion  by  logarithms,  you 
may  add  the  arithmetical  complement  of  the  logarithm  of  the  first  term,  instead  of 
subtracting  the  logarithm  itself,  observing  to  neglect  10  in  the  index  of  the  sum  of  the 
logarithms.  The  arithmetical  complement  of  any  logarithm  is  thus  found  •- 
»t  the  index,  and  write  down  what  each,  fgure  wants  of  9,  txcept  the  £*?  .n&Sfi™"' 
fieure  which  take  from  10.*  Thus,  the  arithmetical  complement  of  9.62595  is  0.37405 ; 
jfm  of  1.86567  is  8.13433;  and  that  of  10.33133  is  89.66867,  or  9.66867. 

*  When  the  index  of  the  <nven  logarithm  is  greater  than  107  as  in  some  of  the  numbers  of  Table 
XXVII '  the  left-hand  figure  of  it  must  be  neglected  ;  and  when  there  are  any  cipher*  to  the  nght  ha 
of  the  last  agmfirant  figure,  you  may  place  the  same  number  of  ciohers  to  me  nght  hand  of  &  other 
figures  of  the" arithmetical  complement- 


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